{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:EO3HA37INPP6JHSQ5XCF3ZT3IN","short_pith_number":"pith:EO3HA37I","schema_version":"1.0","canonical_sha256":"23b6706fe86bdfe49e50edc45de67b4374baf127ebc3114ced1c91851e22278d","source":{"kind":"arxiv","id":"2511.23064","version":2},"attestation_state":"computed","paper":{"title":"Iterative convergence in phase-field brittle fracture computations: exact line search is all you need","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CE","authors_text":"Francesco Vicentini, Jonas Heinzmann, Laura De Lorenzis, Pietro Carrara","submitted_at":"2025-11-28T10:42:01Z","abstract_excerpt":"Variational phase-field models of brittle fracture pose a local constrained minimization problem of a non-convex energy functional. In the discrete setting, the problem is most often solved by alternate minimization, exploiting the separate convexity of the energy with respect to the two unknowns. This approach is theoretically guaranteed to converge, provided each of the individual subproblems is solved successfully. However, strong non-linearities of the energy functional may lead to failure of iterative convergence within one or both subproblems. We analyze and visualize the energy along Ne"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2511.23064","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2025-11-28T10:42:01Z","cross_cats_sorted":[],"title_canon_sha256":"ad4e380947a05d946ee7de50162cbb9ab838a523f1ab8866223dcd25c8d75f42","abstract_canon_sha256":"0c0054fd777e06fbc8048f771bd494fa3537f3274f221bc36c65159c4cd04b84"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-09T02:08:35.226552Z","signature_b64":"7oE5fwF5/8tCeA8tDwPZQeT4RKCUc528tueVMdRPPJyB6JxkBvs7qyvaN5T6NB+Knx3CUZlUXN3Up6WpPncTDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"23b6706fe86bdfe49e50edc45de67b4374baf127ebc3114ced1c91851e22278d","last_reissued_at":"2026-06-09T02:08:35.225370Z","signature_status":"signed_v1","first_computed_at":"2026-06-09T02:08:35.225370Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Iterative convergence in phase-field brittle fracture computations: exact line search is all you need","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CE","authors_text":"Francesco Vicentini, Jonas Heinzmann, Laura De Lorenzis, Pietro Carrara","submitted_at":"2025-11-28T10:42:01Z","abstract_excerpt":"Variational phase-field models of brittle fracture pose a local constrained minimization problem of a non-convex energy functional. In the discrete setting, the problem is most often solved by alternate minimization, exploiting the separate convexity of the energy with respect to the two unknowns. This approach is theoretically guaranteed to converge, provided each of the individual subproblems is solved successfully. However, strong non-linearities of the energy functional may lead to failure of iterative convergence within one or both subproblems. We analyze and visualize the energy along Ne"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2511.23064","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2511.23064/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2511.23064","created_at":"2026-06-09T02:08:35.225583+00:00"},{"alias_kind":"arxiv_version","alias_value":"2511.23064v2","created_at":"2026-06-09T02:08:35.225583+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.23064","created_at":"2026-06-09T02:08:35.225583+00:00"},{"alias_kind":"pith_short_12","alias_value":"EO3HA37INPP6","created_at":"2026-06-09T02:08:35.225583+00:00"},{"alias_kind":"pith_short_16","alias_value":"EO3HA37INPP6JHSQ","created_at":"2026-06-09T02:08:35.225583+00:00"},{"alias_kind":"pith_short_8","alias_value":"EO3HA37I","created_at":"2026-06-09T02:08:35.225583+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EO3HA37INPP6JHSQ5XCF3ZT3IN","json":"https://pith.science/pith/EO3HA37INPP6JHSQ5XCF3ZT3IN.json","graph_json":"https://pith.science/api/pith-number/EO3HA37INPP6JHSQ5XCF3ZT3IN/graph.json","events_json":"https://pith.science/api/pith-number/EO3HA37INPP6JHSQ5XCF3ZT3IN/events.json","paper":"https://pith.science/paper/EO3HA37I"},"agent_actions":{"view_html":"https://pith.science/pith/EO3HA37INPP6JHSQ5XCF3ZT3IN","download_json":"https://pith.science/pith/EO3HA37INPP6JHSQ5XCF3ZT3IN.json","view_paper":"https://pith.science/paper/EO3HA37I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2511.23064&json=true","fetch_graph":"https://pith.science/api/pith-number/EO3HA37INPP6JHSQ5XCF3ZT3IN/graph.json","fetch_events":"https://pith.science/api/pith-number/EO3HA37INPP6JHSQ5XCF3ZT3IN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EO3HA37INPP6JHSQ5XCF3ZT3IN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EO3HA37INPP6JHSQ5XCF3ZT3IN/action/storage_attestation","attest_author":"https://pith.science/pith/EO3HA37INPP6JHSQ5XCF3ZT3IN/action/author_attestation","sign_citation":"https://pith.science/pith/EO3HA37INPP6JHSQ5XCF3ZT3IN/action/citation_signature","submit_replication":"https://pith.science/pith/EO3HA37INPP6JHSQ5XCF3ZT3IN/action/replication_record"}},"created_at":"2026-06-09T02:08:35.225583+00:00","updated_at":"2026-06-09T02:08:35.225583+00:00"}