{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BPEBDTYTZBJCEABTIHJYRDKJL5","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":"812fb6ce8fcb7cdae6c7f962c5db2e3bc2d04a60609985daa6f102450a98d04a","cross_cats_sorted":["cond-mat.soft","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2017-06-09T17:14:36Z","title_canon_sha256":"8c46410cc1dd87376e6f304a1d405d79352010f3ace790595cad3e49e698a0cb"},"schema_version":"1.0","source":{"id":"1706.03047","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.03047","created_at":"2026-05-18T00:04:05Z"},{"alias_kind":"arxiv_version","alias_value":"1706.03047v4","created_at":"2026-05-18T00:04:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.03047","created_at":"2026-05-18T00:04:05Z"},{"alias_kind":"pith_short_12","alias_value":"BPEBDTYTZBJC","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BPEBDTYTZBJCEABT","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BPEBDTYT","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:110f132a21e701ef399fc406bf1239d07eef5b4027db87bb35eb0a80f80dcc78","target":"graph","created_at":"2026-05-18T00:04:05Z","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 revisit the classical problem of the planar Euler \\emph{elastica} with applied forces and moments, and present a classification of the shapes in terms of tangentially conserved quantities associated with spatial and material symmetries. We compare commonly used director, variational, and dynamical systems representations, and present several illustrative physical examples. We remark that an approach that employs only the shape equation for the tangential angle obscures physical information about the tension in the body.","authors_text":"H. Singh, J. A. Hanna","cross_cats":["cond-mat.soft","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2017-06-09T17:14:36Z","title":"On the planar elastica, stress, and material stress"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.03047","kind":"arxiv","version":4},"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":"sha256:9dec996d986e453b70a68d04c3d82ce8cffa31c23abcf5356fdc44ced8e6b650","target":"record","created_at":"2026-05-18T00:04:05Z","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":"812fb6ce8fcb7cdae6c7f962c5db2e3bc2d04a60609985daa6f102450a98d04a","cross_cats_sorted":["cond-mat.soft","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2017-06-09T17:14:36Z","title_canon_sha256":"8c46410cc1dd87376e6f304a1d405d79352010f3ace790595cad3e49e698a0cb"},"schema_version":"1.0","source":{"id":"1706.03047","kind":"arxiv","version":4}},"canonical_sha256":"0bc811cf13c85222003341d3888d495f6c45b4f3196dc37a5bffb068dc0170d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0bc811cf13c85222003341d3888d495f6c45b4f3196dc37a5bffb068dc0170d7","first_computed_at":"2026-05-18T00:04:05.221520Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:05.221520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NJptTV+wMs8GFRDs8uLtiEkSIF7QdZVwz0t8WtZqYuOb25ZATdmU7U+/I7jmE3dyOmfALO2mSGnk002WlLp9CA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:05.222178Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.03047","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9dec996d986e453b70a68d04c3d82ce8cffa31c23abcf5356fdc44ced8e6b650","sha256:110f132a21e701ef399fc406bf1239d07eef5b4027db87bb35eb0a80f80dcc78"],"state_sha256":"8e57b786d53ff014e35e1229e3cf97ef97a5f5792bae03da518ee577023277d6"}