{"_self":{"principle":"Self-explaining payload — no external context required. This _self block describes what you are reading and where to look next.","widget":"article_bundle","feature":"bundle","name":"LLM article bundle","what":"Paste-ready package: body + claims + sources + voxels + provenance + manifest + constitution.","contains":"body, claims, sources, voxels, provenance, question graph, constitution, llm_manifest","slug":"oip-node-c11-networks-small-world-scale-free","urls":{"read":"https://miscsubjects.com/api/articles/oip-node-c11-networks-small-world-scale-free/bundle?format=markdown"},"how_to_use":"Paste into any LLM. Read §SELF first. Write back via ingest or claim endpoints in llm_manifest.","write":null,"imessage":null,"router_tag":null,"proof_chain":[{"step":1,"claim":"Articles are voxel graphs of tiered claims, not prose blobs.","verify":"https://miscsubjects.com/api/articles/constitution"},{"step":2,"claim":"Claims link to hash-chained sources via source_ids.","verify":"https://miscsubjects.com/api/articles/oip-node-c11-networks-small-world-scale-free/sources"},{"step":3,"claim":"Ask reads topology; ingest/claim append to ledger.","verify":"https://miscsubjects.com/api/protocol"},{"step":4,"claim":"Models queue growth: populate → collaborate → repair → reflex.","verify":"https://miscsubjects.com/api/protocol/grow"},{"step":5,"claim":"Graph proves its own shape (reflex) and $/claim (yield).","verify":"https://miscsubjects.com/graph.html?layer=reflex"},{"step":6,"claim":"Full feature index + _explain on every API response.","verify":"https://miscsubjects.com/api/articles/system-map"}],"related_features":[{"id":"topology","name":"Article topology","what":"Claims, sources, anecdotes, user reports, related embeds, question graph slice — for ask/ROUTER.","urls":{"read":"https://miscsubjects.com/api/articles/oip-node-c11-networks-small-world-scale-free/topology"}},{"id":"voxels","name":"Voxel graph","what":"Claims as atoms, sources as edges (supported_by, posted_by). 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Read §SELF first. Write back via ingest or claim endpoints in llm_manifest.","model":null,"verifies":null,"urls":{"read":"https://miscsubjects.com/api/articles/oip-node-c11-networks-small-world-scale-free/bundle?format=markdown"},"imessage":null,"router":null,"related":[{"id":"topology","what":"Claims, sources, anecdotes, user reports, related embeds, question graph slice — for ask/ROUTER."},{"id":"voxels","what":"Claims as atoms, sources as edges (supported_by, posted_by). Per-claim provenance."},{"id":"ask","what":"Answer only from topology; creates question_node with gaps and ingest_hint."},{"id":"ingest","what":"Parse pasted evidence → source ledger + claims + evidence_ingest node."},{"id":"claim_post","what":"Prompt-injection style POST — one claim voxel with who_claims + posted_by."},{"id":"llm_manifest","what":"Machine-readable read/write contract for external LLMs."}],"not_medical_advice":true},"bundle_version":1,"generated_at":"2026-07-04T06:24:39.248Z","slug":"oip-node-c11-networks-small-world-scale-free","title":"Node C11: Networks / Small-World / Scale-Free","url":"https://miscsubjects.com/a/oip-node-c11-networks-small-world-scale-free","register":"oip_protocol","tags":["philosophy","oip","convergence-catalogue","node","systems-theory"],"posted_at":"2026-07-04T02:47:50.643Z","updated_at":"2026-07-04T05:02:00.118Z","body":"# Node C11: Networks / Small-World / Scale-Free\n\nC11 — Networks / Small-World / Scale-Free\n{\n  \"id\": \"C11\",\n  \"claim\": \"Connectivity in natural and social systems converges on a small set of topologies: small-world (high clustering + short path length) and scale-free (power-law degree distribution, a few hubs, many spokes).