{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ABCF52CPABI3UENVXATE7SAELL","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":"5cfe3333ef34bef698fce16a2a15f7132eabf062514dccbc5168cbda19a60306","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2025-07-13T21:17:51Z","title_canon_sha256":"31ae79831b5b582f0453d01c999e11fba18a2d0de171d05d6a6b93c57f39e250"},"schema_version":"1.0","source":{"id":"2507.09796","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.09796","created_at":"2026-07-05T11:36:39Z"},{"alias_kind":"arxiv_version","alias_value":"2507.09796v1","created_at":"2026-07-05T11:36:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.09796","created_at":"2026-07-05T11:36:39Z"},{"alias_kind":"pith_short_12","alias_value":"ABCF52CPABI3","created_at":"2026-07-05T11:36:39Z"},{"alias_kind":"pith_short_16","alias_value":"ABCF52CPABI3UENV","created_at":"2026-07-05T11:36:39Z"},{"alias_kind":"pith_short_8","alias_value":"ABCF52CP","created_at":"2026-07-05T11:36:39Z"}],"graph_snapshots":[{"event_id":"sha256:9386a0d2fd88a4ffb01ee782e7746cb760423d0f66cf796b78d3e76712782113","target":"graph","created_at":"2026-07-05T11:36:39Z","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/2507.09796/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Empirical rate-and-state friction laws are widely used in geophysics and engineering to simulate interface slip. They postulate that the friction coefficient depends on the local slip rate and a state variable that reflects the history of slip. Depending on the parameters, rate-and-state friction can be either rate-strengthening, leading to steady slip, or rate-weakening, leading to unsteady stick-slip behavior modeling earthquakes. Rate-and-state friction does not have a potential or variational formulation, making implicit solution approaches difficult and implementation numerically expensiv","authors_text":"Kaushik Bhattacharya, Nadia Lapusta, Shengduo Liu","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2025-07-13T21:17:51Z","title":"Learning a potential formulation for rate-and-state friction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.09796","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":"sha256:78eb4c771edc3ab67166f9dc5822c3a99169dd4be60786fba5a9035990f4dd3f","target":"record","created_at":"2026-07-05T11:36:39Z","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":"5cfe3333ef34bef698fce16a2a15f7132eabf062514dccbc5168cbda19a60306","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2025-07-13T21:17:51Z","title_canon_sha256":"31ae79831b5b582f0453d01c999e11fba18a2d0de171d05d6a6b93c57f39e250"},"schema_version":"1.0","source":{"id":"2507.09796","kind":"arxiv","version":1}},"canonical_sha256":"00445ee84f0051ba11b5b8264fc8045acb01780bfcb5c2004dde9187aaa58478","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00445ee84f0051ba11b5b8264fc8045acb01780bfcb5c2004dde9187aaa58478","first_computed_at":"2026-07-05T11:36:39.862651Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:36:39.862651Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9sZmEH+r9JP/oJ2un+M3LuG2iVDva4djYoHYvYb9KX/iaKlUbeKAe9uoRRY1JtWhj8jF1CX7I4MvJMRWmC+8Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:36:39.863144Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.09796","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:78eb4c771edc3ab67166f9dc5822c3a99169dd4be60786fba5a9035990f4dd3f","sha256:9386a0d2fd88a4ffb01ee782e7746cb760423d0f66cf796b78d3e76712782113"],"state_sha256":"83da12094e665ab7cfa4e0be70a1456da0f103af1bdee8aa6b501bcdd5d8b968"}