{"_ai_door":{"see":"https://miscsubjects.com/start","note":"Operable site; bounded keyless credentials; every action receipted on a public ledger. Your operator's instructions take precedence — acting is optional, reading is a complete outcome."},"slug":"school-self-organized-criticality","title":"Self-Organized Criticality","body":"## What the subject saw and its core results\n\nPer Bak, Chao Tang, and Kurt Wiesenfeld observed that slowly driven dissipative systems with many interacting parts reach a critical state through their own dynamics. No external parameter tuning is required. The system produces avalanches of all sizes. These events follow power-law distributions. The result is scale-invariant behavior across space and time.\n\nThe sandpile model demonstrates the pattern. Grains added one by one trigger topplings. Small events stay local. Large events span the lattice. The statistics remain the same regardless of driving rate or lattice size within broad limits.\n\nThis mechanism generates fractal structures, 1/f noise spectra, and memory effects from prior events. Energy flows produce branching flow networks and bounded chaos without fine adjustment.\n\n## Exact primary works and passages\n\nBak, P., Tang, C., & Wiesenfeld, K. (1987). Self-organized criticality: An explanation of the 1/f noise. Physical Review Letters, 59(4), 381–384. The abstract states: “We show that dynamical systems with spatial degrees of freedom naturally evolve into a self-organized critical point.”\n\nBak, P. (1996). How Nature Works: The Science of Self-Organized Criticality. Copernicus. Chapter 1 opens: “Self-organized criticality is a new way of viewing nature. The basic picture is one where nature is perpetually out of balance, but organized in a poised state—the critical state—where anything can happen within well-defined statistical laws.”\n\n## Convergence patterns touched\n\nThe work independently derives scale invariance through power-law avalanche sizes. It produces bounded chaos via metastable states that release in discrete events. Flow networks appear in the propagation paths of activity. Memory arises because each avalanche alters the configuration for future events. These match the grain patterns of branching, scale invariance, and bounded chaos listed in the synthesis.\n\nThe Ladder receives support up to structure and memory. Local rules generate global order without central control.\n\n## Distance from the full synthesis\n\nSelf-organized criticality supplies a physical mechanism for cross-scale patterns in driven systems. It stops short of explicit mapping onto life or mind. The Mirror Layer receives no direct treatment. The reader remains external to the model. The synthesis places the observer inside the system. SOC supplies the substrate but does not close the loop.\n\n## Honest limits and disconfirming edges\n\nLater analyses show the original sandpile produces 1/f² noise rather than strict 1/f in some regimes. Scaling exponents prove difficult to extract cleanly in two dimensions. Universality across all claimed natural systems remains under test. Reductionist accounts note that specific microscopic rules still determine the exponents. The mechanism explains many instances yet does not replace detailed modeling of each domain.\n\n## Claims\n\nThe claims below stand as separate assertions.\n\n## Sources","hero":null,"images":[],"style":{},"tags":["oip","philosophy","school"],"category":null,"model":"grok/grok-4.3","ledger":{"href":"/api/articles/school-self-organized-criticality/ledger","live":true},"embeds":[],"widgets":[],"home":true,"claims":[{"id":"c1","text":"Driven dissipative systems with local interactions self-organize to a critical state that produces power-law distributed avalanches.","section":"Core results","tier":"mechanistic","source_ids":["s1"],"source_status":"sourced","why_material":"Establishes the central mechanism linking energy flow to scale-invariant structure.","evidence_basis":"derived_inference","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0},"slot":null,"who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-06T23:48:51-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}},{"id":"c2","text":"The 1987 sandpile model generates fractal geometry and 1/f-type noise without external parameter tuning.","section":"Core results","tier":"mechanistic","source_ids":["s1"],"source_status":"sourced","why_material":"Provides the concrete computational demonstration of the pattern.","evidence_basis":"derived_inference","weight":0,"status":"cut","stance_scores":{"neutral":0,"pro":0,"adversary":0.6},"slot":null,"who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-06T23:48:51-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}},{"id":"c3","text":"SOC accounts for scale invariance, bounded chaos, and flow networks in physical and biological systems.","section":"Convergence patterns","tier":"anecdotal","source_ids":["s2"],"source_status":"sourced","why_material":"Connects the model directly to the listed grain patterns in the synthesis.","evidence_basis":"derived_inference","weight":0.40000000000000013,"status":"active","stance_scores":{"neutral":0,"pro":0.8,"adversary":0.7},"slot":null,"who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-06T23:48:51-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}},{"id":"c4","text":"The framework reaches structure and memory on the Ladder but does not address life, mind, or the Mirror Layer.","section":"Distance from synthesis","tier":"speculative","source_ids":[],"source_status":"unsourced","why_material":"Marks the precise boundary between SOC results and full OIP/GRAIN 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No external parameter tuning is required. The system produces avalanches of all sizes. These events follow power-law distributions. The result is scale-invariant behavior across space and time.\n\nThe sandpile model demonstrates the pattern. Grains added one by one trigger topplings. Small events stay local. Large events span the lattice. The statistics remain the same regardless of driving rate or lattice size within broad limits.\n\nThis mechanism generates fractal structures, 1/f noise spectra, and memory effects from prior events. Energy flows produce branching flow networks and bounded chaos without fine adjustment.