{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:2JTN3TU2XXZJOGKZDTF3SIGNI6","short_pith_number":"pith:2JTN3TU2","schema_version":"1.0","canonical_sha256":"d266ddce9abdf29719591ccbb920cd47a01f4864bee3079625c2b255a898398d","source":{"kind":"arxiv","id":"2412.00041","version":1},"attestation_state":"computed","paper":{"title":"Analytic torsion for irreducible holomorphic symplectic fourfolds with involution, III: relation with the BCOV invariant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Dai Imaike","submitted_at":"2024-11-22T12:34:28Z","abstract_excerpt":"A Calabi-Yau 4-fold of Camere-Garbagnati-Mongardi is a crepant resolution of the quotient of a hyperk\\\"ahler 4-fold by an antisymplectic involution. In this paper, we compare two different types of holomorphic torsion invariants; one is the BCOV invariant of the Calabi-Yau 4-fold of Camere-Garbagnati-Mongardi, and the other is the invariant of the corresponding $K3^{[2]}$-type manifold with involution introduced by the author in the preceding papers. As an application, in some special cases, we show that the BCOV invariant of those Calabi-Yau 4-folds is expressed as the Petersson norm of a cer"},"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":"2412.00041","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-11-22T12:34:28Z","cross_cats_sorted":[],"title_canon_sha256":"bf388791fd778cdb82f908acfd74635ddd2e8815ffb3e55be9a3570320eb18b8","abstract_canon_sha256":"b07f6e8c403bbd9f6e756dd57677fb52c9ce5bfa721a6d0aa3d8800e320ba413"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:42:35.100628Z","signature_b64":"ud+iW0yjphrr5FsWVSpuE9AsRQ8KIZ5f2Bg0cqMx5sj4Xas6DUnkKi4WPG/Zr8OFwgUgoK4/gu6/il+ygvCbDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d266ddce9abdf29719591ccbb920cd47a01f4864bee3079625c2b255a898398d","last_reissued_at":"2026-07-05T09:42:35.099755Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:42:35.099755Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analytic torsion for irreducible holomorphic symplectic fourfolds with involution, III: relation with the BCOV invariant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Dai Imaike","submitted_at":"2024-11-22T12:34:28Z","abstract_excerpt":"A Calabi-Yau 4-fold of Camere-Garbagnati-Mongardi is a crepant resolution of the quotient of a hyperk\\\"ahler 4-fold by an antisymplectic involution. In this paper, we compare two different types of holomorphic torsion invariants; one is the BCOV invariant of the Calabi-Yau 4-fold of Camere-Garbagnati-Mongardi, and the other is the invariant of the corresponding $K3^{[2]}$-type manifold with involution introduced by the author in the preceding papers. As an application, in some special cases, we show that the BCOV invariant of those Calabi-Yau 4-folds is expressed as the Petersson norm of a cer"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.00041","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.00041/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":"2412.00041","created_at":"2026-07-05T09:42:35.100030+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.00041v1","created_at":"2026-07-05T09:42:35.100030+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.00041","created_at":"2026-07-05T09:42:35.100030+00:00"},{"alias_kind":"pith_short_12","alias_value":"2JTN3TU2XXZJ","created_at":"2026-07-05T09:42:35.100030+00:00"},{"alias_kind":"pith_short_16","alias_value":"2JTN3TU2XXZJOGKZ","created_at":"2026-07-05T09:42:35.100030+00:00"},{"alias_kind":"pith_short_8","alias_value":"2JTN3TU2","created_at":"2026-07-05T09:42:35.100030+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/2JTN3TU2XXZJOGKZDTF3SIGNI6","json":"https://pith.science/pith/2JTN3TU2XXZJOGKZDTF3SIGNI6.json","graph_json":"https://pith.science/api/pith-number/2JTN3TU2XXZJOGKZDTF3SIGNI6/graph.json","events_json":"https://pith.science/api/pith-number/2JTN3TU2XXZJOGKZDTF3SIGNI6/events.json","paper":"https://pith.science/paper/2JTN3TU2"},"agent_actions":{"view_html":"https://pith.science/pith/2JTN3TU2XXZJOGKZDTF3SIGNI6","download_json":"https://pith.science/pith/2JTN3TU2XXZJOGKZDTF3SIGNI6.json","view_paper":"https://pith.science/paper/2JTN3TU2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.00041&json=true","fetch_graph":"https://pith.science/api/pith-number/2JTN3TU2XXZJOGKZDTF3SIGNI6/graph.json","fetch_events":"https://pith.science/api/pith-number/2JTN3TU2XXZJOGKZDTF3SIGNI6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2JTN3TU2XXZJOGKZDTF3SIGNI6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2JTN3TU2XXZJOGKZDTF3SIGNI6/action/storage_attestation","attest_author":"https://pith.science/pith/2JTN3TU2XXZJOGKZDTF3SIGNI6/action/author_attestation","sign_citation":"https://pith.science/pith/2JTN3TU2XXZJOGKZDTF3SIGNI6/action/citation_signature","submit_replication":"https://pith.science/pith/2JTN3TU2XXZJOGKZDTF3SIGNI6/action/replication_record"}},"created_at":"2026-07-05T09:42:35.100030+00:00","updated_at":"2026-07-05T09:42:35.100030+00:00"}