{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:OML2UVTHINOSO3GCTOZXOWO7EL","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":"1b42c3fe03ed42ab75e0271276648c12b59ca396dc2cff1f29e858d43c1c4883","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-04-30T20:30:25Z","title_canon_sha256":"d7fcab6f4fd4f95b13a9f9646f4c16515748c19949d425e4059e655e4d5e20d2"},"schema_version":"1.0","source":{"id":"1405.0025","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.0025","created_at":"2026-05-18T01:13:38Z"},{"alias_kind":"arxiv_version","alias_value":"1405.0025v1","created_at":"2026-05-18T01:13:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0025","created_at":"2026-05-18T01:13:38Z"},{"alias_kind":"pith_short_12","alias_value":"OML2UVTHINOS","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"OML2UVTHINOSO3GC","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"OML2UVTH","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:9c829e48fb459242a39070f5a71573767c478ead83e5b832a2ea3f48b27c8bcb","target":"graph","created_at":"2026-05-18T01:13:38Z","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 define Ptolemy coordinates for representations that are not necessarily boundary-unipotent. This gives rise to a new algorithm for computing the SL(2,C) A-polynomial, and more generally the SL(n,C) A-varieties. We also give a formula for the Dehn invariant of an SL(n,C)-representation.","authors_text":"Christian K. Zickert","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-04-30T20:30:25Z","title":"Ptolemy coordinates, Dehn invariant, and the A-polynomial"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0025","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:ac3f4dbadb1b994f47eb41fe5624df8706ad257b77aa7f1e4cb4ed7ccf98feef","target":"record","created_at":"2026-05-18T01:13:38Z","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":"1b42c3fe03ed42ab75e0271276648c12b59ca396dc2cff1f29e858d43c1c4883","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-04-30T20:30:25Z","title_canon_sha256":"d7fcab6f4fd4f95b13a9f9646f4c16515748c19949d425e4059e655e4d5e20d2"},"schema_version":"1.0","source":{"id":"1405.0025","kind":"arxiv","version":1}},"canonical_sha256":"7317aa5667435d276cc29bb37759df22fec4e75af8be912795878d5ab67a7560","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7317aa5667435d276cc29bb37759df22fec4e75af8be912795878d5ab67a7560","first_computed_at":"2026-05-18T01:13:38.377946Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:38.377946Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L4voeUD72RDcoFjQdRGHh9zQbcloqDThkTfhfLy6AqUq2geD6yEcsMYYHRwl49o3GOe+hv4ol/dYxeVVpdDTDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:38.378412Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.0025","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac3f4dbadb1b994f47eb41fe5624df8706ad257b77aa7f1e4cb4ed7ccf98feef","sha256:9c829e48fb459242a39070f5a71573767c478ead83e5b832a2ea3f48b27c8bcb"],"state_sha256":"15340cf3e154a50d0df5368eb72a05fb5221a0b6376f65eb8286bc85f658fbc7"}