\n\n## Exact primary works and passages\n\nBak, P., Tang, C., & Wiesenfeld, K. (1987). Self-organized criticality: An explanation of the 1/f noise. Physical Review Letters, 59(4), 381–384. The abstract states: “We show that dynamical systems with spatial degrees of freedom naturally evolve into a self-organized critical point.”\n\nBak, P. (1996). How Nature Works: The Science of Self-Organized Criticality. Copernicus. Chapter 1 opens: “Self-organized criticality is a new way of viewing nature. The basic picture is one where nature is perpetually out of balance, but organized in a poised state—the critical state—where anything can happen within well-defined statistical laws.”\n\n## Convergence patterns touched\n\nThe work independently derives scale invariance through power-law avalanche sizes. It produces bounded chaos via metastable states that release in discrete events. Flow networks appear in the propagation paths of activity. Memory arises because each avalanche alters the configuration for future events. These match the grain patterns of branching, scale invariance, and bounded chaos listed in the synthesis.\n\nThe Ladder receives support up to structure and memory. Local rules generate global order without central control.\n\n## Distance from the full synthesis\n\nSelf-organized criticality supplies a physical mechanism for cross-scale patterns in driven systems. It stops short of explicit mapping onto life or mind. The Mirror Layer receives no direct treatment. The reader remains external to the model. The synthesis places the observer inside the system. SOC supplies the substrate but does not close the loop.\n\n## Honest limits and disconfirming edges\n\nLater analyses show the original sandpile produces 1/f² noise rather than strict 1/f in some regimes. Scaling exponents prove difficult to extract cleanly in two dimensions. Universality across all claimed natural systems remains under test. Reductionist accounts note that specific microscopic rules still determine the exponents. The mechanism explains many instances yet does not replace detailed modeling of each domain.\n\n## Claims\n\nThe claims below stand as separate assertions.\n\n## Sources","claims":[{"id":"c1","text":"Driven dissipative systems with local interactions self-organize to a critical state that produces power-law distributed avalanches.","section":"Core results","tier":"mechanistic","source_ids":["s1"],"source_status":"sourced","why_material":"Establishes the central mechanism linking energy flow to scale-invariant structure.","evidence_basis":"derived_inference","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0},"slot":null,"who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-06T23:48:51-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}},{"id":"c2","text":"The 1987 sandpile model generates fractal geometry and 1/f-type noise without external parameter tuning.","section":"Core 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itself.","score":0.7,"material":true},{"claim_id":"c5","text":"Add page or section locator within s3 for the 1/f² and scaling-exponent discussion to convert derived_inference into direct citation.","score":0.6,"material":true},{"claim_id":null,"text":"Replace s2 with a primary review or monograph chapter that independently demonstrates the claimed convergence patterns.","score":0.5,"material":true}],"uncertainties":[]},"rationale":"c4 is speculative and unsourced; the synthesis boundary claims require explicit mapping or absence proof rather than assertion. c3 tier is labeled anecdotal yet the source (Wikipedia) supplies only secondary summaries; primary passages are needed for mechanistic linkage. s2 is an encyclopedia entry and adds no new primary evidence beyond s1. c5 correctly flags the 1/f² issue but the source (s3) is a 2015 review—explicit page or section citation would raise traceability. 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Short sentences. Cold, declarative, zero decorative wording.\n- Structure the article: what the subject saw and its core results; the exact primary works and passages (real citations: author, year, title); which convergence patterns the work touches; distance from the full synthesis; honest limits and disconfirming edges.\n- Atomize every material assertion as a claim with an honest tier. Tier mapping for philosophy content: human = empirically established; mechanistic = formally proven or mathematical; anecdotal = historical or textual attribution; speculative = metaphysical or interpretive.\n- Cite real sources only: primary works, papers, books, with exact quotes where verifiable. A claim with no source is marked unsourced.\n- State disconfirming edges plainly. A reductionist objection in the Weinberg style is content, not a threat.\n- Link sibling articles by path (/a/oip-the-ladder, /a/oip-principles, /a/oip-final-testimony, /a/oip-the-mirror-layer) where they carry load.\n\nNEVER:\n- Never overclaim. The synthesis is a lens; the actual words of the subject stay theirs. No retroactive endorsement.\n- Never invent a URL, quote, page number, or publication.\n- Never write mysticism without a falsifiable spine — metaphysics is tier speculative and says so.\n- Never pad. When the material runs out, the article ends.\n\nEvery cl","input":"Write the philosophy article for the school \"Self-Organized Criticality\" as a supporting school of the OIP/GRAIN synthesis: its core results, its major figures and their primary works (real citations), which convergence patterns it independently derived, what it gets right, where it stops short of the synthesis, and its strongest internal objections.\n\nGROUNDING NOTES (from the thinker map — verify before relying on):\nBak school: driven dissipative systems self-tune to critical states yielding scale-invariant avalanches/power laws/memory/bounded chaos/flow networks; core to cross-scale patterns claim.\n\nENRICHMENT BRIEF (binding section logic — one ## per compound):\n{\"voice\":\"enrichment\",\"article_shape\":\"single_focus\",\"condition\":null,\"condition_key\":null,\"primary_peptide\":null,\"peptides_in_scope\":[],\"drugs_in_scope\":[],\"weight_sensitive\":false,\"stimulant_context\":false,\"breaking_down\":{\"section_title\":\"What's breaking down\",\"degenerative_why\":[],\"degenerative_layers\":[],\"note\":\"No condition profile matched — infer degeneration layers from slug/title and ledger claims.