{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ST6WIGQFA7MG5LTOIIXKKLLUWH","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":"6f9896aba3bc44d6116bdecbe6d7b76fcf0061cb32e7a82e881ce481907e5916","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-01-14T11:45:02Z","title_canon_sha256":"a36c3ce369880ccb7fff388b42a38e0e3d724fd069eb8065fde28a862dc15dc3"},"schema_version":"1.0","source":{"id":"1401.3152","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.3152","created_at":"2026-05-18T03:02:19Z"},{"alias_kind":"arxiv_version","alias_value":"1401.3152v1","created_at":"2026-05-18T03:02:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.3152","created_at":"2026-05-18T03:02:19Z"},{"alias_kind":"pith_short_12","alias_value":"ST6WIGQFA7MG","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"ST6WIGQFA7MG5LTO","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"ST6WIGQF","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:f49923f01c8f089b5caad7dbf9fdc3cd8a3af6e4ad0ec6b969f946d85248e2fa","target":"graph","created_at":"2026-05-18T03:02:19Z","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 continuum mechanical framework for the description of the geometry and kinematics of defects in material structure is proposed. The setting applies to a body manifold of any dimension which is devoid of a Riemannian or a parallelism structure. In addition, both continuous distributions of defects as well as singular distributions are encompassed by the theory. In the general case, the material structure is specified by a de Rham current $T$ and the associated defects are given by its boundary. For a motion of defects associated with a family of diffeomorphisms of a material body, it is shown","authors_text":"Marcelo Epstein, Reuven Segev","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-01-14T11:45:02Z","title":"On the Geometry and Kinematics of Smoothly Distributed and Singular Defects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.3152","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":"sha256:39dbb32fd6905b95345ae0021aadd2531b1e02f5dac19b4eff6e854ab7f0e809","target":"record","created_at":"2026-05-18T03:02:19Z","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":"6f9896aba3bc44d6116bdecbe6d7b76fcf0061cb32e7a82e881ce481907e5916","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-01-14T11:45:02Z","title_canon_sha256":"a36c3ce369880ccb7fff388b42a38e0e3d724fd069eb8065fde28a862dc15dc3"},"schema_version":"1.0","source":{"id":"1401.3152","kind":"arxiv","version":1}},"canonical_sha256":"94fd641a0507d86eae6e422ea52d74b1e59720df4c9e1f0bf3d84050dda2bb60","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94fd641a0507d86eae6e422ea52d74b1e59720df4c9e1f0bf3d84050dda2bb60","first_computed_at":"2026-05-18T03:02:19.489018Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:19.489018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j4YEwNqsDQ31PrJ9/2rKXqTq/U63UxEETgHExQS/nuV82kbDWWarCPt4iMFpMdLhyt8F2gags1e3FtifF0JGBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:19.489822Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.3152","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39dbb32fd6905b95345ae0021aadd2531b1e02f5dac19b4eff6e854ab7f0e809","sha256:f49923f01c8f089b5caad7dbf9fdc3cd8a3af6e4ad0ec6b969f946d85248e2fa"],"state_sha256":"17bc4b6c275e9a2a9d521ae8b1f3c3a5b643d4af3d0f46fbd26ab49302a70d49"}