\",\n  \"domain\": [\"neuroscience\", \"computer science\", \"ecology\", \"sociology\", \"molecular biology\", \"economics\"],\n  \"pattern\": [\"small_world\", \"scale_free\", \"preferential_attachment\", \"hubs\", \"clustering\"],\n  \"mechanism\": \"Small-world: start with a regular lattice and rewire a fraction p of edges randomly; at intermediate p, clustering remains high while average path length drops logarithmically. Scale-free: growth + preferential attachment ('rich get richer') produces power-law degree distribution P(k) ~ k^(-γ). Granovetter: weak ties bridge otherwise disconnected clusters.\",\n  \"scale\": \"molecular → civilization\",\n  \"claim_tier\": \"T1\",\n  \"sources\": [\n    \"Euler, L. (1736). 'Solutio problematis ad geometriam situs pertinentis.' Commentarii academiae scientiarum Petropolitanae, 8, 128-140.\",\n    \"Watts, D.J. & Strogatz, S.H. (1998). 'Collective Dynamics of Small-World Networks.' Nature, 393, 440-442.\",\n    \"Barabasi, A.L. & Albert, R. (1999). 'Emergence of Scaling in Random Networks.' Science, 286, 509-512.\",\n    \"Granovetter, M.S. (1973). 'The Strength of Weak Ties.' Am. J. Soc., 78(6), 1360-1380.\"\n  ],\n  \"dual\": \"Regular lattice (all local, no global reach) vs. random graph (no local structure, efficient paths but no clusters).\",\n  \"falsifier\": \"Large adaptive networks (neural, social, metabolic, technological) that are demonstrably neither small-world nor scale-free — e.g., regular grids with no shortcuts, or homogeneous degree distributions in mature systems.\",\n  \"rival_frame\": \"Network properties are statistical artifacts of growth processes, not convergent solutions to optimization problems. 'Scale-free' claims have been overstated — many real networks follow log-normal or exponential distributions; power-law fitting is often methodologically sloppy. Small-world structure is trivially expected in any spatially embedded growing network.\",\n  \"independence_check\": \"HIGH. Euler (mathematics, Konigsberg, 1736) invented graph theory from a puzzle. Granovetter (sociology, Harvard, 1973) studied job-seeking networks. Watts-Strogatz (applied math, Cornell, 1998) modeled network clustering. Barabasi (physics, Notre Dame, 1999) derived preferential attachment. Four fields, four centuries, four questions, convergent finding: networks with efficient information flow look alike.\",\n  \"pattern_type\": \"structural\",\n  \"maps_to_axiom\": [\"A3\", \"A7\"]\n}\n\n---\n\n## Corpus map\n- Same node, other planes: [Encyclopedia C11](/a/convergence-encyclopedia-c11) · [Inventory invariant](/a/oip-invariant-16-316-networks-small-world-scale-free)\n- Edges touching C11: [convergence edge 8](/a/oip-convergence-edge-8) · [convergence edge 9](/a/oip-convergence-edge-9)\n- Catalogue hub: [Public Article](/a/oip-convergence-public-article) · [Schema](/a/oip-convergence-schema)","claims":[],"sources":[],"voxels":{"slug":"oip-node-c11-networks-small-world-scale-free","counts":{"voxels":0,"sources":0,"edges":0},"note":"slim bundle — full voxels at /api/articles/oip-node-c11-networks-small-world-scale-free/voxels"},"constitution":{"url":"https://miscsubjects.com/api/articles/constitution"},"provenance":[{"action":"edit","model":"claude-fable-5","ts":"2026-07-04T04:34:02.875Z","hash":"038c51400d0f216c","tokens_in":0,"tokens_out":0},{"action":"edit","model":"claude-fable-5","ts":"2026-07-04T05:02:00.118Z","hash":"7870c6e46edf97b7","tokens_in":0,"tokens_out":0}],"contributions":[],"topology":null,"slim":true,"ledger_totals":{"claims":0,"sources":0,"exported_claims":0,"exported_sources":0},"question_graph":{"slug":"oip-node-c11-networks-small-world-scale-free","questions":[],"evidence":[],"edges":[],"counts":{"questions":0,"evidence":0,"edges":0}},"verification":{"provenance":{"valid":true,"entries":2,"head":"7870c6e46edf97b7ce617988945e7d467f80ac2da40126a279df3e2976fb468b"},"sources":{"valid":true,"entries":0,"head":"genesis"}},"counts":{"claims":0,"sources":0,"provenance":2,"contributions":0,"questions":0,"evidence_ingests":0,"voxel_edges":0},"llm_manifest":{"version":"1","site":"https://miscsubjects.com","purpose":"Peptide evidence articles with hash-chained source ledgers, tiered claims, and a question graph. 