{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MH734RXTLFBYZ7YAJ3J64L5UN4","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":"b3744fcd988f27b768d1c4b797a7dd01e030e97b705719e4009765d38d0f1f67","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2018-06-08T23:17:15Z","title_canon_sha256":"1ee6a72c155e080969582daf2fb672e54f9188e992175b0e16fa3b996a773920"},"schema_version":"1.0","source":{"id":"1806.04512","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.04512","created_at":"2026-05-18T00:00:55Z"},{"alias_kind":"arxiv_version","alias_value":"1806.04512v1","created_at":"2026-05-18T00:00:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.04512","created_at":"2026-05-18T00:00:55Z"},{"alias_kind":"pith_short_12","alias_value":"MH734RXTLFBY","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"MH734RXTLFBYZ7YA","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"MH734RXT","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:2d4dd85c002dbfabd1918b22637cdb0f3e5150c284f2ce32b7669f711fe91b7f","target":"graph","created_at":"2026-05-18T00:00:55Z","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 develop an approximation scheme for three-dimensional dislocation dynamics in which the dislocation line density is concentrated at points, or monopoles. Every monopole carries a Burgers vector and an element of line. The monopoles move according to mobility kinetics driven by elastic and applied forces. The divergence constraint, expressing the requirement that the monopoles approximate a boundary, is enforced weakly. The fundamental difference with traditional approximation schemes based on segments is that in the present approach an explicit linear connectivity, or 'sequence', between th","authors_text":"A. Deffo, M. Ortiz, M. P. Ariza","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2018-06-08T23:17:15Z","title":"A Line-free Method of Monopoles for 3D Dislocation Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.04512","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":"sha256:825b23c1b4f6c497f9cd7ceef8964c98fd77c19ac69bb3a462daddc2080dcdac","target":"record","created_at":"2026-05-18T00:00:55Z","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":"b3744fcd988f27b768d1c4b797a7dd01e030e97b705719e4009765d38d0f1f67","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2018-06-08T23:17:15Z","title_canon_sha256":"1ee6a72c155e080969582daf2fb672e54f9188e992175b0e16fa3b996a773920"},"schema_version":"1.0","source":{"id":"1806.04512","kind":"arxiv","version":1}},"canonical_sha256":"61ffbe46f359438cff004ed3ee2fb46f0dfe708dbab8acdac98cfc4e32720a2c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"61ffbe46f359438cff004ed3ee2fb46f0dfe708dbab8acdac98cfc4e32720a2c","first_computed_at":"2026-05-18T00:00:55.133057Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:55.133057Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e53gyjjlA0kaqD9OaQFnLShz2h2/OIl2e8BTZemnD7lr275DEGP3qaZsVpKgTdSaHjewHJ8gkY/u/G02F0V6Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:55.133678Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.04512","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:825b23c1b4f6c497f9cd7ceef8964c98fd77c19ac69bb3a462daddc2080dcdac","sha256:2d4dd85c002dbfabd1918b22637cdb0f3e5150c284f2ce32b7669f711fe91b7f"],"state_sha256":"946f787dcd96e2ae512849eafaf773db1bbc1c41a176a5794b7b2834bdcddfc4"}