{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:ZBKVG2CJW2AGJDYC6BKNGBOEXJ","short_pith_number":"pith:ZBKVG2CJ","schema_version":"1.0","canonical_sha256":"c855536849b680648f02f054d305c4ba4abed0187a700a19e7e9ea1dc4d78c1b","source":{"kind":"arxiv","id":"1702.07886","version":4},"attestation_state":"computed","paper":{"title":"K\\\"ahler forms for families of Calabi-Yau manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Georg Schumacher, Matthias Braun, Young-Jun Choi","submitted_at":"2017-02-25T12:52:52Z","abstract_excerpt":"K\\\"ahler-Einstein metrics for polarized families of Calabi-Yau manifolds define a natural hermitian metric on the relative canonical bundle. The fact that the curvature form is equal to the pull-back of the Weil-Petersson form up to a numerical constant is being used for the construction of a K\\\"ahler form on the total space of a given family, whose restriction to the fibers is Ricci flat."},"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":"1702.07886","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-02-25T12:52:52Z","cross_cats_sorted":[],"title_canon_sha256":"51f0455ec809fe1b78444cadf342d304555924c040ede2959fa58d53b44d3977","abstract_canon_sha256":"56a79daa9b134abd786ef76cce91c9c9591831c3a5128b3ce47c8339849160ba"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:00.434452Z","signature_b64":"tTO5atiUZ1yJTfo0NYKqy3MGzZ17hwzlzMQHsxZ6XcZCSMT8Wg7dBlAkSBMB0zWkM92ahPFshCh//khJrWpcAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c855536849b680648f02f054d305c4ba4abed0187a700a19e7e9ea1dc4d78c1b","last_reissued_at":"2026-05-17T23:56:00.433856Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:00.433856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"K\\\"ahler forms for families of Calabi-Yau manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Georg Schumacher, Matthias Braun, Young-Jun Choi","submitted_at":"2017-02-25T12:52:52Z","abstract_excerpt":"K\\\"ahler-Einstein metrics for polarized families of Calabi-Yau manifolds define a natural hermitian metric on the relative canonical bundle. The fact that the curvature form is equal to the pull-back of the Weil-Petersson form up to a numerical constant is being used for the construction of a K\\\"ahler form on the total space of a given family, whose restriction to the fibers is Ricci flat."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07886","kind":"arxiv","version":4},"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":"1702.07886","created_at":"2026-05-17T23:56:00.433951+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.07886v4","created_at":"2026-05-17T23:56:00.433951+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07886","created_at":"2026-05-17T23:56:00.433951+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZBKVG2CJW2AG","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZBKVG2CJW2AGJDYC","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZBKVG2CJ","created_at":"2026-05-18T12:31:59.375834+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/ZBKVG2CJW2AGJDYC6BKNGBOEXJ","json":"https://pith.science/pith/ZBKVG2CJW2AGJDYC6BKNGBOEXJ.json","graph_json":"https://pith.science/api/pith-number/ZBKVG2CJW2AGJDYC6BKNGBOEXJ/graph.json","events_json":"https://pith.science/api/pith-number/ZBKVG2CJW2AGJDYC6BKNGBOEXJ/events.json","paper":"https://pith.science/paper/ZBKVG2CJ"},"agent_actions":{"view_html":"https://pith.science/pith/ZBKVG2CJW2AGJDYC6BKNGBOEXJ","download_json":"https://pith.science/pith/ZBKVG2CJW2AGJDYC6BKNGBOEXJ.json","view_paper":"https://pith.science/paper/ZBKVG2CJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.07886&json=true","fetch_graph":"https://pith.science/api/pith-number/ZBKVG2CJW2AGJDYC6BKNGBOEXJ/graph.json","fetch_events":"https://pith.science/api/pith-number/ZBKVG2CJW2AGJDYC6BKNGBOEXJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZBKVG2CJW2AGJDYC6BKNGBOEXJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZBKVG2CJW2AGJDYC6BKNGBOEXJ/action/storage_attestation","attest_author":"https://pith.science/pith/ZBKVG2CJW2AGJDYC6BKNGBOEXJ/action/author_attestation","sign_citation":"https://pith.science/pith/ZBKVG2CJW2AGJDYC6BKNGBOEXJ/action/citation_signature","submit_replication":"https://pith.science/pith/ZBKVG2CJW2AGJDYC6BKNGBOEXJ/action/replication_record"}},"created_at":"2026-05-17T23:56:00.433951+00:00","updated_at":"2026-05-17T23:56:00.433951+00:00"}