{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:TDUGDSRMZYWPISKJ3FSJUC5P63","short_pith_number":"pith:TDUGDSRM","schema_version":"1.0","canonical_sha256":"98e861ca2cce2cf44949d9649a0baff6d5e4f3721d27a00072571148ba1b8800","source":{"kind":"arxiv","id":"1212.3161","version":3},"attestation_state":"computed","paper":{"title":"Asymptotics of analytic torsion for hyperbolic three--manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.DG","authors_text":"Jean Raimbault","submitted_at":"2012-12-13T13:00:08Z","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."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1212.3161","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-12-13T13:00:08Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"0e67b6b0a1b619f50e05beef3698752e62568149b070ae0d50cc5128491b4439","abstract_canon_sha256":"a28f72452d75d3ec97f0de68c16415c888fa440efb9c08ba12e2f278f408bc42"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:46.371630Z","signature_b64":"iN7R/BZpmOiBnbJEyglrK/ZlrrJZykvyjXHBvG+IadrHKr0bXIIqryyDYO25eNyELsf+LrEgCOkffKKazAk8Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98e861ca2cce2cf44949d9649a0baff6d5e4f3721d27a00072571148ba1b8800","last_reissued_at":"2026-05-18T00:23:46.371163Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:46.371163Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotics of analytic torsion for hyperbolic three--manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.DG","authors_text":"Jean Raimbault","submitted_at":"2012-12-13T13:00:08Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.3161","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1212.3161","created_at":"2026-05-18T00:23:46.371218+00:00"},{"alias_kind":"arxiv_version","alias_value":"1212.3161v3","created_at":"2026-05-18T00:23:46.371218+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.3161","created_at":"2026-05-18T00:23:46.371218+00:00"},{"alias_kind":"pith_short_12","alias_value":"TDUGDSRMZYWP","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_16","alias_value":"TDUGDSRMZYWPISKJ","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_8","alias_value":"TDUGDSRM","created_at":"2026-05-18T12:27:23.164592+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TDUGDSRMZYWPISKJ3FSJUC5P63","json":"https://pith.science/pith/TDUGDSRMZYWPISKJ3FSJUC5P63.json","graph_json":"https://pith.science/api/pith-number/TDUGDSRMZYWPISKJ3FSJUC5P63/graph.json","events_json":"https://pith.science/api/pith-number/TDUGDSRMZYWPISKJ3FSJUC5P63/events.json","paper":"https://pith.science/paper/TDUGDSRM"},"agent_actions":{"view_html":"https://pith.science/pith/TDUGDSRMZYWPISKJ3FSJUC5P63","download_json":"https://pith.science/pith/TDUGDSRMZYWPISKJ3FSJUC5P63.json","view_paper":"https://pith.science/paper/TDUGDSRM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1212.3161&json=true","fetch_graph":"https://pith.science/api/pith-number/TDUGDSRMZYWPISKJ3FSJUC5P63/graph.json","fetch_events":"https://pith.science/api/pith-number/TDUGDSRMZYWPISKJ3FSJUC5P63/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TDUGDSRMZYWPISKJ3FSJUC5P63/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TDUGDSRMZYWPISKJ3FSJUC5P63/action/storage_attestation","attest_author":"https://pith.science/pith/TDUGDSRMZYWPISKJ3FSJUC5P63/action/author_attestation","sign_citation":"https://pith.science/pith/TDUGDSRMZYWPISKJ3FSJUC5P63/action/citation_signature","submit_replication":"https://pith.science/pith/TDUGDSRMZYWPISKJ3FSJUC5P63/action/replication_record"}},"created_at":"2026-05-18T00:23:46.371218+00:00","updated_at":"2026-05-18T00:23:46.371218+00:00"}