{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:TDUGDSRMZYWPISKJ3FSJUC5P63","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":"a28f72452d75d3ec97f0de68c16415c888fa440efb9c08ba12e2f278f408bc42","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-12-13T13:00:08Z","title_canon_sha256":"0e67b6b0a1b619f50e05beef3698752e62568149b070ae0d50cc5128491b4439"},"schema_version":"1.0","source":{"id":"1212.3161","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.3161","created_at":"2026-05-18T00:23:46Z"},{"alias_kind":"arxiv_version","alias_value":"1212.3161v3","created_at":"2026-05-18T00:23:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.3161","created_at":"2026-05-18T00:23:46Z"},{"alias_kind":"pith_short_12","alias_value":"TDUGDSRMZYWP","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TDUGDSRMZYWPISKJ","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TDUGDSRM","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:2ef9e01b62dfe96f1a5e1a2e2f05ce0c52dd4bed881c2ab9645993c3a16ac1cf","target":"graph","created_at":"2026-05-18T00:23:46Z","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 prove that for certain sequences of hyperbolic three--manifolds with cusps which converge to hyperbolic three--space in a weak (\"Benjamini-Schramm\") sense and certain coefficient systems the regularized analytic torsion approximates the $L^2$-torsion of the universal cover under an additional hypothesis. We also prove an asymptotic equality between the former and some Reidemeister torsion of the truncated manifolds.","authors_text":"Jean Raimbault","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-12-13T13:00:08Z","title":"Asymptotics of analytic torsion for hyperbolic three--manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.3161","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":"sha256:778e10e2776b36340c9ddce519e2942d9b5aceec10fe031adf5a2e1b5753e19f","target":"record","created_at":"2026-05-18T00:23:46Z","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":"a28f72452d75d3ec97f0de68c16415c888fa440efb9c08ba12e2f278f408bc42","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-12-13T13:00:08Z","title_canon_sha256":"0e67b6b0a1b619f50e05beef3698752e62568149b070ae0d50cc5128491b4439"},"schema_version":"1.0","source":{"id":"1212.3161","kind":"arxiv","version":3}},"canonical_sha256":"98e861ca2cce2cf44949d9649a0baff6d5e4f3721d27a00072571148ba1b8800","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98e861ca2cce2cf44949d9649a0baff6d5e4f3721d27a00072571148ba1b8800","first_computed_at":"2026-05-18T00:23:46.371163Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:46.371163Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iN7R/BZpmOiBnbJEyglrK/ZlrrJZykvyjXHBvG+IadrHKr0bXIIqryyDYO25eNyELsf+LrEgCOkffKKazAk8Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:46.371630Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.3161","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:778e10e2776b36340c9ddce519e2942d9b5aceec10fe031adf5a2e1b5753e19f","sha256:2ef9e01b62dfe96f1a5e1a2e2f05ce0c52dd4bed881c2ab9645993c3a16ac1cf"],"state_sha256":"8e6d268d33e32902471e2385c79f23f63299a5e2108f384a8cd722fd6be665b4"}