{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:WUKIMLLKMNAJG5DBFWLP2Y2TTU","short_pith_number":"pith:WUKIMLLK","schema_version":"1.0","canonical_sha256":"b514862d6a63409374612d96fd63539d376ef0f4db4f865df6d26e5709a83484","source":{"kind":"arxiv","id":"1208.1566","version":1},"attestation_state":"computed","paper":{"title":"The comparison of two constructions of the refined analytic torsion on compact manifolds with boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Rung-Tzung Huang, Yoonweon Lee","submitted_at":"2012-08-08T02:41:47Z","abstract_excerpt":"The refined analytic torsion on compact Riemannian manifolds with boundary has been discussed by B. Vertman and the authors, but these two constructions are completely different. Vertman used a double of de Rham complex consisting of the minimal and maximal closed extensions of a flat connection and the authors used well-posed boundary conditions ${\\mathcal P}_{-, {\\mathcal L}_{0}}$, ${\\mathcal P}_{+, {\\mathcal L}_{1}}$ for the odd signature operator. In this paper we compare these two constructions by using the BFK-gluing formula for zeta-determinants, the adiabatic method for stretching cyli"},"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":"1208.1566","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-08-08T02:41:47Z","cross_cats_sorted":[],"title_canon_sha256":"44332ffefa2ee37c72d28575bfd0990d4d5fc284dfc4565de108ed6c4003942a","abstract_canon_sha256":"1082f4a74da3dc1fdbab43edaa58f9e8665a78e39b07ac987a7401cff4c11fb3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:48:35.781781Z","signature_b64":"0IDiZVZdNFpeVfhhcAfyRZhU0im9bxPu4zXjYEqQ/bpK65p+ZHZhK8N8i74uX3Yqj99CFC6LsPK3A3b8CtwFDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b514862d6a63409374612d96fd63539d376ef0f4db4f865df6d26e5709a83484","last_reissued_at":"2026-05-18T03:48:35.781353Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:48:35.781353Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The comparison of two constructions of the refined analytic torsion on compact manifolds with boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Rung-Tzung Huang, Yoonweon Lee","submitted_at":"2012-08-08T02:41:47Z","abstract_excerpt":"The refined analytic torsion on compact Riemannian manifolds with boundary has been discussed by B. Vertman and the authors, but these two constructions are completely different. Vertman used a double of de Rham complex consisting of the minimal and maximal closed extensions of a flat connection and the authors used well-posed boundary conditions ${\\mathcal P}_{-, {\\mathcal L}_{0}}$, ${\\mathcal P}_{+, {\\mathcal L}_{1}}$ for the odd signature operator. In this paper we compare these two constructions by using the BFK-gluing formula for zeta-determinants, the adiabatic method for stretching cyli"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.1566","kind":"arxiv","version":1},"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":"1208.1566","created_at":"2026-05-18T03:48:35.781421+00:00"},{"alias_kind":"arxiv_version","alias_value":"1208.1566v1","created_at":"2026-05-18T03:48:35.781421+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.1566","created_at":"2026-05-18T03:48:35.781421+00:00"},{"alias_kind":"pith_short_12","alias_value":"WUKIMLLKMNAJ","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_16","alias_value":"WUKIMLLKMNAJG5DB","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_8","alias_value":"WUKIMLLK","created_at":"2026-05-18T12:27:27.928770+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/WUKIMLLKMNAJG5DBFWLP2Y2TTU","json":"https://pith.science/pith/WUKIMLLKMNAJG5DBFWLP2Y2TTU.json","graph_json":"https://pith.science/api/pith-number/WUKIMLLKMNAJG5DBFWLP2Y2TTU/graph.json","events_json":"https://pith.science/api/pith-number/WUKIMLLKMNAJG5DBFWLP2Y2TTU/events.json","paper":"https://pith.science/paper/WUKIMLLK"},"agent_actions":{"view_html":"https://pith.science/pith/WUKIMLLKMNAJG5DBFWLP2Y2TTU","download_json":"https://pith.science/pith/WUKIMLLKMNAJG5DBFWLP2Y2TTU.json","view_paper":"https://pith.science/paper/WUKIMLLK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1208.1566&json=true","fetch_graph":"https://pith.science/api/pith-number/WUKIMLLKMNAJG5DBFWLP2Y2TTU/graph.json","fetch_events":"https://pith.science/api/pith-number/WUKIMLLKMNAJG5DBFWLP2Y2TTU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WUKIMLLKMNAJG5DBFWLP2Y2TTU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WUKIMLLKMNAJG5DBFWLP2Y2TTU/action/storage_attestation","attest_author":"https://pith.science/pith/WUKIMLLKMNAJG5DBFWLP2Y2TTU/action/author_attestation","sign_citation":"https://pith.science/pith/WUKIMLLKMNAJG5DBFWLP2Y2TTU/action/citation_signature","submit_replication":"https://pith.science/pith/WUKIMLLKMNAJG5DBFWLP2Y2TTU/action/replication_record"}},"created_at":"2026-05-18T03:48:35.781421+00:00","updated_at":"2026-05-18T03:48:35.781421+00:00"}