{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:NHAYWHJI6GDQVT4Q3KVLHXXYFF","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":"5778306459cd6966bb3217132201983dba2d980b39ba2dd59e78bf4be69bbab7","cross_cats_sorted":["physics.class-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-12-10T19:12:09Z","title_canon_sha256":"d7991def034b0a113db483e7620bd21d51348724be99df3ba63cae2b19ea8277"},"schema_version":"1.0","source":{"id":"1312.2916","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.2916","created_at":"2026-05-18T01:45:51Z"},{"alias_kind":"arxiv_version","alias_value":"1312.2916v1","created_at":"2026-05-18T01:45:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.2916","created_at":"2026-05-18T01:45:51Z"},{"alias_kind":"pith_short_12","alias_value":"NHAYWHJI6GDQ","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NHAYWHJI6GDQVT4Q","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NHAYWHJI","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:ebbab1a23cd2a5888c81c3fa7c9357d84f15b482d227e6a8e57a799f86b1a65d","target":"graph","created_at":"2026-05-18T01:45:51Z","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":"A representation of the solid angle and the Burgers formula as line integral is derived in the framework of the theory of gradient elasticity of Helmholtz type. The gradient version of the Eshelby-deWit representation of the Burgers formula of a closed dislocation loop is given. Such a form is suitable for the numerical implementation in 3D dislocation dynamics (DD).","authors_text":"Giacomo Po, Markus Lazar","cross_cats":["physics.class-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-12-10T19:12:09Z","title":"The solid angle and the Burgers formula in the theory of gradient elasticity: line integral representation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.2916","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":"sha256:2ee6aa78a8885c0df9abf93044177d34eb57c85ad37f194722327eeb490f149b","target":"record","created_at":"2026-05-18T01:45:51Z","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":"5778306459cd6966bb3217132201983dba2d980b39ba2dd59e78bf4be69bbab7","cross_cats_sorted":["physics.class-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-12-10T19:12:09Z","title_canon_sha256":"d7991def034b0a113db483e7620bd21d51348724be99df3ba63cae2b19ea8277"},"schema_version":"1.0","source":{"id":"1312.2916","kind":"arxiv","version":1}},"canonical_sha256":"69c18b1d28f1870acf90daaab3def82954cb9af7559b2ccc92f86ddd00100f99","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69c18b1d28f1870acf90daaab3def82954cb9af7559b2ccc92f86ddd00100f99","first_computed_at":"2026-05-18T01:45:51.995370Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:45:51.995370Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4K7wIGrMu8P/neEeqkehA9/+7Q7zi81wWlfEhZ0aggRrlYvJfAL75+bdbfSXNH4oDXfvKS2V/+Rmw95DxYOzBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:45:51.995823Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.2916","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ee6aa78a8885c0df9abf93044177d34eb57c85ad37f194722327eeb490f149b","sha256:ebbab1a23cd2a5888c81c3fa7c9357d84f15b482d227e6a8e57a799f86b1a65d"],"state_sha256":"888794eb13df7f881cfbc4f3968a4bc6c885f706ad4609d4503268b8378dfdb5"}