{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:6RMNO4ZVY2TDQXPVZJL34FU2LF","short_pith_number":"pith:6RMNO4ZV","canonical_record":{"source":{"id":"1110.3718","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-10-17T16:15:24Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"085c19d0d0b9a77f4c62696280e66f4ed2fa5ba783c44adad3049b0124411997","abstract_canon_sha256":"b5fd615930810716e6da5b8ef06c42869426a5674d5f537fb7e6c31a9f411ee9"},"schema_version":"1.0"},"canonical_sha256":"f458d77335c6a6385df5ca57be169a594cfd816aa588677014960159cc15c462","source":{"kind":"arxiv","id":"1110.3718","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.3718","created_at":"2026-05-18T02:58:00Z"},{"alias_kind":"arxiv_version","alias_value":"1110.3718v2","created_at":"2026-05-18T02:58:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.3718","created_at":"2026-05-18T02:58:00Z"},{"alias_kind":"pith_short_12","alias_value":"6RMNO4ZVY2TD","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6RMNO4ZVY2TDQXPV","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6RMNO4ZV","created_at":"2026-05-18T12:26:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:6RMNO4ZVY2TDQXPVZJL34FU2LF","target":"record","payload":{"canonical_record":{"source":{"id":"1110.3718","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-10-17T16:15:24Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"085c19d0d0b9a77f4c62696280e66f4ed2fa5ba783c44adad3049b0124411997","abstract_canon_sha256":"b5fd615930810716e6da5b8ef06c42869426a5674d5f537fb7e6c31a9f411ee9"},"schema_version":"1.0"},"canonical_sha256":"f458d77335c6a6385df5ca57be169a594cfd816aa588677014960159cc15c462","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:00.338072Z","signature_b64":"DVqis0ChDF7FmqZlKW3MbRgJJKGDcRa0ORQUzMg19usUKH/NHlYfAfOduuMGWasUBGwTje/cXfw5g9esojKqDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f458d77335c6a6385df5ca57be169a594cfd816aa588677014960159cc15c462","last_reissued_at":"2026-05-18T02:58:00.337473Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:00.337473Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.3718","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:58:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rz7AUmwBayp42gIrt/OLNG2KLSLGImXfur9vq5j97Hv4G+jwHrpR/1w5O39mr7AfgbfdnRtb4a0S9gefjvcCDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T11:13:54.093797Z"},"content_sha256":"785a95bb2883bd214cf9002022912851ae7b4578bc02ddd3a1c2f1a39f02d174","schema_version":"1.0","event_id":"sha256:785a95bb2883bd214cf9002022912851ae7b4578bc02ddd3a1c2f1a39f02d174"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:6RMNO4ZVY2TDQXPVZJL34FU2LF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Higher dimensional Reidemeister torsion invariants for cusped hyperbolic 3-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.GT","authors_text":"Joan Porti, Pere Menal-Ferrer","submitted_at":"2011-10-17T16:15:24Z","abstract_excerpt":"For an oriented finite volume hyperbolic 3-manifold M with a fixed spin structure \\eta, we consider a sequence of invariants {\\tau_n(M; \\eta)}. Roughly speaking, {\\tau_n(M; \\eta)} is the Reidemeister torsion of M with respect to the representation given by the composition of the lift of the holonomy representation defined by \\eta, and the n-dimensional, irreducible, complex representation of SL(2,C). In the present work, we focus on two aspects of this invariant: its asymptotic behavior and its relationship with the complex-length spectrum of the manifold. Concerning the former, we prove that "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.3718","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:58:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mM/zLRBctcTVx5SmZfR9FskkwkbOkobtVpzucG/gPYf2jk/2AuNZJJfBvTffzclJHSDkxmTygKgfjDnvlcpzCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T11:13:54.094426Z"},"content_sha256":"1e64c7e2dd6d7978257721f269c246d642971a264caa9e9da784c45acbf01b48","schema_version":"1.0","event_id":"sha256:1e64c7e2dd6d7978257721f269c246d642971a264caa9e9da784c45acbf01b48"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6RMNO4ZVY2TDQXPVZJL34FU2LF/bundle.json","state_url":"https://pith.