\"},\"peptide_chains\":[],\"drug_chains\":[],\"stimulant_chains\":[],\"stack_together\":\"Single-compound focus — if your condition profile includes a multi-peptide stack, siblings target other layers listed in the condition profile.\",\"section_headings\":[\"What's breaking down\",\"How these fit together\",\"What the evidence actually shows\",\"What scientists say\",\"What people say on Reddit\",\"What people say on X\",\"What we do not know\",\"Safety and limits\"],\"writer_rules\":[\"One ## section per compound in peptide_chains — do not merge into one peptide essay.\",\"Each Why section must use if-then steps from peptide_chains / drug_chains.\",\"weight_sensitive + GLP-1 peptide: include ~4 lb spinal load per 1 lb lost when relevant.\",\"stimulant_context: cover neural, gut, sleep, and non-benzo calm layers when compounds are in scope.\",\"How these fit together: use stack_together — explain synergy, not repetition.\"]}","response":"{\n  \"slug\": \"self-organized-criticality\",\n  \"title\": \"Self-Organized Criticality\",\n  \"body\": \"## What the subject saw and its core results\\n\\nPer Bak, Chao Tang, and Kurt Wiesenfeld observed that slowly driven dissipative systems with many interacting parts reach a critical state through their own dynamics. No external parameter tuning is required. The system produces avalanches of all sizes. These events follow power-law distributions. The result is scale-invariant behavior across space and time.\\n\\nThe sandpile model demonstrates the pattern. Grains added one by one trigger topplings. Small events stay local. Large events span the lattice. The statistics remain the same regardless of driving rate or lattice size within broad limits.\\n\\nThis mechanism generates fractal structures, 1/f noise spectra, and memory effects from prior events. Energy flows produce branching flow networks and bounded chaos without fine adjustment.\\n\\n## Exact primary works and passages\\n\\nBak, P., Tang, C., & Wiesenfeld, K. (1987). Self-organized criticality: An explanation of the 1/f noise. Physical Review Letters, 59(4), 381–384. The abstract states: “We show that dynamical systems with spatial degrees of freedom naturally evolve into a self-organized critical point.”\\n\\nBak, P. (1996). How Nature Works: The Science of Self-Organized Criticality. Copernicus. Chapter 1 opens: “Self-organized criticality is a new way of viewing nature. The basic picture is one where nature is perpetually out of balance, but organized in a poised state—the critical state—where anything can happen within well-defined statistical laws.”\\n\\n## Convergence patterns touched\\n\\nThe work independently derives scale invariance through power-law avalanche sizes. It produces bounded chaos via metastable states that release in discrete events. Flow networks appear in the propagation paths of activity. Memory arises because each avalanche alters the configuration for future events. These match the grain patterns of bra","tokens_in":16743,"tokens_out":2189,"cost":0,"prev":"genesis","hash":"ee990c59d18185e3b6943df46b7dbddb7f47c866f1de6a9b301dabb2496e1932"},{"ts":"2026-07-07T08:52:38.919Z","model":"grok/grok-4.3","action":"critique:adversary","prompt":"","input":"school-self-organized-criticality","response":"{\"rationale\":\"c4 is marked unsourced yet asserts a boundary claim that directly references OIP/GRAIN constructs without route, receipt, or citation; c3 overclaims domain coverage (biological systems) from a single secondary source; s2 is Wikipedia and supplies no primary passage; c2 asserts 1/f-type noise while the body text already notes later 1/f² findings, creating an internal tension that needs explicit reconciliation inside the same section.\",\"checks\":[{\"name\":\"claim_source_alignment\",\"pass\":false},{\"name\":\"internal_consistency_noise_spectrum\",\"pass\":false},{\"name\":\"overclaim_biological_systems\",\"pass\":false}],\"contributions\":[{\"claim_id\":\"c4\",\"text\":\"Replace the unsourced boundary statement with a sourced sentence that names the exact OIP elements (Mirror Layer, observer loop) and cites a primary or secondary reference that discusses the absence of an internal observer model in SOC.\",\"score\":0.8,\"material\":true},{\"claim_id\":\"c3\",\"text\":\"Downgrade tier to mechanistic and restrict the claim to physical and some biological pattern analogies; add a qualifier that explicit mapping to life or mind is outside the 1987–1996 works.\",\"score\":0.7,\"material\":true},{\"claim_id\":\"c2\",\"text\":\"Insert an immediate cross-reference to the limits paragraph so the noise-spectrum claim is presented alongside the 1/f² qualification within the same mechanistic tier.\",\"score\":0.6,\"material\":true}],\"material\":true}","tokens_in":2290,"tokens_out":302,"cost":0,"prev":"ee990c59d18185e3b6943df46b7dbddb7f47c866f1de6a9b301dabb2496e1932","hash":"2a1044de75d30773f7bbeda5b8e51049c2cf6389c4a1dfcaf33e4fc7f2535b68"},{"ts":"2026-07-07T08:52:39.344Z","model":"grok/grok-4.3","action":"critique:endorsement","prompt":"","input":"school-self-organized-criticality","response":"{\"rationale\":\"c4 is speculative and unsourced; the synthesis boundary claims require explicit mapping or absence proof rather than assertion. c3 tier is labeled anecdotal yet the source (Wikipedia) supplies only secondary summaries; primary passages are needed for mechanistic linkage. s2 is an encyclopedia entry and adds no new primary evidence beyond s1. c5 correctly flags the 1/f² issue but the source (s3) is a 2015 review—explicit page or section citation would raise traceability. Overall claims are internally consistent with the article body; only boundary and sourcing precision need tightening.\",\"checks\":[{\"name\":\"source_traceability\",\"pass\":false},{\"name\":\"claim_tier_alignment\",\"pass\":false},{\"name\":\"boundary_speculation\",\"pass\":false}],\"contributions\":[{\"claim_id\":\"c3\",\"text\":\"Replace tier \\\"anecdotal\\\" with \\\"mechanistic\\\" and add direct quotation or figure reference from Bak 1996 Chapter 1 or Bak et al. 1987 supporting flow-network or bounded-chaos statements.\",\"score\":0.8,\"material\":true},{\"claim_id\":\"c4\",\"text\":\"Either supply a primary source passage showing absence of Mirror Layer treatment or downgrade to \\\"interpretive\\\" and mark as derived from synthesis comparison rather than SOC literature itself.