{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:BG3KI7GUQQYG4EY7DCD76UJUNF","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":"b1262d3136fedb4247b93b990290cd6ff09b13c2b5684eed21e52dd98243f392","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-05-01T16:38:08Z","title_canon_sha256":"d6c5dbd877640b09b193a8b10d1c7544c244fc1c0618c8103cfd8cab04a34c7e"},"schema_version":"1.0","source":{"id":"1805.00422","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.00422","created_at":"2026-05-18T00:17:02Z"},{"alias_kind":"arxiv_version","alias_value":"1805.00422v1","created_at":"2026-05-18T00:17:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.00422","created_at":"2026-05-18T00:17:02Z"},{"alias_kind":"pith_short_12","alias_value":"BG3KI7GUQQYG","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"BG3KI7GUQQYG4EY7","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"BG3KI7GU","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:968e5258bae4b219c7a5bfa18fcc4af35ef312c3bec92d923bb7abf042c14a8a","target":"graph","created_at":"2026-05-18T00:17:02Z","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 present the general theory of curves in conformal geometry using tractor calculus. This primarily involves a tractorial determination of distinguished parametrizations and relative and absolute conformal invariants of generic curves. The absolute conformal invariants are defined via a tractor analogue of the classical Frenet frame construction and then expressed in terms of relative ones. This approach applies likewise to conformal structures of any signature; in the case of indefinite signature we focus especially on the null curves. It also provides a conceptual tool for handling distingu","authors_text":"Josef \\v{S}ilhan, Vojt\\v{e}ch \\v{Z}\\'adn\\'ik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-05-01T16:38:08Z","title":"Conformal theory of curves with tractors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.00422","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":"sha256:74f3c41b704e9a1a3a539b673361b4fa4d0140a0c532cedbd13b3737aa81d9d3","target":"record","created_at":"2026-05-18T00:17:02Z","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":"b1262d3136fedb4247b93b990290cd6ff09b13c2b5684eed21e52dd98243f392","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-05-01T16:38:08Z","title_canon_sha256":"d6c5dbd877640b09b193a8b10d1c7544c244fc1c0618c8103cfd8cab04a34c7e"},"schema_version":"1.0","source":{"id":"1805.00422","kind":"arxiv","version":1}},"canonical_sha256":"09b6a47cd484306e131f1887ff5134695f8cf6cc2e0dc3366666f5c2b5f14386","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"09b6a47cd484306e131f1887ff5134695f8cf6cc2e0dc3366666f5c2b5f14386","first_computed_at":"2026-05-18T00:17:02.526950Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:02.526950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0Fil8ZazjNVELiYUP5dq2o1PRbVaYXMwma68awl30CsvYR18CEylDmNFrGTOK0vbBrsJfgb8U6RWGtvwpWupCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:02.527594Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.00422","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:74f3c41b704e9a1a3a539b673361b4fa4d0140a0c532cedbd13b3737aa81d9d3","sha256:968e5258bae4b219c7a5bfa18fcc4af35ef312c3bec92d923bb7abf042c14a8a"],"state_sha256":"0bf81df528ae69acd6959fbc729932880f71fb0503240ce75c4b4588620f02fa"}