{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:UOUJUUFD2UV7MNDMLQP7LE37ES","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":"36d52125e003df7a73e62300f856709cd22c82bd473fc7d4d55dbd10f143a39e","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-12-20T01:29:32Z","title_canon_sha256":"5d96a409bae845239c5fe85fbc356553abcb41cf643cc2b33327b3e3f5439b5b"},"schema_version":"1.0","source":{"id":"1612.06480","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.06480","created_at":"2026-05-18T00:54:25Z"},{"alias_kind":"arxiv_version","alias_value":"1612.06480v1","created_at":"2026-05-18T00:54:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.06480","created_at":"2026-05-18T00:54:25Z"},{"alias_kind":"pith_short_12","alias_value":"UOUJUUFD2UV7","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UOUJUUFD2UV7MNDM","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UOUJUUFD","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:02e62da456d4610f0d82ec23480d7a398a24eabc968ded3acae86e66f81f1a95","target":"graph","created_at":"2026-05-18T00:54:25Z","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":"In this paper, we prove an equality which involves Reidemeister torsion, complex volume, and Zograf infinite product for closed hyperbolic 3-manifolds.","authors_text":"Jinsung Park","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-12-20T01:29:32Z","title":"Reidemeister torsion, complex volume, and Zograf infinite product"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.06480","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:c4da1ab10fc978becbb72cbf0115695e7681f61c1252eb6ce11d8cb2cac344f6","target":"record","created_at":"2026-05-18T00:54:25Z","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":"36d52125e003df7a73e62300f856709cd22c82bd473fc7d4d55dbd10f143a39e","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-12-20T01:29:32Z","title_canon_sha256":"5d96a409bae845239c5fe85fbc356553abcb41cf643cc2b33327b3e3f5439b5b"},"schema_version":"1.0","source":{"id":"1612.06480","kind":"arxiv","version":1}},"canonical_sha256":"a3a89a50a3d52bf6346c5c1ff5937f249034712de2324ee07ba031eeff370c31","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3a89a50a3d52bf6346c5c1ff5937f249034712de2324ee07ba031eeff370c31","first_computed_at":"2026-05-18T00:54:25.712435Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:25.712435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k5uPil/L1v2SBCIqnLERzQrQr3MIHnh3QcQUuUd/HZVH9yCb6V+qLzIhzdh1oDfF2DZiRqf5PBT3GY0GBLGDAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:25.713099Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.06480","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4da1ab10fc978becbb72cbf0115695e7681f61c1252eb6ce11d8cb2cac344f6","sha256:02e62da456d4610f0d82ec23480d7a398a24eabc968ded3acae86e66f81f1a95"],"state_sha256":"b4572945f484949b8ff75bdcbc6c4161d929f6351764e34e191258e23f80bf3c"}