{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7LFYEZSBTQGPZCWJTKYZF3HR6C","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":"1f07a29501d9f13ea7f99f59c88a7a6572de4c42ec0c4a6a99b00e1731c4aead","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-11-02T07:35:16Z","title_canon_sha256":"dd56041f51416ec955e073f2a2212e6c4e9713394d867512b96fbb806b413f65"},"schema_version":"1.0","source":{"id":"1511.00400","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.00400","created_at":"2026-05-18T01:13:37Z"},{"alias_kind":"arxiv_version","alias_value":"1511.00400v2","created_at":"2026-05-18T01:13:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.00400","created_at":"2026-05-18T01:13:37Z"},{"alias_kind":"pith_short_12","alias_value":"7LFYEZSBTQGP","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7LFYEZSBTQGPZCWJ","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7LFYEZSB","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:53bc44566f07b1ab711753f376c24dcf576f186a3a752a5681e41581cbe915af","target":"graph","created_at":"2026-05-18T01:13:37Z","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":"This is a survey on Reidemeister torsion for hyperbolic three-manifolds of finite volume. Torsions are viewed as topological invariants and also as functions on the variety of representations in $\\operatorname{ SL}_2(\\mathbb C)$. In both cases, the torsions may also be computed after composing with finite dimensional representations of $\\operatorname{ SL}_2(\\mathbb C)$. In addition the paper deals with the torsion of the adjoint representation as a function on the variety of $\\operatorname{ PSL}_{n+1}(\\mathbb C)$-characters, using that the first cohomology group with coefficients twisted by th","authors_text":"Joan Porti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-11-02T07:35:16Z","title":"Reidemeister torsion, hyperbolic three-manifolds, and character varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.00400","kind":"arxiv","version":2},"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:b50b5bf9b7547585ba9233d585bc51bf1648a22a8a84499ccb8073df4268504d","target":"record","created_at":"2026-05-18T01:13:37Z","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":"1f07a29501d9f13ea7f99f59c88a7a6572de4c42ec0c4a6a99b00e1731c4aead","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-11-02T07:35:16Z","title_canon_sha256":"dd56041f51416ec955e073f2a2212e6c4e9713394d867512b96fbb806b413f65"},"schema_version":"1.0","source":{"id":"1511.00400","kind":"arxiv","version":2}},"canonical_sha256":"facb8266419c0cfc8ac99ab192ecf1f0a0e183eb53f96034b5a4149b1e12b834","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"facb8266419c0cfc8ac99ab192ecf1f0a0e183eb53f96034b5a4149b1e12b834","first_computed_at":"2026-05-18T01:13:37.937858Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:37.937858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GKBSZcxXBLbpyTIrbME6rDkfzFg2tXFRFiJRQQiuAQjD+DjTNJ+F34iseBsEwOqzvnQ6+dwZSIKAz67GjgDRCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:37.938641Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.00400","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b50b5bf9b7547585ba9233d585bc51bf1648a22a8a84499ccb8073df4268504d","sha256:53bc44566f07b1ab711753f376c24dcf576f186a3a752a5681e41581cbe915af"],"state_sha256":"99e9848058d88d26ae321ce1a203258c1ccca53040faa2167dabc9f0bbc62d21"}