{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:TEMKO6JIVLUJN4XVZ376VHJZHJ","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":"7831d289497ea2d229329032b91b15a7aa0698450ec658b0cd27009e832505c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2011-10-18T17:37:51Z","title_canon_sha256":"b333d9726117b3a274ca94d065233468ded3575cf4f28cc3006f1b11e854d802"},"schema_version":"1.0","source":{"id":"1110.4065","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.4065","created_at":"2026-05-18T04:10:47Z"},{"alias_kind":"arxiv_version","alias_value":"1110.4065v1","created_at":"2026-05-18T04:10:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.4065","created_at":"2026-05-18T04:10:47Z"},{"alias_kind":"pith_short_12","alias_value":"TEMKO6JIVLUJ","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TEMKO6JIVLUJN4XV","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TEMKO6JI","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:60795e3c692b05bc4408a0c6510e7f599c769eb7f34db2ad4c4f5187db8e27d2","target":"graph","created_at":"2026-05-18T04:10:47Z","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 define the analytic torsion for a complete oriented hyperbolic manifold of finite volume. It depends on a representation of the fundamental group. For manifolds of odd dimension, we study the asymptotic behavior of the analytic torsion with respect to certain sequences of representations obtained by restriction of irreducible representations of the group of isometries of the hyperbolic space to the fundamental group.","authors_text":"Jonathan Pfaff, Werner Mueller","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2011-10-18T17:37:51Z","title":"Analytic torsion of complete hyperbolic manifolds of finite volume"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.4065","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":"sha256:2132198987bd4eb26a038744277e0884ba92f40d3c6bd876c431cafb87d7095b","target":"record","created_at":"2026-05-18T04:10:47Z","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":"7831d289497ea2d229329032b91b15a7aa0698450ec658b0cd27009e832505c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2011-10-18T17:37:51Z","title_canon_sha256":"b333d9726117b3a274ca94d065233468ded3575cf4f28cc3006f1b11e854d802"},"schema_version":"1.0","source":{"id":"1110.4065","kind":"arxiv","version":1}},"canonical_sha256":"9918a77928aae896f2f5ceffea9d393a6637736b14dd84ab9d60a8bbbc9f3628","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9918a77928aae896f2f5ceffea9d393a6637736b14dd84ab9d60a8bbbc9f3628","first_computed_at":"2026-05-18T04:10:47.429441Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:47.429441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zrG48TcM5YsHGRacSsGu9LpHhshIqESt/JclCrUj/T7sbZOf/UU8VL+oDLQR6QSLn4qUbOeRe1asr2zSuRgiCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:47.429832Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.4065","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2132198987bd4eb26a038744277e0884ba92f40d3c6bd876c431cafb87d7095b","sha256:60795e3c692b05bc4408a0c6510e7f599c769eb7f34db2ad4c4f5187db8e27d2"],"state_sha256":"38544c71f8b17373cf2a6836cde1963050c8a9cc7bdd32d8c143d1def4d570dd"}