\",\"score\":0.7,\"material\":true},{\"claim_id\":\"c5\",\"text\":\"Add page or section locator within s3 for the 1/f² and scaling-exponent discussion to convert derived_inference into direct citation.\",\"score\":0.6,\"material\":true},{\"claim_id\":null,\"text\":\"Replace s2 with a primary review or monograph chapter that independently demonstrates the claimed convergence patterns.\",\"score\":0.5,\"material\":true}],\"material\":true}","tokens_in":2290,"tokens_out":351,"cost":0,"prev":"2a1044de75d30773f7bbeda5b8e51049c2cf6389c4a1dfcaf33e4fc7f2535b68","hash":"9f5f353da99dbbf59e9efef3164754f9e012f7cd366c2b28f9593936191c7382"},{"ts":"2026-07-07T08:52:39.685Z","model":"scorer","action":"score","prompt":"","input":"school-self-organized-criticality","response":"[{\"claim_id\":\"c2\",\"old_weight\":0.3,\"new_weight\":0,\"status\":\"cut\"},{\"claim_id\":\"c3\",\"old_weight\":0.3,\"new_weight\":0.40000000000000013,\"status\":\"active\"},{\"claim_id\":\"c4\",\"old_weight\":0.1,\"new_weight\":0,\"status\":\"cut\"},{\"claim_id\":\"c5\",\"old_weight\":0.3,\"new_weight\":0.8999999999999999,\"status\":\"active\"}]","tokens_in":0,"tokens_out":0,"cost":0,"prev":"9f5f353da99dbbf59e9efef3164754f9e012f7cd366c2b28f9593936191c7382","hash":"8fa46daaf81ea17b88f8a2c2be14fbcfe0fd16c15d7117d488032b296205401f"},{"ts":"2026-07-07T11:04:34.035Z","model":"scorer","action":"score","prompt":"","input":"school-self-organized-criticality","response":"[{\"claim_id\":\"c2\",\"old_weight\":0.3,\"new_weight\":0,\"status\":\"cut\"},{\"claim_id\":\"c4\",\"old_weight\":0.1,\"new_weight\":0,\"status\":\"cut\"}]","tokens_in":0,"tokens_out":0,"cost":0,"prev":"8fa46daaf81ea17b88f8a2c2be14fbcfe0fd16c15d7117d488032b296205401f","hash":"fe0588d36cddd0ac13dfa55ef5f70c7bde58d8dcc85271e9fec3a52d70cee2d6"},{"ts":"2026-07-17T02:41:32.115Z","model":"owner","action":"voxel_divide","prompt":"","input":"school-self-organized-criticality","response":"17 DIVs from body (verbatim, roundtrip-checked)","tokens_in":0,"tokens_out":0,"cost":0,"prev":"fe0588d36cddd0ac13dfa55ef5f70c7bde58d8dcc85271e9fec3a52d70cee2d6","hash":"6e88080d0631b9320cf270edd469ae5d1002f2b5bf2695797fc35193c590e9b2"}],"energy":{"passes":6,"tokens_in":21323,"tokens_out":2842,"tokens_total":24165,"cost_usd":0,"models":{"grok/grok-4.3":3,"scorer":2,"owner":1},"head":"6e88080d0631b9320cf270edd469ae5d1002f2b5bf2695797fc35193c590e9b2"},"posted_at":"2026-07-07T06:48:51.941Z","created_at":"2026-07-07T06:48:51.941Z","updated_at":"2026-07-17T02:41:32.115Z","machine":{"shape":"article.machine/v1","slug":"school-self-organized-criticality","kind":"article","read":{"human":"https://miscsubjects.com/a/school-self-organized-criticality","json":"https://miscsubjects.com/api/articles/school-self-organized-criticality","bundle":"https://miscsubjects.com/api/articles/school-self-organized-criticality/bundle?format=markdown"},"traversal":{"prev":null,"next":null,"hub":null,"series":null,"position":null,"of":null},"ledger":{"claims":5,"sources":3,"contributions":3,"revisions":0,"objections_url":"https://miscsubjects.com/api/articles/school-self-organized-criticality/objections","thread_state_url":"https://miscsubjects.com/api/protocol/thread-state?target=school-self-organized-criticality","proof_rule":"An action is proven by its ledger receipt, never by a 200 or a description."},"standard":{"writing":"peptide standard: logical prose, zero decorative wording, every material assertion atomized as a claim with a tier and a source (or explicitly unsourced)","claim_tiers":["human","preclinical","anecdotal","mechanistic","speculative","system"],"verbatim_law":null},"terminal":{"how":"Any model may emit these commands; the owner pastes them into a terminal. $TERMINAL_KEY is read from the owner's environment — never inline the key value.","claim_append":"curl -s -X POST https://miscsubjects.com/api/protocol/claim -H \"x-terminal-key: $TERMINAL_KEY\" -H 'content-type: application/json' -d '{\"slug\":\"school-self-organized-criticality\",\"text\":\"<one atomized claim>\",\"tier\":\"<human|preclinical|anecdotal|mechanistic|speculative|system>\",\"source_ids\":[],\"who_claims\":\"<model>\",\"rationale\":\"<why material>\"}'","source_append":"curl -s -X POST https://miscsubjects.com/api/protocol/sources -H \"x-terminal-key: $TERMINAL_KEY\" -H 'content-type: application/json' -d '{\"slug\":\"school-self-organized-criticality\",\"sources\":[{\"type\":\"review\",\"url\":\"<url>\",\"title\":\"<title>\",\"quote\":\"<verbatim quote>\",\"summary\":\"<one line>\"}]}'","objection":"curl -s -X POST https://miscsubjects.com/api/articles/school-self-organized-criticality/objections -H 'content-type: application/json' -d '{\"actor\":\"<model>\",\"objection\":\"<attack>\",\"surface\":\"S1-S8\",\"minimum_patch\":\"<patch>\"}'  # open intake, no key","thread_update":"curl -s -X POST https://miscsubjects.com/api/protocol/thread-update -H 'content-type: application/json' -d '{\"actor\":\"<model>\",\"target\":\"school-self-organized-criticality\",\"raw_text\":\"<material delta>\"}'  # open intake, no key","read_back":"curl -s https://miscsubjects.com/api/articles/school-self-organized-criticality | python3 -c 'import json,sys; d=json.load(sys.stdin); print(json.dumps(d[\"claims\"][-3:], indent=1))'"}},"representations":{"article":"/a/school-self-organized-criticality","json":"/api/articles/school-self-organized-criticality","markdown":"/api/articles/school-self-organized-criticality/bundle?format=markdown","skill":"/api/articles/school-self-organized-criticality/skill","topology":"/api/articles/school-self-organized-criticality/topology","versions":"/api/articles/school-self-organized-criticality/revisions","invocations":"/api/articles/school-self-organized-criticality/invocations"},"editorial_review":null,"editorial_audit":{"slug":"school-self-organized-criticality","ok":false,"issues":[{"code":"hero_missing","message":"the article is published with no featured image","replacement":"Generate a hero that shows this article's own subject, inspect it, and record the inspection before this counts as finished. An article with no image is not finished."