science/pith/6RMNO4ZVY2TDQXPVZJL34FU2LF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6RMNO4ZVY2TDQXPVZJL34FU2LF/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-06T11:13:54Z","links":{"resolver":"https://pith.science/pith/6RMNO4ZVY2TDQXPVZJL34FU2LF","bundle":"https://pith.science/pith/6RMNO4ZVY2TDQXPVZJL34FU2LF/bundle.json","state":"https://pith.science/pith/6RMNO4ZVY2TDQXPVZJL34FU2LF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6RMNO4ZVY2TDQXPVZJL34FU2LF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:6RMNO4ZVY2TDQXPVZJL34FU2LF","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":"b5fd615930810716e6da5b8ef06c42869426a5674d5f537fb7e6c31a9f411ee9","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-10-17T16:15:24Z","title_canon_sha256":"085c19d0d0b9a77f4c62696280e66f4ed2fa5ba783c44adad3049b0124411997"},"schema_version":"1.0","source":{"id":"1110.3718","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.3718","created_at":"2026-05-18T02:58:00Z"},{"alias_kind":"arxiv_version","alias_value":"1110.3718v2","created_at":"2026-05-18T02:58:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.3718","created_at":"2026-05-18T02:58:00Z"},{"alias_kind":"pith_short_12","alias_value":"6RMNO4ZVY2TD","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6RMNO4ZVY2TDQXPV","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6RMNO4ZV","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:1e64c7e2dd6d7978257721f269c246d642971a264caa9e9da784c45acbf01b48","target":"graph","created_at":"2026-05-18T02:58:00Z","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":"For an oriented finite volume hyperbolic 3-manifold M with a fixed spin structure \\eta, we consider a sequence of invariants {\\tau_n(M; \\eta)}. Roughly speaking, {\\tau_n(M; \\eta)} is the Reidemeister torsion of M with respect to the representation given by the composition of the lift of the holonomy representation defined by \\eta, and the n-dimensional, irreducible, complex representation of SL(2,C). In the present work, we focus on two aspects of this invariant: its asymptotic behavior and its relationship with the complex-length spectrum of the manifold. Concerning the former, we prove that ","authors_text":"Joan Porti, Pere Menal-Ferrer","cross_cats":["math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-10-17T16:15:24Z","title":"Higher dimensional Reidemeister torsion invariants for cusped hyperbolic 3-manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.3718","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":"sha256:785a95bb2883bd214cf9002022912851ae7b4578bc02ddd3a1c2f1a39f02d174","target":"record","created_at":"2026-05-18T02:58:00Z","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":"b5fd615930810716e6da5b8ef06c42869426a5674d5f537fb7e6c31a9f411ee9","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-10-17T16:15:24Z","title_canon_sha256":"085c19d0d0b9a77f4c62696280e66f4ed2fa5ba783c44adad3049b0124411997"},"schema_version":"1.0","source":{"id":"1110.3718","kind":"arxiv","version":2}},"canonical_sha256":"f458d77335c6a6385df5ca57be169a594cfd816aa588677014960159cc15c462","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f458d77335c6a6385df5ca57be169a594cfd816aa588677014960159cc15c462","first_computed_at":"2026-05-18T02:58:00.337473Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:00.337473Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DVqis0ChDF7FmqZlKW3MbRgJJKGDcRa0ORQUzMg19usUKH/NHlYfAfOduuMGWasUBGwTje/cXfw5g9esojKqDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:00.338072Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.3718","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:785a95bb2883bd214cf9002022912851ae7b4578bc02ddd3a1c2f1a39f02d174","sha256:1e64c7e2dd6d7978257721f269c246d642971a264caa9e9da784c45acbf01b48"],"state_sha256":"f56cb4fbba81408dbf0fd1876cb584b981582db0b0dabb243817d4f153204610"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8KrsgdzAvpd5H8oLRP7ioQZOGSx7D06TB+UMkg9T+iVnMbUcFf67YxzCPl/A8SLHdr1pPktqRzCW0bMEm/TLDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T11:13:54.097501Z","bundle_sha256":"4005905b0faab9b3c99801315a443879b6b3fc5efefdd535e067385ad2c74129"}}