{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:WX6MN52LP5APALWO5IU7RFFMQC","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":"cc1f890fddab65f4d7817adb871676fc18eff64341c5b2d8697b6ee5981b3c23","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2025-12-22T08:45:42Z","title_canon_sha256":"b50a31169fd58ab491407308a3f653b017b201d26656947f1c2f277c7b4fd50b"},"schema_version":"1.0","source":{"id":"2512.19149","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.19149","created_at":"2026-07-20T00:18:16Z"},{"alias_kind":"arxiv_version","alias_value":"2512.19149v3","created_at":"2026-07-20T00:18:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.19149","created_at":"2026-07-20T00:18:16Z"},{"alias_kind":"pith_short_12","alias_value":"WX6MN52LP5AP","created_at":"2026-07-20T00:18:16Z"},{"alias_kind":"pith_short_16","alias_value":"WX6MN52LP5APALWO","created_at":"2026-07-20T00:18:16Z"},{"alias_kind":"pith_short_8","alias_value":"WX6MN52L","created_at":"2026-07-20T00:18:16Z"}],"graph_snapshots":[{"event_id":"sha256:ba9b8049ac34067ccfa4895e589866575e5d1b84a4e94117be6c923da61d51c7","target":"graph","created_at":"2026-07-20T00:18:16Z","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/2512.19149/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work we develop constitutive equations for a dense, sheared suspension of frictionally interacting rods by applying Onsager's variational method as formulated by Doi. We treat both solid friction, of the Amontons-Coulomb form; and lubricated friction, which scales with relative tangential velocity at the contact point. Dissipation functions in terms of the rod angular velocity are derived via a mean field approach for each form of friction, and from these, a Rayleighian for dense suspensions of rigid rods under shear constructed. Derivatives of this Rayleighian with respect to rod angu","authors_text":"Genevieve Qui\\~nones, Peter D. Olmsted","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2025-12-22T08:45:42Z","title":"A Smoluchowski equation for a sheared suspension of frictionally interacting rods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.19149","kind":"arxiv","version":3},"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":"sha256:736597af692fd695fe2e7205f5c0d0bf4652425d2e4ddd47dad6d994a41de343","target":"record","created_at":"2026-07-20T00:18:16Z","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":"cc1f890fddab65f4d7817adb871676fc18eff64341c5b2d8697b6ee5981b3c23","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2025-12-22T08:45:42Z","title_canon_sha256":"b50a31169fd58ab491407308a3f653b017b201d26656947f1c2f277c7b4fd50b"},"schema_version":"1.0","source":{"id":"2512.19149","kind":"arxiv","version":3}},"canonical_sha256":"b5fcc6f74b7f40f02eceea29f894ac80b538f6f607406cc6509da818301d52b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5fcc6f74b7f40f02eceea29f894ac80b538f6f607406cc6509da818301d52b1","first_computed_at":"2026-07-20T00:18:16.840371Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-20T00:18:16.840371Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wdWZ3KBIZfQt5lgTCPz+feljE1NWoiuDCIL27bnQKQa7xw8cPhx1VR4sxXGMcVOS4TIq+31AHwXx26ZfiXiwAQ==","signature_status":"signed_v1","signed_at":"2026-07-20T00:18:16.841334Z","signed_message":"canonical_sha256_bytes"},"source_id":"2512.19149","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:736597af692fd695fe2e7205f5c0d0bf4652425d2e4ddd47dad6d994a41de343","sha256:ba9b8049ac34067ccfa4895e589866575e5d1b84a4e94117be6c923da61d51c7"],"state_sha256":"3665509d2cc840327d8e8a63f85e257f4844793045775edd3280d4ddca652576"}