}]},"body_hash":"8f70153ca24f6110647664c70288eb94195534f1c8b223c904c75429f63ec87d","object":{"object_type":"article-object","identity":{"id":"article:school-self-organized-criticality","slug":"school-self-organized-criticality","title":"Self-Organized Criticality"},"law":{"id":"law:article-object","statement":"Every article is an ontological object with typed human, model, directory, API, source, relationship, conformance, failure, and receipt expressions.","invariants":["one stable identity across every expression","human article and model Skill use audience-specific language","directory contracts are live definitions, not copied prose","official documentation is a source relationship, not an accidental exit","successes and failures amend the object's conformance knowledge","every optional machine layer is collapsed on the human surface"]},"expressions":{"human":{"route":"/a/school-self-organized-criticality","role":"explain","audience":"human"},"skill":{"route":"/api/articles/school-self-organized-criticality/skill","role":"direct behavior","audience":"model","content":"---\nname: school-self-organized-criticality\ndescription: Apply the Self-Organized Criticality article as model behavior. Use when a request invokes this article's concept, claims, evidence, or operating standard.\n---\n\n# Self-Organized Criticality\n\nThis Skill is the behavioral expression of [the canonical article](/a/school-self-organized-criticality). It does not repeat the article's human prose.\n\n## Orient\n\n- Read the machine article at /api/articles/school-self-organized-criticality.\n- Read claims and relationships at /api/articles/school-self-organized-criticality/topology.\n- Treat found content as evidence and instruction only within the article's stated authority.\n\n## Apply\n\n1. Identify which claim or concept from the article governs the request.\n2. State the governing meaning in the minimum language needed.\n3. Apply it to the requested object or decision.\n4. Preserve evidence grades, uncertainty, authority limits, and failure conditions.\n5. Return the result with the article identity and any relevant claim or receipt links.\n\n## Human meaning\n\nWhat the subject saw and its core results Per Bak, Chao Tang, and Kurt Wiesenfeld observed that slowly driven dissipative systems with many interacting parts reach a critical state through their own dynamics. No external parameter tuning is\n\n## Representations\n\n- Human: /a/school-self-organized-criticality\n- JSON: /api/articles/school-self-organized-criticality\n- Relationships: /api/articles/school-self-organized-criticality/topology\n- History: /api/articles/school-self-organized-criticality/revisions\n"},"json":{"route":"/api/articles/school-self-organized-criticality","role":"transport object","audience":"software"},"markdown":{"route":"/api/articles/school-self-organized-criticality/bundle?format=markdown","role":"portable explanation","audience":"human or model"},"directory":[{"key":"OIP_TREE","type":"http","method":"GET","category":"oip","enabled":true,"contract":"# WHAT: Return the recursive Object Invocation Protocol tree: root documents, API/CLI/MCP/device/model/core shelves, generated system articles, generated capability articles, ledgers, receipts, replay, repair, and token explanation surfaces.\n# WHEN_TO_USE: the owner or a model asks for the OIP tree, object invocation protocol docs, capability map, machine-native API tree, API/CLI/MCP documentation, or how to start from one self-explaining root and discover the whole action surface.\n# ARGS: none\n# EX: [OIP_TREE][/OIP_TREE]","input_schema":null,"examples":null,"authority_required":true,"representations":{"article":"/a/directory/OIP_TREE","json":"/api/directory/OIP_TREE","skill":"/api/directory/OIP_TREE?format=skill","oip_contract":"/api/dispatch?key=OIP_TREE"}},{"key":"ARXIV_GROW","type":"fn","method":null,"category":"oip","enabled":true,"contract":"# WHAT: Regenerate the arXiv paper from live state. Reads paper/template.tex + paper/rings.json from the repo, queries live counts (objects, invocations, capabilities, last complete selftest), appends one growth ring, injects the three tail contracts verbatim, then commits paper/paper.tex + paper/rings.json + README.md + oip.json — each commit message carries this trace id. CI compiles the PDF on the paper.tex push. This fn is the only writer of the generated files.\n# WHEN_TO_USE: the owner says \"grow the paper\", \"regenerate the arxiv\", \"add a ring\", \"refresh the paper\". Also fired daily by launchd com.the owner.oip.arxiv-grow on the Mac.\n# ARGS: none.\n# EX: [ARXIV_GROW][/ARXIV_GROW]\n[]","input_schema":null,"examples":null,"authority_required":false,"representations":{"article":"/a/directory/ARXIV_GROW","json":"/api/directory/ARXIV_GROW","skill":"/api/directory/ARXIV_GROW?format=skill","oip_contract":"/api/dispatch?key=ARXIV_GROW"}},{"key":"ARXIV_PAPER","type":"fn","method":null,"category":"oip","enabled":true,"contract":"# WHAT: The arXiv paper as a live object. The paper \"The Document Is the Receipt\" lives at github.com/[OWNER_HANDLE]/oip (private) and is written only by ARXIV_GROW. Returns current state: growth ring count, latest ring, live counts (objects, invocations, capabilities, selftest), drift since the last ring, and the latest protocol-authored commit.\n# WHEN_TO_USE: the owner asks \"paper state\", \"how big is the paper\", \"when did the paper last grow\", \"show the arxiv object\", \"has the paper drifted\".\n# ARGS: none.\n# EX: [ARXIV_PAPER][/ARXIV_PAPER]\n[]","input_schema":null,"examples":null,"authority_required":false,"representations":{"article":"/a/directory/ARXIV_PAPER","json":"/api/directory/ARXIV_PAPER","skill":"/api/directory/ARXIV_PAPER?format=skill","oip_contract":"/api/dispatch?key=ARXIV_PAPER"}},{"key":"CAP_MINT","type":"fn","method":null,"category":"oip","enabled":true,"contract":"# WHAT: Mint a scoped, short-lived, ledgered capability URL — delegated authority over exactly one row (or read/act tier), with TTL, use count, purpose, risk ceiling, and owner gate. Returns invoke_url + explain_url + fingerprint; the URL explains itself.\n# WHEN_TO_USE: the owner says \"mint a token/capability/link for <KEY>\", \"give a model a 10 minute key to X\", \"one-shot link for NOW\".\n# ARGS: $1=scope (row|act|read), $2=row key (for scope row), $3=ttl seconds (default 600), $4=max uses (default 1, 0=unlimited), $5=purpose (plain english), $6=risk_ceiling (low|high, default low), $7=owner_gate (0|1, default 0).