{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:KTI7ADEP6FM7GT5CKXZOY57C3S","short_pith_number":"pith:KTI7ADEP","schema_version":"1.0","canonical_sha256":"54d1f00c8ff159f34fa255f2ec77e2dcb4b2318b7bac564b01b699f6ea19e997","source":{"kind":"arxiv","id":"2304.00469","version":3},"attestation_state":"computed","paper":{"title":"1-loop equals torsion for fibered 3-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"math.GT","authors_text":"Nathan M. Dunfield, Seokbeom Yoon, Stavros Garoufalidis","submitted_at":"2023-04-02T06:53:15Z","abstract_excerpt":"In earlier work of two of the authors, two 1-loop polynomial invariants of cusped 3-manifolds were constructed using combinatorial data of ideal triangulations, and conjectured to be equal to the $\\mathbb{C}^2$ and the $\\mathbb{C}^3$-torsion polynomials. Here, we prove this conjecture for layered triangulations of fibered 3-manifolds with toroidal boundary, and we illustrate our theorems with exact computations of the 1-loop and the torsion polynomials. As further evidence for the conjecture, we confirm it for more than 6,600 nonfibered manifolds, and use this data to explore the extent to whi"},"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":"2304.00469","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2023-04-02T06:53:15Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"482214627d0d3ce706ca33f1c18c6ded43e475ab8a21917fa00992de8691f0e1","abstract_canon_sha256":"bcb7721576d1a917330485a196852d400493ddf54bf9343b1abe9892c695350b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:54:42.490620Z","signature_b64":"Snn/171UQiqIwlNLobB1wzz4Kywib1LtiJDMCcnHgf8Tz0w7Qir3jDNpMFT4/Uxk15sJTbcfy0zjZQo5xLvtCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"54d1f00c8ff159f34fa255f2ec77e2dcb4b2318b7bac564b01b699f6ea19e997","last_reissued_at":"2026-07-05T09:54:42.490267Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:54:42.490267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"1-loop equals torsion for fibered 3-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"math.GT","authors_text":"Nathan M. Dunfield, Seokbeom Yoon, Stavros Garoufalidis","submitted_at":"2023-04-02T06:53:15Z","abstract_excerpt":"In earlier work of two of the authors, two 1-loop polynomial invariants of cusped 3-manifolds were constructed using combinatorial data of ideal triangulations, and conjectured to be equal to the $\\mathbb{C}^2$ and the $\\mathbb{C}^3$-torsion polynomials. Here, we prove this conjecture for layered triangulations of fibered 3-manifolds with toroidal boundary, and we illustrate our theorems with exact computations of the 1-loop and the torsion polynomials. As further evidence for the conjecture, we confirm it for more than 6,600 nonfibered manifolds, and use this data to explore the extent to whi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.00469","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2304.00469/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2304.00469","created_at":"2026-07-05T09:54:42.490323+00:00"},{"alias_kind":"arxiv_version","alias_value":"2304.00469v3","created_at":"2026-07-05T09:54:42.490323+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.00469","created_at":"2026-07-05T09:54:42.490323+00:00"},{"alias_kind":"pith_short_12","alias_value":"KTI7ADEP6FM7","created_at":"2026-07-05T09:54:42.490323+00:00"},{"alias_kind":"pith_short_16","alias_value":"KTI7ADEP6FM7GT5C","created_at":"2026-07-05T09:54:42.490323+00:00"},{"alias_kind":"pith_short_8","alias_value":"KTI7ADEP","created_at":"2026-07-05T09:54:42.490323+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/KTI7ADEP6FM7GT5CKXZOY57C3S","json":"https://pith.science/pith/KTI7ADEP6FM7GT5CKXZOY57C3S.json","graph_json":"https://pith.science/api/pith-number/KTI7ADEP6FM7GT5CKXZOY57C3S/graph.json","events_json":"https://pith.science/api/pith-number/KTI7ADEP6FM7GT5CKXZOY57C3S/events.json","paper":"https://pith.science/paper/KTI7ADEP"},"agent_actions":{"view_html":"https://pith.science/pith/KTI7ADEP6FM7GT5CKXZOY57C3S","download_json":"https://pith.science/pith/KTI7ADEP6FM7GT5CKXZOY57C3S.json","view_paper":"https://pith.science/paper/KTI7ADEP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2304.00469&json=true","fetch_graph":"https://pith.science/api/pith-number/KTI7ADEP6FM7GT5CKXZOY57C3S/graph.json","fetch_events":"https://pith.science/api/pith-number/KTI7ADEP6FM7GT5CKXZOY57C3S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KTI7ADEP6FM7GT5CKXZOY57C3S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KTI7ADEP6FM7GT5CKXZOY57C3S/action/storage_attestation","attest_author":"https://pith.science/pith/KTI7ADEP6FM7GT5CKXZOY57C3S/action/author_attestation","sign_citation":"https://pith.science/pith/KTI7ADEP6FM7GT5CKXZOY57C3S/action/citation_signature","submit_replication":"https://pith.science/pith/KTI7ADEP6FM7GT5CKXZOY57C3S/action/replication_record"}},"created_at":"2026-07-05T09:54:42.490323+00:00","updated_at":"2026-07-05T09:54:42.490323+00:00"}