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Every assertion is a claim atom with tier, weight, source_ids, and posted_by provenance.","slots":[{"id":"what_it_is","required":true,"answers":"What is this peptide/stack/condition?"},{"id":"who_claims_what","required":true,"answers":"Who claims what — study authors, platforms, n=?"},{"id":"what_is_known","required":true,"answers":"What is known with tier labels (human/preclinical/anecdotal)"},{"id":"what_is_unknown","required":true,"answers":"What is NOT known — explicit gaps"},{"id":"mechanism","required":false,"answers":"Proposed mechanism (mechanistic tier only)"},{"id":"limitations","required":true,"answers":"Limits of evidence — no dose advice"},{"id":"disclaimer","required":true,"answers":"Not medical advice"}],"claim_rules":["One claim = one falsifiable assertion. No compound claims.","Every claim must declare tier: human|preclinical|anecdotal|mechanistic|speculative|system.","system tier = architecture/design axioms (not biological mechanism). Use for protocol self-definition.","Sourced claims must cite source_ids from the hash-chained ledger.","Unsourced claims must set source_status: unsourced and why_material.","posted_by is mandatory on every new claim (model id, human, or channel).","No medical advice, no doses, no 'you should take'.","Bad information is retracted (status:retracted), never deleted — retraction event stays on ledger.","Adversary challenges link via challenges[] / challenged_by[] — target may be downweighted.","Leaked secrets are scrubbed to [REDACTED:secret-leak] with scrub_events tombstone — honest audit trail."],"source_rules":["Every source is a voxel edge: type, url, exact quote, summary, found_by, accessed_at.","Sources hash-chain — prev/hash on append.","Anecdotal sources must name platform (reddit|x|youtube|imessage|user_entry)."],"ontology_rules":["Peptide articles (bpc-157, tb-500) are tree roots.","Condition articles (bpc-157-glp1-gut-damage) branch from peptides.","Stack articles (wolverine-stack-glp1) compose peptides — never duplicate peptide mechanism prose.","If an article has no parent embeds and is not a root peptide → sprawl candidate.","Misstep = duplicate scope with another slug; merge or reparent via embeds."],"post_protocol":{"claim":"POST /api/protocol/claim","source":"POST /api/protocol/sources","ingest":"POST /api/protocol/ingest","webhook":"POST /api/articles/<slug>/webhook {kind:claim|source}","imessage_claim":"claim {slug}|{tier}|your assertion — who claims it, source?","imessage_ingest":"ingest {slug}|evidence paste"}},"this_article":{"slug":"oip-node-c11-networks-small-world-scale-free","url":"https://miscsubjects.com/a/oip-node-c11-networks-small-world-scale-free","bundle_url":"https://miscsubjects.com/api/articles/oip-node-c11-networks-small-world-scale-free/bundle?format=markdown"}},"api_urls":{"bundle":"https://miscsubjects.com/api/articles/oip-node-c11-networks-small-world-scale-free/bundle","bundle_markdown":"https://miscsubjects.com/api/articles/oip-node-c11-networks-small-world-scale-free/bundle?format=markdown","topology":"https://miscsubjects.com/api/articles/oip-node-c11-networks-small-world-scale-free/topology","voxels":"https://miscsubjects.com/api/articles/oip-node-c11-networks-small-world-scale-free/voxels","constitution":"https://miscsubjects.com/api/articles/constitution","ontology":"https://miscsubjects.com/api/articles/ontology","question_graph":"https://miscsubjects.com/api/articles/oip-node-c11-networks-small-world-scale-free/question-graph","ask":"https://miscsubjects.com/api/protocol/ask","ingest":"https://miscsubjects.com/api/protocol/ingest","claim":"https://miscsubjects.com/api/protocol/claim","system_map":"https://miscsubjects.com/api/articles/system-map","system_map_markdown":"https://miscsubjects.com/api/articles/system-map?format=markdown"}}