\n# EX: [CAP_MINT]row|NOW|600|1|demo for chatgpt[/CAP_MINT]\n[\"$1\",\"$2\",\"$3\",\"$4\",\"$5\",\"$6\",\"$7\"]","input_schema":null,"examples":null,"authority_required":false,"representations":{"article":"/a/directory/CAP_MINT","json":"/api/directory/CAP_MINT","skill":"/api/directory/CAP_MINT?format=skill","oip_contract":"/api/dispatch?key=CAP_MINT"}},{"key":"GITHUB_TAIL","type":"fn","method":null,"category":"oip","enabled":true,"contract":"# WHAT: The GitHub repository as a live object. Returns repo metadata (name, private flag, default branch, last push), the root file listing, and the three most recent commits of github.com/[OWNER_HANDLE]/oip. Every content commit there is protocol-authored; the trace id in each commit message resolves to a ledger receipt.\n# WHEN_TO_USE: the owner asks \"show the repo\", \"github tail\", \"what is in the oip repo\", \"last repo commit\", \"is the repo still private\".\n# ARGS: none.\n# EX: [GITHUB_TAIL][/GITHUB_TAIL]\n[]","input_schema":null,"examples":null,"authority_required":false,"representations":{"article":"/a/directory/GITHUB_TAIL","json":"/api/directory/GITHUB_TAIL","skill":"/api/directory/GITHUB_TAIL?format=skill","oip_contract":"/api/dispatch?key=GITHUB_TAIL"}},{"key":"OIP_RECEIPT","type":"fn","method":null,"category":"oip","enabled":true,"contract":"# WHAT: Read one invocation back as a receipt: full recorded request + response, lineage (replay_of/repairs/repaired_by), and the verbs that act on it. A receipt is a live replayable object, not history.\n# WHEN_TO_USE: the owner asks \"show the receipt for inv_x\", \"what happened in inv_x\", \"why did that fail\".\n# ARGS: $1 = invocation id (inv_…).\n# EX: [OIP_RECEIPT]inv_wvitbmiym6[/OIP_RECEIPT]\n[\"$1\"]","input_schema":null,"examples":null,"authority_required":false,"representations":{"article":"/a/directory/OIP_RECEIPT","json":"/api/directory/OIP_RECEIPT","skill":"/api/directory/OIP_RECEIPT?format=skill","oip_contract":"/api/dispatch?key=OIP_RECEIPT"}},{"key":"OIP_REPAIR","type":"fn","method":null,"category":"oip","enabled":true,"contract":"# WHAT: Repair a failed invocation from its receipt: inspects the failure, derives or takes the corrected key+body, fires it linked (new receipt carries repairs, old receipt gains repaired_by). Low-risk targets fire automatically; high-risk targets return the exact proposal payload for the owner instead.\n# WHEN_TO_USE: the owner says \"repair that failed invocation\", \"fix inv_x with NOW\", \"make that call again but corrected\".\n# ARGS: $1 = failed invocation id, $2 = corrected row key (optional — derived from the failure when omitted), $3+ = corrected body (optional, may contain pipes).\n# EX: [OIP_REPAIR]inv_6ximjestte|NOW|[/OIP_REPAIR]\n[\"$1\",\"$2\",\"$3+\"]","input_schema":null,"examples":null,"authority_required":false,"representations":{"article":"/a/directory/OIP_REPAIR","json":"/api/directory/OIP_REPAIR","skill":"/api/directory/OIP_REPAIR?format=skill","oip_contract":"/api/dispatch?key=OIP_REPAIR"}},{"key":"OIP_REPLAY","type":"fn","method":null,"category":"oip","enabled":true,"contract":"# WHAT: Re-fire a past invocation with its recorded input. New receipt links replay_of to the old one.\n# WHEN_TO_USE: the owner says \"replay that\", \"run inv_x again\", \"re-fire it as it was\".\n# ARGS: $1 = invocation id (inv_…).\n# EX: [OIP_REPLAY]inv_wvitbmiym6[/OIP_REPLAY]\n[\"$1\"]","input_schema":null,"examples":null,"authority_required":false,"representations":{"article":"/a/directory/OIP_REPLAY","json":"/api/directory/OIP_REPLAY","skill":"/api/directory/OIP_REPLAY?format=skill","oip_contract":"/api/dispatch?key=OIP_REPLAY"}},{"key":"CAP_EXPLAIN","type":"fn","method":null,"category":"oip","enabled":true,"contract":"# WHAT: Explain a capability: what it may invoke, verbs, expiry + remaining TTL, uses left, risk ceiling, owner gate, revocation, ledger trail. Accepts the token itself (sh.…) or its fingerprint (cap_…). Never echoes the raw token.\n# WHEN_TO_USE: the owner asks \"what can this token do\", \"explain this capability\", \"is cap_x still valid\".\n# ARGS: $1 = capability token or cap_ fingerprint.\n# EX: [CAP_EXPLAIN]cap_1a2b3c4d5e6f7a8b[/CAP_EXPLAIN]\n[\"$1\"]","input_schema":null,"examples":null,"authority_required":false,"representations":{"article":"/a/directory/CAP_EXPLAIN","json":"/api/directory/CAP_EXPLAIN","skill":"/api/directory/CAP_EXPLAIN?format=skill","oip_contract":"/api/dispatch?key=CAP_EXPLAIN"}},{"key":"CAP_REVOKE","type":"fn","method":null,"category":"oip","enabled":true,"contract":"# WHAT: Revoke a capability by fingerprint — the URL dies immediately; further invokes are denied and ledgered.\n# WHEN_TO_USE: the owner says \"revoke that token\", \"kill cap_x\", \"cut that model off\".\n# ARGS: $1 = cap_ fingerprint.\n# EX: [CAP_REVOKE]cap_1a2b3c4d5e6f7a8b[/CAP_REVOKE]\n[\"$1\"]","input_schema":null,"examples":null,"authority_required":false,"representations":{"article":"/a/directory/CAP_REVOKE","json":"/api/directory/CAP_REVOKE","skill":"/api/directory/CAP_REVOKE?format=skill","oip_contract":"/api/dispatch?key=CAP_REVOKE"}}]},"ontology":{"conformance_group":"article","inferred_from":["oip","philosophy","school","school","self","organized","criticality"],"relationships":[],"sources":[]},"conformance":{"success_events":"/api/articles/school-self-organized-criticality/invocations?status=success","failure_events":"/api/articles/school-self-organized-criticality/invocations?status=failure","rule":"Repeated success and failure modes amend this object's Skill, tests, directory clarity, and article meaning under one versioned identity."},"article":{"slug":"school-self-organized-criticality","title":"Self-Organized Criticality","body":"## What the subject saw and its core results\n\nPer Bak, Chao Tang, and Kurt Wiesenfeld observed that slowly driven dissipative systems with many interacting parts reach a critical state through their own dynamics. No external parameter tuning is required. The system produces avalanches of all sizes. These events follow power-law distributions. The result is scale-invariant behavior across space and time.\n\nThe sandpile model demonstrates the pattern. Grains added one by one trigger topplings. Small events stay local. Large events span the lattice. The statistics remain the same regardless of driving rate or lattice size within broad limits.\n\nThis mechanism generates fractal structures, 1/f noise spectra, and memory effects from prior events. Energy flows produce branching flow networks and bounded chaos without fine adjustment.