{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:VMBNBW3SAE2BW55Q34MBE3UGB4","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":"1dabef897511e73b39f9b62031d227f90a8c3570226d851fcc39921b1abb2813","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2019-05-18T01:41:32Z","title_canon_sha256":"36e934b20f96877dd05b2b3277eb52ba4b6792cb5923d38f35c5df53e48ceabc"},"schema_version":"1.0","source":{"id":"1905.07519","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.07519","created_at":"2026-06-04T20:14:31Z"},{"alias_kind":"arxiv_version","alias_value":"1905.07519v1","created_at":"2026-06-04T20:14:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.07519","created_at":"2026-06-04T20:14:31Z"},{"alias_kind":"pith_short_12","alias_value":"VMBNBW3SAE2B","created_at":"2026-06-04T20:14:31Z"},{"alias_kind":"pith_short_16","alias_value":"VMBNBW3SAE2BW55Q","created_at":"2026-06-04T20:14:31Z"},{"alias_kind":"pith_short_8","alias_value":"VMBNBW3S","created_at":"2026-06-04T20:14:31Z"}],"graph_snapshots":[{"event_id":"sha256:8964fea290ec95912f4db5be7f94985271d27fb6962ffcf109847e7d86de3496","target":"graph","created_at":"2026-06-04T20:14:31Z","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/1905.07519/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work addresses an efficient Global-Local approach supplemented with predictor-corrector adaptivity applied to anisotropic phase-field brittle fracture. The phase-field formulation is used to resolve the sharp crack surface topology on the anisotropic/non-uniform local state in the regularized concept. To resolve the crack phase-field by a given single preferred direction, second-order structural tensors are imposed to both the bulk and crack surface density functions. Accordingly, a split in tension and compression modes in anisotropic materials is considered. A Global-Local formulation i","authors_text":"Fadi Aldakheel, Nima Noii, Peter Wriggers, Thomas Wick","cross_cats":["cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2019-05-18T01:41:32Z","title":"An Adaptive Global-Local Approach for Phase-Field Modeling of Anisotropic Brittle Fracture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.07519","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:db267623532fdc3226fc8e5c8f27b3a17af61cc2e9d3c8a0fda49c9eab38389f","target":"record","created_at":"2026-06-04T20:14:31Z","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":"1dabef897511e73b39f9b62031d227f90a8c3570226d851fcc39921b1abb2813","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2019-05-18T01:41:32Z","title_canon_sha256":"36e934b20f96877dd05b2b3277eb52ba4b6792cb5923d38f35c5df53e48ceabc"},"schema_version":"1.0","source":{"id":"1905.07519","kind":"arxiv","version":1}},"canonical_sha256":"ab02d0db7201341b77b0df18126e860f0efaaaf8ac4e219893f1cb4ca0cbea2a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab02d0db7201341b77b0df18126e860f0efaaaf8ac4e219893f1cb4ca0cbea2a","first_computed_at":"2026-06-04T20:14:31.612567Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T20:14:31.612567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p+j7ghd7Y4E3PDVqAUogtQh90kNJjOfusp+0YvpprCIHsGxn0DM0rtA9p9NRVJvOPH/v81jXh/z4WnS7Pqf0AA==","signature_status":"signed_v1","signed_at":"2026-06-04T20:14:31.613048Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.07519","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db267623532fdc3226fc8e5c8f27b3a17af61cc2e9d3c8a0fda49c9eab38389f","sha256:8964fea290ec95912f4db5be7f94985271d27fb6962ffcf109847e7d86de3496"],"state_sha256":"c824d0dcca9e737adeb56d46f7bbd5893fd496b76d11ab856e3d5b5c18666b86"}