{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CC35NNU4FPLGM6OGQXIQ6DEXXN","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":"83b43a6398691c6809a1cc22bb554dac362d3c099a0138e72611ed18e4cc29e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-10-02T00:24:10Z","title_canon_sha256":"b811bf59d82f559c0d4844ff8b81057b342642488a079370052fb3c988bb6b4c"},"schema_version":"1.0","source":{"id":"1310.0531","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.0531","created_at":"2026-05-18T03:11:35Z"},{"alias_kind":"arxiv_version","alias_value":"1310.0531v1","created_at":"2026-05-18T03:11:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.0531","created_at":"2026-05-18T03:11:35Z"},{"alias_kind":"pith_short_12","alias_value":"CC35NNU4FPLG","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CC35NNU4FPLGM6OG","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CC35NNU4","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:c893242783de96341c8a04fccd45faff02b8df1dbddfe5dcff6013f2d478c125","target":"graph","created_at":"2026-05-18T03:11:35Z","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":"We study three quasicontinuum approximations of a lattice model for crack propagation. The influence of the approximation on the bifurcation patterns is investigated. The estimate of the modeling error is applicable to near and beyond bifurcation points, which enables us to evaluate the approximation over a finite range of loading and multiple mechanical equilibria.","authors_text":"Pingbing Ming, Xiantao Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-10-02T00:24:10Z","title":"A study on the quasiconinuum approximations of a one-dimensional fracture model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.0531","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":"sha256:77d4c76bb70fc12c7da4c388f52843803dc0e403db11137a30cbd5d93f1f3790","target":"record","created_at":"2026-05-18T03:11:35Z","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":"83b43a6398691c6809a1cc22bb554dac362d3c099a0138e72611ed18e4cc29e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-10-02T00:24:10Z","title_canon_sha256":"b811bf59d82f559c0d4844ff8b81057b342642488a079370052fb3c988bb6b4c"},"schema_version":"1.0","source":{"id":"1310.0531","kind":"arxiv","version":1}},"canonical_sha256":"10b7d6b69c2bd66679c685d10f0c97bb4e21aa991f2fe46aa3096baf7d13610e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"10b7d6b69c2bd66679c685d10f0c97bb4e21aa991f2fe46aa3096baf7d13610e","first_computed_at":"2026-05-18T03:11:35.052477Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:11:35.052477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qWx8ebPJVANf13QfaIIrBhzITyGwv7uQKug6BF6/wqtEkOBN4ZPsDjMQoKBQyk1fpilcBMhktfKxnVvjSh1+Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:11:35.052983Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.0531","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77d4c76bb70fc12c7da4c388f52843803dc0e403db11137a30cbd5d93f1f3790","sha256:c893242783de96341c8a04fccd45faff02b8df1dbddfe5dcff6013f2d478c125"],"state_sha256":"b881f03306dd926b1bb26ea5b9cc82724a754eb3e866bee0c30a02590e1703ab"}