{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:CKMFFS4LGKCS55WW674VGJGX5R","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":"c402d0b386aed738e911bdbf1ac12123aa88f96c0c37c4754654e7a356bf7f2a","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2010-08-17T02:59:00Z","title_canon_sha256":"73aa390b28f7c3a345fefb6c206fdba5469c03fe48edbb39f9efd1b0b18d30b8"},"schema_version":"1.0","source":{"id":"1008.2808","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.2808","created_at":"2026-05-18T04:11:51Z"},{"alias_kind":"arxiv_version","alias_value":"1008.2808v3","created_at":"2026-05-18T04:11:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.2808","created_at":"2026-05-18T04:11:51Z"},{"alias_kind":"pith_short_12","alias_value":"CKMFFS4LGKCS","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CKMFFS4LGKCS55WW","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CKMFFS4L","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:fd38e7fb497dad8cab31e065a483b223d335f54e8b4dc1720ded9672108f3790","target":"graph","created_at":"2026-05-18T04:11:51Z","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":"We construct explicit solutions to the discrete motion of discrete plane curves that has been introduced by one of the authors recently. Explicit formulas in terms the $\\tau$ function are presented. Transformation theory of the motions of both smooth and discrete curves is developed simultaneously.","authors_text":"Jun-ichi Inoguchi, Kenji Kajiwara, Nozomu Matsuura, Yasuhiro Ohta","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2010-08-17T02:59:00Z","title":"Motion and B\\\"acklund Transformations of Discrete Plane Curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.2808","kind":"arxiv","version":3},"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:f3f38bb438150c1453dfa839911f5ce51b2bb3f1a374a577e6decbf45aa0029f","target":"record","created_at":"2026-05-18T04:11:51Z","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":"c402d0b386aed738e911bdbf1ac12123aa88f96c0c37c4754654e7a356bf7f2a","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2010-08-17T02:59:00Z","title_canon_sha256":"73aa390b28f7c3a345fefb6c206fdba5469c03fe48edbb39f9efd1b0b18d30b8"},"schema_version":"1.0","source":{"id":"1008.2808","kind":"arxiv","version":3}},"canonical_sha256":"129852cb8b32852ef6d6f7f95324d7ec71766e207496d9a9b341d00217890fee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"129852cb8b32852ef6d6f7f95324d7ec71766e207496d9a9b341d00217890fee","first_computed_at":"2026-05-18T04:11:51.805183Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:11:51.805183Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s3SZiswc8eohcxLvVwcGO4XZEvn25nGwU2zGEg/ZauIxKZWMjlvFlXoSFtzS1hqqliBpLJQgLGeICH17R1Q2Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:11:51.805875Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.2808","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3f38bb438150c1453dfa839911f5ce51b2bb3f1a374a577e6decbf45aa0029f","sha256:fd38e7fb497dad8cab31e065a483b223d335f54e8b4dc1720ded9672108f3790"],"state_sha256":"3aa457cb9068c2ad425f248ffb9e213c38a077472b5426e4aabebf2aa559708b"}