{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:PB54B4ZHUM3O7AYJHJPJMSJYTC","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":"64916c2a0f1570cdb5ca8f1ebb84be80b7f8261eca91f0fcdf87bd386b6d8fd6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SP","submitted_at":"2026-02-04T15:11:49Z","title_canon_sha256":"164af58a0a277025c18c30d20bd9d2a3840618dece03d1fd1c751429265edd33"},"schema_version":"1.0","source":{"id":"2602.04644","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.04644","created_at":"2026-07-27T00:19:46Z"},{"alias_kind":"arxiv_version","alias_value":"2602.04644v2","created_at":"2026-07-27T00:19:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.04644","created_at":"2026-07-27T00:19:46Z"},{"alias_kind":"pith_short_12","alias_value":"PB54B4ZHUM3O","created_at":"2026-07-27T00:19:46Z"},{"alias_kind":"pith_short_16","alias_value":"PB54B4ZHUM3O7AYJ","created_at":"2026-07-27T00:19:46Z"},{"alias_kind":"pith_short_8","alias_value":"PB54B4ZH","created_at":"2026-07-27T00:19:46Z"}],"graph_snapshots":[{"event_id":"sha256:480c9efaf47ab71fb3735acfca88643aa34e608e6d51e8c9bc7c9faee06fb893","target":"graph","created_at":"2026-07-27T00:19:46Z","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/2602.04644/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We establish the equivalence between a classical moment closure and a nonlinear variational approximation of the Fokker-Planck equation for dilute polymeric flow in the linearized Hookean spring chain setting. The variational formulation is based on the Dirac-Frankel principle applied to a Gaussian approximation manifold endowed with the Fisher-Rao information metric. We show that the invariance of this manifold under the linear configurational dynamics yields an exact evolution for the macroscopic conformation tensor, recovering the classical diffusive Oldroyd-B closure. While the equivalence","authors_text":"Barbara Wohlmuth, Caroline Lasser, Stephan B. Lunowa","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SP","submitted_at":"2026-02-04T15:11:49Z","title":"An equivalence of moment closure and nonlinear variational approximation of the Fokker-Planck equation for dilute polymeric flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.04644","kind":"arxiv","version":2},"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":"sha256:1a30a35b4f0480b5863b7eb68f5a7233a78de97ff66403ddecba8b2d757f655a","target":"record","created_at":"2026-07-27T00:19:46Z","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":"64916c2a0f1570cdb5ca8f1ebb84be80b7f8261eca91f0fcdf87bd386b6d8fd6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SP","submitted_at":"2026-02-04T15:11:49Z","title_canon_sha256":"164af58a0a277025c18c30d20bd9d2a3840618dece03d1fd1c751429265edd33"},"schema_version":"1.0","source":{"id":"2602.04644","kind":"arxiv","version":2}},"canonical_sha256":"787bc0f327a336ef83093a5e96493898bfde6ea47a830bb09daa680aca891d73","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"787bc0f327a336ef83093a5e96493898bfde6ea47a830bb09daa680aca891d73","first_computed_at":"2026-07-27T00:19:46.757990Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-27T00:19:46.757990Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2ySFF65r/UucfafuBnt2mMUq2hpYf6/fV5pjhG7jB7FsXXNYd4CBdh1FBs7C3/FlUPN4AU7CAmpVnM6I6RdCCQ==","signature_status":"signed_v1","signed_at":"2026-07-27T00:19:46.758899Z","signed_message":"canonical_sha256_bytes"},"source_id":"2602.04644","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a30a35b4f0480b5863b7eb68f5a7233a78de97ff66403ddecba8b2d757f655a","sha256:480c9efaf47ab71fb3735acfca88643aa34e608e6d51e8c9bc7c9faee06fb893"],"state_sha256":"88ce28052033def38f5e54b7a6a239960334cd9f1324a980e52b1b8650873fe5"}