{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:AC7ZG44D2E5RHVK7E5IVPZQ3NX","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":"d701654554c78938ac4f4c2595a741790650c0aa0024050aa0e41accd5999a22","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-03-30T10:44:37Z","title_canon_sha256":"d387d45f8c31852b6a1cb899ecb1a80b4b0b545c114512029592f53ac108f014"},"schema_version":"1.0","source":{"id":"1904.00196","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.00196","created_at":"2026-05-17T23:45:27Z"},{"alias_kind":"arxiv_version","alias_value":"1904.00196v1","created_at":"2026-05-17T23:45:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.00196","created_at":"2026-05-17T23:45:27Z"},{"alias_kind":"pith_short_12","alias_value":"AC7ZG44D2E5R","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"AC7ZG44D2E5RHVK7","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"AC7ZG44D","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:19abda849c0464d510e93189a369b153b592cbcb4e317cffba1e0312fd2a99ad","target":"graph","created_at":"2026-05-17T23:45:27Z","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"},"paper":{"abstract_excerpt":"In this work, we extend a phase-field approach for pressurized fractures to non-isothermal settings. Specifically, the pressure and the temperature are given quantities and the emphasis is on the correct modeling of the interface laws between a porous medium and the fracture. The resulting model is augmented with thermodynamical arguments and then analyzed from a mechanical perspective. The numerical solution is based on a robust semi-smooth Newton approach in which the linear equation systems are solved with a generalized minimal residual method and algebraic multigrid preconditioning. The pr","authors_text":"Nima Noii, Thomas Wick","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-03-30T10:44:37Z","title":"A Phase-Field Description for Pressurized and Non-Isothermal Propagating Fractures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.00196","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":"sha256:86460c48355b89a334a121a3fec7fdc312cad429e6ba41684be44535ef9155ec","target":"record","created_at":"2026-05-17T23:45:27Z","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":"d701654554c78938ac4f4c2595a741790650c0aa0024050aa0e41accd5999a22","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-03-30T10:44:37Z","title_canon_sha256":"d387d45f8c31852b6a1cb899ecb1a80b4b0b545c114512029592f53ac108f014"},"schema_version":"1.0","source":{"id":"1904.00196","kind":"arxiv","version":1}},"canonical_sha256":"00bf937383d13b13d55f275157e61b6df6d8f2168c4a925730360dd170303bdd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00bf937383d13b13d55f275157e61b6df6d8f2168c4a925730360dd170303bdd","first_computed_at":"2026-05-17T23:45:27.029763Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:27.029763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xISCARmpKKmKar1ntsJwVS2JjnjPW0W8VnHIt8qepez+25ChmMYYlXH5nPWQjZ3z0ZVPRhp0egC7WixXql5xBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:27.030262Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.00196","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86460c48355b89a334a121a3fec7fdc312cad429e6ba41684be44535ef9155ec","sha256:19abda849c0464d510e93189a369b153b592cbcb4e317cffba1e0312fd2a99ad"],"state_sha256":"44197f5edd35d31c47fd10bff4ba4faf97039de81819d5126045d117d91a4a1c"}