{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:5HPJD332PDQKR7SAOBQLWCKNNP","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":"461d0c9297b95de9359ac3db750ab2f52da59f58864fe1946ba9c0b5e5499354","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-07-26T13:52:41Z","title_canon_sha256":"30e4d5ce2a53d750837b30ce727328f095d92948e8b5ac04827fbb5f98a8af78"},"schema_version":"1.0","source":{"id":"2507.19955","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.19955","created_at":"2026-07-05T11:43:45Z"},{"alias_kind":"arxiv_version","alias_value":"2507.19955v1","created_at":"2026-07-05T11:43:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.19955","created_at":"2026-07-05T11:43:45Z"},{"alias_kind":"pith_short_12","alias_value":"5HPJD332PDQK","created_at":"2026-07-05T11:43:45Z"},{"alias_kind":"pith_short_16","alias_value":"5HPJD332PDQKR7SA","created_at":"2026-07-05T11:43:45Z"},{"alias_kind":"pith_short_8","alias_value":"5HPJD332","created_at":"2026-07-05T11:43:45Z"}],"graph_snapshots":[{"event_id":"sha256:77434e62cc0daebf874bbabacdfb9c5791753f540d42cc16ed2b86a4662a75c7","target":"graph","created_at":"2026-07-05T11:43:45Z","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/2507.19955/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the dynamic Biot model (see [Biot, M. A. J. Appl. Phys. 33, 1482--1498 (1962)]) describing the interaction between fluid flow and solid deformation including wave propagation phenomena in both the liquid and solid phases of a saturated porous medium. This model couples a hyperbolic equation for momentum balance to a second-order in time dynamic Darcy law and a parabolic equation for the balance of mass and is here considered in three-field formulation with the displacement of the elastic matrix, the fluid velocity, and the fluid pressure being the physical fields of interest.\n  A f","authors_text":"Johannes Kraus, Kevin Osthues, Maria Lymbery","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-07-26T13:52:41Z","title":"Time-continuous strongly conservative space-time finite element methods for the dynamic Biot model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.19955","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:d16a26145189c5e02b63b504a6beef11c2a3607a286b0d4a4800116279a5c760","target":"record","created_at":"2026-07-05T11:43:45Z","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":"461d0c9297b95de9359ac3db750ab2f52da59f58864fe1946ba9c0b5e5499354","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-07-26T13:52:41Z","title_canon_sha256":"30e4d5ce2a53d750837b30ce727328f095d92948e8b5ac04827fbb5f98a8af78"},"schema_version":"1.0","source":{"id":"2507.19955","kind":"arxiv","version":1}},"canonical_sha256":"e9de91ef7a78e0a8fe407060bb094d6bcfb6fc61026ec9f2874d2a5b8daaa8f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e9de91ef7a78e0a8fe407060bb094d6bcfb6fc61026ec9f2874d2a5b8daaa8f1","first_computed_at":"2026-07-05T11:43:45.500630Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:43:45.500630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P+hYOA17iZQQ3oRIusTg5JR4uZZKNObpBblIgHfR6x/kY74cc7i6MgrdeQGBN9MQGwM8YY4GOE8kH1TfuNRPDA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:43:45.501244Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.19955","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d16a26145189c5e02b63b504a6beef11c2a3607a286b0d4a4800116279a5c760","sha256:77434e62cc0daebf874bbabacdfb9c5791753f540d42cc16ed2b86a4662a75c7"],"state_sha256":"41174cc4081978f6dcc76e53355e821991dfcdb62b6f74771569f0d118940094"}