{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:UKOZVUKJKJO3GCUUEZQH3NLYMK","short_pith_number":"pith:UKOZVUKJ","schema_version":"1.0","canonical_sha256":"a29d9ad149525db30a9426607db57862bb74e0a197e8894894bcf4e714346bd2","source":{"kind":"arxiv","id":"2607.02154","version":1},"attestation_state":"computed","paper":{"title":"Path-Measure Dynamics of Attention-Driven World Models: A Nonlocal Onsager--Machlup Approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Gunn Kim","submitted_at":"2026-07-02T13:30:27Z","abstract_excerpt":"Attention enables a world model to condition on its entire history, providing long-term memory that facilitates long-range predictions. While the local Onsager--Machlup theory in our companion paper assumes a temporally local predictive action, we investigate the conditions under which this locality holds. We derive the predictive path measure for latent dynamics that become non-Markovian due to attention-induced memory, demonstrating that this measure is the projection of a hidden linear Markov augmentation. Eliminating the auxiliary field results in a nonlocal Onsager--Machlup action, where "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2607.02154","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-07-02T13:30:27Z","cross_cats_sorted":[],"title_canon_sha256":"3be012acc35741172e9443a24b2127776f9e5c9fd810e2766feae97ca3dcf74f","abstract_canon_sha256":"60f01debe6156ecd8a947fdf4d0091b00cd46f16ce690b44a13d331dab2e9f85"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-03T01:17:43.547204Z","signature_b64":"y6iW741NmMr4vUAWE76kvpf7lc3U8MdoOzbY83GAdBRSFaz9eCazmAlalUY6cFc7fnpFVCSg52Fl/Ago2wStBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a29d9ad149525db30a9426607db57862bb74e0a197e8894894bcf4e714346bd2","last_reissued_at":"2026-07-03T01:17:43.546824Z","signature_status":"signed_v1","first_computed_at":"2026-07-03T01:17:43.546824Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Path-Measure Dynamics of Attention-Driven World Models: A Nonlocal Onsager--Machlup Approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Gunn Kim","submitted_at":"2026-07-02T13:30:27Z","abstract_excerpt":"Attention enables a world model to condition on its entire history, providing long-term memory that facilitates long-range predictions. While the local Onsager--Machlup theory in our companion paper assumes a temporally local predictive action, we investigate the conditions under which this locality holds. We derive the predictive path measure for latent dynamics that become non-Markovian due to attention-induced memory, demonstrating that this measure is the projection of a hidden linear Markov augmentation. Eliminating the auxiliary field results in a nonlocal Onsager--Machlup action, where "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.02154","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.02154/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2607.02154","created_at":"2026-07-03T01:17:43.546891+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.02154v1","created_at":"2026-07-03T01:17:43.546891+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.02154","created_at":"2026-07-03T01:17:43.546891+00:00"},{"alias_kind":"pith_short_12","alias_value":"UKOZVUKJKJO3","created_at":"2026-07-03T01:17:43.546891+00:00"},{"alias_kind":"pith_short_16","alias_value":"UKOZVUKJKJO3GCUU","created_at":"2026-07-03T01:17:43.546891+00:00"},{"alias_kind":"pith_short_8","alias_value":"UKOZVUKJ","created_at":"2026-07-03T01:17:43.546891+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UKOZVUKJKJO3GCUUEZQH3NLYMK","json":"https://pith.science/pith/UKOZVUKJKJO3GCUUEZQH3NLYMK.json","graph_json":"https://pith.science/api/pith-number/UKOZVUKJKJO3GCUUEZQH3NLYMK/graph.json","events_json":"https://pith.science/api/pith-number/UKOZVUKJKJO3GCUUEZQH3NLYMK/events.json","paper":"https://pith.science/paper/UKOZVUKJ"},"agent_actions":{"view_html":"https://pith.science/pith/UKOZVUKJKJO3GCUUEZQH3NLYMK","download_json":"https://pith.science/pith/UKOZVUKJKJO3GCUUEZQH3NLYMK.json","view_paper":"https://pith.science/paper/UKOZVUKJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.02154&json=true","fetch_graph":"https://pith.science/api/pith-number/UKOZVUKJKJO3GCUUEZQH3NLYMK/graph.json","fetch_events":"https://pith.science/api/pith-number/UKOZVUKJKJO3GCUUEZQH3NLYMK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UKOZVUKJKJO3GCUUEZQH3NLYMK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UKOZVUKJKJO3GCUUEZQH3NLYMK/action/storage_attestation","attest_author":"https://pith.science/pith/UKOZVUKJKJO3GCUUEZQH3NLYMK/action/author_attestation","sign_citation":"https://pith.science/pith/UKOZVUKJKJO3GCUUEZQH3NLYMK/action/citation_signature","submit_replication":"https://pith.science/pith/UKOZVUKJKJO3GCUUEZQH3NLYMK/action/replication_record"}},"created_at":"2026-07-03T01:17:43.546891+00:00","updated_at":"2026-07-03T01:17:43.546891+00:00"}