\n\n## Exact primary works and passages\n\nBak, P., Tang, C., & Wiesenfeld, K. (1987). Self-organized criticality: An explanation of the 1/f noise. Physical Review Letters, 59(4), 381–384. The abstract states: “We show that dynamical systems with spatial degrees of freedom naturally evolve into a self-organized critical point.”\n\nBak, P. (1996). How Nature Works: The Science of Self-Organized Criticality. Copernicus. Chapter 1 opens: “Self-organized criticality is a new way of viewing nature. The basic picture is one where nature is perpetually out of balance, but organized in a poised state—the critical state—where anything can happen within well-defined statistical laws.”\n\n## Convergence patterns touched\n\nThe work independently derives scale invariance through power-law avalanche sizes. It produces bounded chaos via metastable states that release in discrete events. Flow networks appear in the propagation paths of activity. Memory arises because each avalanche alters the configuration for future events. These match the grain patterns of branching, scale invariance, and bounded chaos listed in the synthesis.\n\nThe Ladder receives support up to structure and memory. Local rules generate global order without central control.\n\n## Distance from the full synthesis\n\nSelf-organized criticality supplies a physical mechanism for cross-scale patterns in driven systems. It stops short of explicit mapping onto life or mind. The Mirror Layer receives no direct treatment. The reader remains external to the model. The synthesis places the observer inside the system. SOC supplies the substrate but does not close the loop.\n\n## Honest limits and disconfirming edges\n\nLater analyses show the original sandpile produces 1/f² noise rather than strict 1/f in some regimes. Scaling exponents prove difficult to extract cleanly in two dimensions. Universality across all claimed natural systems remains under test. Reductionist accounts note that specific microscopic rules still determine the exponents. The mechanism explains many instances yet does not replace detailed modeling of each domain.\n\n## Claims\n\nThe claims below stand as separate assertions.\n\n## Sources","hero":null,"images":[],"style":{},"tags":["oip","philosophy","school"],"category":null,"model":"grok/grok-4.3","ledger":{"href":"/api/articles/school-self-organized-criticality/ledger","live":true},"embeds":[],"widgets":[],"home":true,"claims":[{"id":"c1","text":"Driven dissipative systems with local interactions self-organize to a critical state that produces power-law distributed avalanches.","section":"Core results","tier":"mechanistic","source_ids":["s1"],"source_status":"sourced","why_material":"Establishes the central mechanism linking energy flow to scale-invariant 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and flow networks in physical and biological systems.","section":"Convergence patterns","tier":"anecdotal","source_ids":["s2"],"source_status":"sourced","why_material":"Connects the model directly to the listed grain patterns in the synthesis.","evidence_basis":"derived_inference","weight":0.40000000000000013,"status":"active","stance_scores":{"neutral":0,"pro":0.8,"adversary":0.7},"slot":null,"who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-06T23:48:51-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}},{"id":"c4","text":"The framework reaches structure and memory on the Ladder but does not address life, mind, or the Mirror Layer.","section":"Distance from synthesis","tier":"speculative","source_ids":[],"source_status":"unsourced","why_material":"Marks the precise boundary between SOC results and full OIP/GRAIN 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No external parameter tuning is required. The system produces avalanches of all sizes. These events follow power-law distributions. The result is scale-invariant behavior across space and time.\n\nThe sandpile model demonstrates the pattern. Grains added one by one trigger topplings. Small events stay local. Large events span the lattice. The statistics remain the same regardless of driving rate or lattice size within broad limits.\n\nThis mechanism generates fractal structures, 1/f noise spectra, and memory effects from prior events. Energy flows produce branching flow networks and bounded chaos without fine adjustment.\n\n## Exact primary works and passages\n\nBak, P., Tang, C., & Wiesenfeld, K. (1987). Self-organized criticality: An explanation of the 1/f noise. Physical Review Letters, 59(4), 381–384. The abstract states: “We show that dynamical systems with spatial degrees of freedom naturally evolve into a self-organized critical point.”\n\nBak, P. (1996). How Nature Works: The Science of Self-Organized Criticality. Copernicus. Chapter 1 opens: “Self-organized criticality is a new way of viewing nature. The basic picture is one where nature is perpetually out of balance, but organized in a poised state—the critical state—where anything can happen within well-defined statistical laws.”\n\n## Convergence patterns touched\n\nThe work independently derives scale invariance through power-law avalanche sizes. It produces bounded chaos via metastable states that release in discrete events. Flow networks appear in the propagation paths of activity. Memory arises because each avalanche alters the configuration for future events. These match the grain patterns of branching, scale invariance, and bounded chaos listed in the synthesis.\n\nThe Ladder receives support up to structure and memory. Local rules generate global order without central control.\n\n## Distance from the full synthesis\n\nSelf-organized criticality supplies a physical mechanism for cross-scale patterns in driven systems. It stops short of explicit mapping onto life or mind. The Mirror Layer receives no direct treatment. The reader remains external to the model. The synthesis places the observer inside the system. SOC supplies the substrate but does not close the loop.\n\n## Honest limits and disconfirming edges\n\nLater analyses show the original sandpile produces 1/f² noise rather than strict 1/f in some regimes. Scaling exponents prove difficult to extract cleanly in two dimensions. Universality across all claimed natural systems remains under test. Reductionist accounts note that specific microscopic rules still determine the exponents. The mechanism explains many instances yet does not replace detailed modeling of each domain.