{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:FPX5QNLAVTPKBCMHQJVEFEEWQD","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"912846f9b764d914d50a299b2c8f6cd0509a9cd8f19cb3075886f6acec35fa2c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-12T21:05:55Z","title_canon_sha256":"1bcbe8e8a1c66a1a36e9084e81063212230e78b8db0830b7c1c57316ee7607a7"},"schema_version":"1.0","source":{"id":"2607.10923","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.10923","created_at":"2026-07-14T01:21:47Z"},{"alias_kind":"arxiv_version","alias_value":"2607.10923v1","created_at":"2026-07-14T01:21:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.10923","created_at":"2026-07-14T01:21:47Z"},{"alias_kind":"pith_short_12","alias_value":"FPX5QNLAVTPK","created_at":"2026-07-14T01:21:47Z"},{"alias_kind":"pith_short_16","alias_value":"FPX5QNLAVTPKBCMH","created_at":"2026-07-14T01:21:47Z"},{"alias_kind":"pith_short_8","alias_value":"FPX5QNLA","created_at":"2026-07-14T01:21:47Z"}],"graph_snapshots":[{"event_id":"sha256:05e469f3cd6ac1b7cdfa7dacaab364a2d9017034e07d4515a89bf270e2403a9d","target":"graph","created_at":"2026-07-14T01:21:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.10923/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Large language models exhibit remarkable emergent behaviors, yet the physical mechanism governing their collective dynamics remains poorly understood. Cognitive Field Theory predicts that learning reorganizes the time-scale density of states (TDOS) through the infrared accumulation of slow relaxation modes, thereby enhancing the memory self-energy, reducing the cognitive forgetting gap, and strengthening the collective susceptibility. Using publicly available Pythia language models, we extract relaxation spectra directly from Transformer layer Jacobians throughout training, network depth, and ","authors_text":"Byung Gyu Chae","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-12T21:05:55Z","title":"Infrared Organization and Critical Cognitive Field Formation in Transformer Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.10923","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:3b6e1fab89c750a4a623871ef3b1df0469a90e43e6e6b72ed1a1e00ad5113ea8","target":"record","created_at":"2026-07-14T01:21:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"912846f9b764d914d50a299b2c8f6cd0509a9cd8f19cb3075886f6acec35fa2c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-12T21:05:55Z","title_canon_sha256":"1bcbe8e8a1c66a1a36e9084e81063212230e78b8db0830b7c1c57316ee7607a7"},"schema_version":"1.0","source":{"id":"2607.10923","kind":"arxiv","version":1}},"canonical_sha256":"2befd83560acdea08987826a42909680c1e5aeac0ea9667151610925aed3c940","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2befd83560acdea08987826a42909680c1e5aeac0ea9667151610925aed3c940","first_computed_at":"2026-07-14T01:21:47.903617Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-14T01:21:47.903617Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7SPrjk8cdg8X95ifKN+6Mq2I1lS0hR9m+UFDnmDAm24zvZ6aDm+hTtRTKRREODeGeLCiq1Vorn/Eji+RN2qOBA==","signature_status":"signed_v1","signed_at":"2026-07-14T01:21:47.904505Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.10923","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b6e1fab89c750a4a623871ef3b1df0469a90e43e6e6b72ed1a1e00ad5113ea8","sha256:05e469f3cd6ac1b7cdfa7dacaab364a2d9017034e07d4515a89bf270e2403a9d"],"state_sha256":"68376254463abf73d19106684ce9da7a1696d06e071402646a198a7261b90986"}