{"slug":"paper-noether-e-1918-invariante-variationsprobleme","verification":{"valid":true,"entries":2,"head":"1e215f3a1c6a7a7da1ef1465757b8eb09469635f1d85b184e42edcaeb27372f1"},"count":2,"sources":[{"id":"s1","type":"other","url":"http://gdz.sub.uni-goettingen.de","title":"Invariante Variationsprobleme (original)","quote":"Theorems formulated on pages 235–257.","summary":"German original establishing the two theorems.","claim_ids":["c1","c2","c4","c5"],"found_by":"grok/grok-4.3","extra":{},"accessed_at":"2026-07-10T06:59:47.608Z","link_status":"ok","quote_status":"unverified","prev":"genesis","hash":"88a50155117b6c77254a2121463e740d775e60796877149c9891b5c4e2c60ef7"},{"id":"s2","type":"other","url":"https://arxiv.org/abs/physics/0503066","title":"Invariant Variation Problems (Tavel translation)","quote":"If the integral I is invariant under a [group] G_ρ, then there are ρ linearly independent combinations among the Lagrangian expressions which become divergences.","summary":"English translation with exact theorem statements.","claim_ids":["c1","c2","c3"],"found_by":"grok/grok-4.3","extra":{},"accessed_at":"2026-07-10T06:59:47.608Z","link_status":"ok","quote_status":"unverified","prev":"88a50155117b6c77254a2121463e740d775e60796877149c9891b5c4e2c60ef7","hash":"1e215f3a1c6a7a7da1ef1465757b8eb09469635f1d85b184e42edcaeb27372f1"}]}