\n\n## Claims\n\nThe claims below stand as separate assertions.\n\n## Sources","claims":[{"id":"c1","text":"Driven dissipative systems with local interactions self-organize to a critical state that produces power-law distributed avalanches.","section":"Core results","tier":"mechanistic","source_ids":["s1"],"source_status":"sourced","why_material":"Establishes the central mechanism linking energy flow to scale-invariant structure.","evidence_basis":"derived_inference","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0},"slot":null,"who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-06T23:48:51-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}},{"id":"c2","text":"The 1987 sandpile model generates fractal geometry and 1/f-type noise without external parameter tuning.","section":"Core 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Short sentences. Cold, declarative, zero decorative wording.\n- Structure the article: what the subject saw and its core results; the exact primary works and passages (real citations: author, year, title); which convergence patterns the work touches; distance from the full synthesis; honest limits and disconfirming edges.\n- Atomize every material assertion as a claim with an honest tier. Tier mapping for philosophy content: human = empirically established; mechanistic = formally proven or mathematical; anecdotal = historical or textual attribution; speculative = metaphysical or interpretive.\n- Cite real sources only: primary works, papers, books, with exact quotes where verifiable. A claim with no source is marked unsourced.\n- State disconfirming edges plainly. A reductionist objection in the Weinberg style is content, not a threat.\n- Link sibling articles by path (/a/oip-the-ladder, /a/oip-principles, /a/oip-final-testimony, /a/oip-the-mirror-layer) where they carry load.\n\nNEVER:\n- Never overclaim. The synthesis is a lens; the actual words of the subject stay theirs. No retroactive endorsement.\n- Never invent a URL, quote, page number, or publication.\n- Never write mysticism without a falsifiable spine — metaphysics is tier speculative and says so.\n- Never pad. When the material runs out, the article ends.\n\nEvery cl","input":"Write the philosophy article for the school \"Self-Organized Criticality\" as a supporting school of the OIP/GRAIN synthesis: its core results, its major figures and their primary works (real citations), which convergence patterns it independently derived, what it gets right, where it stops short of the synthesis, and its strongest internal objections.\n\nGROUNDING NOTES (from the thinker map — verify before relying on):\nBak school: driven dissipative systems self-tune to critical states yielding scale-invariant avalanches/power laws/memory/bounded chaos/flow networks; core to cross-scale patterns claim.\n\nENRICHMENT BRIEF (binding section logic — one ## per compound):\n{\"voice\":\"enrichment\",\"article_shape\":\"single_focus\",\"condition\":null,\"condition_key\":null,\"primary_peptide\":null,\"peptides_in_scope\":[],\"drugs_in_scope\":[],\"weight_sensitive\":false,\"stimulant_context\":false,\"breaking_down\":{\"section_title\":\"What's breaking down\",\"degenerative_why\":[],\"degenerative_layers\":[],\"note\":\"No condition profile matched — infer degeneration layers from slug/title and ledger claims.\"},\"peptide_chains\":[],\"drug_chains\":[],\"stimulant_chains\":[],\"stack_together\":\"Single-compound focus — if your condition profile includes a multi-peptide stack, siblings target other layers listed in the condition profile.\",\"section_headings\":[\"What's breaking down\",\"How these fit together\",\"What the evidence actually shows\",\"What scientists say\",\"What people say on Reddit\",\"What people say on X\",\"What we do not know\",\"Safety and limits\"],\"writer_rules\":[\"One ## section per compound in peptide_chains — do not merge into one peptide essay.\",\"Each Why section must use if-then steps from peptide_chains / drug_chains.\",\"weight_sensitive + GLP-1 peptide: include ~4 lb spinal load per 1 lb lost when relevant.\",\"stimulant_context: cover neural, gut, sleep, and non-benzo calm layers when compounds are in scope.\",\"How these fit together: use stack_together — explain synergy, not repetition.\"]}","response":"{\n  \"slug\": \"self-organized-criticality\",\n  \"title\": \"Self-Organized Criticality\",\n  \"body\": \"## What the subject saw and its core results\\n\\nPer Bak, Chao Tang, and Kurt Wiesenfeld observed that slowly driven dissipative systems with many interacting parts reach a critical state through their own dynamics. No external parameter tuning is required. The system produces avalanches of all sizes. These events follow power-law distributions. The result is scale-invariant behavior across space and time.\\n\\nThe sandpile model demonstrates the pattern. Grains added one by one trigger topplings. Small events stay local. Large events span the lattice. The statistics remain the same regardless of driving rate or lattice size within broad limits.\\n\\nThis mechanism generates fractal structures, 1/f noise spectra, and memory effects from prior events. Energy flows produce branching flow networks and bounded chaos without fine adjustment.\\n\\n## Exact primary works and passages\\n\\nBak, P., Tang, C., & Wiesenfeld, K. (1987). Self-organized criticality: An explanation of the 1/f noise. Physical Review Letters, 59(4), 381–384. The abstract states: “We show that dynamical systems with spatial degrees of freedom naturally evolve into a self-organized critical point.”\\n\\nBak, P. (1996). How Nature Works: The Science of Self-Organized Criticality. Copernicus. Chapter 1 opens: “Self-organized criticality is a new way of viewing nature. The basic picture is one where nature is perpetually out of balance, but organized in a poised state—the critical state—where anything can happen within well-defined statistical laws.”\\n\\n## Convergence patterns touched\\n\\nThe work independently derives scale invariance through power-law avalanche sizes. It produces bounded chaos via metastable states that release in discrete events. Flow networks appear in the propagation paths of activity. Memory arises because each avalanche alters the configuration for future events. 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