{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:UTX54OSYYA4F3RJD5TFC6LKCMJ","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":"99caf3547f82395a9a66d7fffbce63232779eff6146975ec0ccef34fdfe441a5","cross_cats_sorted":["cs.CE","cs.NA","math.AP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2021-01-05T09:57:25Z","title_canon_sha256":"1c6a745692ac2efc23b9bea3845b7a65e9102fa645941b0878faa16d4e09edbc"},"schema_version":"1.0","source":{"id":"2101.01434","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.01434","created_at":"2026-07-05T02:52:59Z"},{"alias_kind":"arxiv_version","alias_value":"2101.01434v1","created_at":"2026-07-05T02:52:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.01434","created_at":"2026-07-05T02:52:59Z"},{"alias_kind":"pith_short_12","alias_value":"UTX54OSYYA4F","created_at":"2026-07-05T02:52:59Z"},{"alias_kind":"pith_short_16","alias_value":"UTX54OSYYA4F3RJD","created_at":"2026-07-05T02:52:59Z"},{"alias_kind":"pith_short_8","alias_value":"UTX54OSY","created_at":"2026-07-05T02:52:59Z"}],"graph_snapshots":[{"event_id":"sha256:d3a417be0262e27cd72f7f732795e095ba8b701f38052ba6c9ab5388b88cfeb0","target":"graph","created_at":"2026-07-05T02:52:59Z","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/2101.01434/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Meshfree discretizations of state-based peridynamic models are attractive due to their ability to naturally describe fracture of general materials. However, two factors conspire to prevent meshfree discretizations of state-based peridynamics from converging to corresponding local solutions as resolution is increased: quadrature error prevents an accurate prediction of bulk mechanics, and the lack of an explicit boundary representation presents challenges when applying traction loads. In this paper, we develop a reformulation of the linear peridynamic solid (LPS) model to address these shortcom","authors_text":"Huaiqian You, Nathaniel Trask, Yue Yu","cross_cats":["cs.CE","cs.NA","math.AP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2021-01-05T09:57:25Z","title":"An asymptotically compatible treatment of traction loading in linearly elastic peridynamic fracture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.01434","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":"sha256:9904b319e28d62483e454e44baff9a3fdf24880749504dcaed8a1ac441746ebb","target":"record","created_at":"2026-07-05T02:52:59Z","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":"99caf3547f82395a9a66d7fffbce63232779eff6146975ec0ccef34fdfe441a5","cross_cats_sorted":["cs.CE","cs.NA","math.AP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2021-01-05T09:57:25Z","title_canon_sha256":"1c6a745692ac2efc23b9bea3845b7a65e9102fa645941b0878faa16d4e09edbc"},"schema_version":"1.0","source":{"id":"2101.01434","kind":"arxiv","version":1}},"canonical_sha256":"a4efde3a58c0385dc523ecca2f2d426243825c5d539e20e524eda4bfb5d90257","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4efde3a58c0385dc523ecca2f2d426243825c5d539e20e524eda4bfb5d90257","first_computed_at":"2026-07-05T02:52:59.614385Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:52:59.614385Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UMcQqLL2b3QtCZhFRAiVs0QI3i0bLbpUyHGGYW/pStmlw5BcZqah6Di90qveIKh3WMSMm6kIJTnfE6cHsU5+DA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:52:59.614948Z","signed_message":"canonical_sha256_bytes"},"source_id":"2101.01434","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9904b319e28d62483e454e44baff9a3fdf24880749504dcaed8a1ac441746ebb","sha256:d3a417be0262e27cd72f7f732795e095ba8b701f38052ba6c9ab5388b88cfeb0"],"state_sha256":"6b0287bd90272346c40dbcf6b18c75dbe7f009cf4439f1c2217318db62f9fa76"}