{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:IGXXJRGLXBDCOEYEFF25S5UE36","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":"0ade4385d036c80a10bfc76197b7845eda454c4c84f6ef30fdfd5449f3c445b6","cross_cats_sorted":["cond-mat.other"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2024-12-18T10:44:07Z","title_canon_sha256":"9abecc55e89cf9b6e257effa8f2cf9616172f62e88b1629d2253b39460204e91"},"schema_version":"1.0","source":{"id":"2412.13700","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.13700","created_at":"2026-07-05T09:56:03Z"},{"alias_kind":"arxiv_version","alias_value":"2412.13700v2","created_at":"2026-07-05T09:56:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.13700","created_at":"2026-07-05T09:56:03Z"},{"alias_kind":"pith_short_12","alias_value":"IGXXJRGLXBDC","created_at":"2026-07-05T09:56:03Z"},{"alias_kind":"pith_short_16","alias_value":"IGXXJRGLXBDCOEYE","created_at":"2026-07-05T09:56:03Z"},{"alias_kind":"pith_short_8","alias_value":"IGXXJRGL","created_at":"2026-07-05T09:56:03Z"}],"graph_snapshots":[{"event_id":"sha256:9bb06ace1a3b4cb4fe2764e185d43fd6218b7a8bd15aab7df16e57618f06a6a9","target":"graph","created_at":"2026-07-05T09:56:03Z","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/2412.13700/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A series of recent papers have modified the classical variational phase-field fracture models to successfully predict both the nucleation and propagation of cracks in brittle fracture under general loading conditions. This is done through the introduction of a consistent crack nucleation driving force in the phase field governing equations, which results in the model being able to capture both the strength surface and fracture toughness of the material. This driving force has been presented in the literature for the case of Drucker-Prager strength surface and specific choice of stress states o","authors_text":"Chockalingam Senthilnathan","cross_cats":["cond-mat.other"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2024-12-18T10:44:07Z","title":"On the construction of explicit analytical driving forces for crack nucleation in the phase field approach to brittle fracture with application to Mohr-Coulomb and Drucker-Prager strength surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.13700","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":"sha256:86a44336c96b03ae39b28134bff1b348bc68a8c438c58428feebdbb4f6498860","target":"record","created_at":"2026-07-05T09:56:03Z","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":"0ade4385d036c80a10bfc76197b7845eda454c4c84f6ef30fdfd5449f3c445b6","cross_cats_sorted":["cond-mat.other"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2024-12-18T10:44:07Z","title_canon_sha256":"9abecc55e89cf9b6e257effa8f2cf9616172f62e88b1629d2253b39460204e91"},"schema_version":"1.0","source":{"id":"2412.13700","kind":"arxiv","version":2}},"canonical_sha256":"41af74c4cbb8462713042975d97684dfad0bb3925f4bbb9195375b224619602e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41af74c4cbb8462713042975d97684dfad0bb3925f4bbb9195375b224619602e","first_computed_at":"2026-07-05T09:56:03.657918Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:56:03.657918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8oiZGNMYBXQErfdrNW3JQIM7oNY7v2kmCRM8AYffnnWn8mX5Yg0NRed2R3I/EMiL4UvURUTC08GM4e2xNCKQDA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:56:03.658393Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.13700","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86a44336c96b03ae39b28134bff1b348bc68a8c438c58428feebdbb4f6498860","sha256:9bb06ace1a3b4cb4fe2764e185d43fd6218b7a8bd15aab7df16e57618f06a6a9"],"state_sha256":"33f27d07aa3c75eb2f4625c3b10cd6ebda23e43697624e4a872b54658e14f888"}