{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:UTIMTWPENWTC5WAFPWTOY7IR7F","short_pith_number":"pith:UTIMTWPE","schema_version":"1.0","canonical_sha256":"a4d0c9d9e46da62ed8057da6ec7d11f969f7a0aba818075405a853c9eef1db00","source":{"kind":"arxiv","id":"math/0603414","version":2},"attestation_state":"computed","paper":{"title":"On the Geometry of Moduli Space of Polarized Calabi-Yau manifolds","license":"","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Michael Douglas, Zhiqin Lu","submitted_at":"2006-03-16T23:15:43Z","abstract_excerpt":"In this paper, we study the Chern classes on the moduli space of polarized Calabi-Yau manifolds. We prove that the integrations of the invariants of the curvature of the Weil-Petersson metric are finite. In some special cases, they are even rational numbers."},"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":"math/0603414","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2006-03-16T23:15:43Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"907f0be23811374ebe3d086b608baf5c59263220501f9a8d5886d067c1bbe74d","abstract_canon_sha256":"6f92c1996f76374bfc1333168392b1a542af18e7ebd01bab88f2bd1589ef8a7f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:53:59.567437Z","signature_b64":"Q/ysiJUHjVp9wKA/p45zXw8eQNqUEoqiSW4J6p1jVwMJWYXH5FWifEZS8oMOYJJ9xYqTlQvcjmpOmoBQ9M4BCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a4d0c9d9e46da62ed8057da6ec7d11f969f7a0aba818075405a853c9eef1db00","last_reissued_at":"2026-07-04T14:53:59.567052Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:53:59.567052Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Geometry of Moduli Space of Polarized Calabi-Yau manifolds","license":"","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Michael Douglas, Zhiqin Lu","submitted_at":"2006-03-16T23:15:43Z","abstract_excerpt":"In this paper, we study the Chern classes on the moduli space of polarized Calabi-Yau manifolds. We prove that the integrations of the invariants of the curvature of the Weil-Petersson metric are finite. In some special cases, they are even rational numbers."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0603414","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math/0603414/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":"math/0603414","created_at":"2026-07-04T14:53:59.567118+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0603414v2","created_at":"2026-07-04T14:53:59.567118+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0603414","created_at":"2026-07-04T14:53:59.567118+00:00"},{"alias_kind":"pith_short_12","alias_value":"UTIMTWPENWTC","created_at":"2026-07-04T14:53:59.567118+00:00"},{"alias_kind":"pith_short_16","alias_value":"UTIMTWPENWTC5WAF","created_at":"2026-07-04T14:53:59.567118+00:00"},{"alias_kind":"pith_short_8","alias_value":"UTIMTWPE","created_at":"2026-07-04T14:53:59.567118+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2112.06995","citing_title":"Finiteness for self-dual classes in integral variations of Hodge structure","ref_index":6,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UTIMTWPENWTC5WAFPWTOY7IR7F","json":"https://pith.science/pith/UTIMTWPENWTC5WAFPWTOY7IR7F.json","graph_json":"https://pith.science/api/pith-number/UTIMTWPENWTC5WAFPWTOY7IR7F/graph.json","events_json":"https://pith.science/api/pith-number/UTIMTWPENWTC5WAFPWTOY7IR7F/events.json","paper":"https://pith.science/paper/UTIMTWPE"},"agent_actions":{"view_html":"https://pith.science/pith/UTIMTWPENWTC5WAFPWTOY7IR7F","download_json":"https://pith.science/pith/UTIMTWPENWTC5WAFPWTOY7IR7F.json","view_paper":"https://pith.science/paper/UTIMTWPE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0603414&json=true","fetch_graph":"https://pith.science/api/pith-number/UTIMTWPENWTC5WAFPWTOY7IR7F/graph.json","fetch_events":"https://pith.science/api/pith-number/UTIMTWPENWTC5WAFPWTOY7IR7F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UTIMTWPENWTC5WAFPWTOY7IR7F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UTIMTWPENWTC5WAFPWTOY7IR7F/action/storage_attestation","attest_author":"https://pith.science/pith/UTIMTWPENWTC5WAFPWTOY7IR7F/action/author_attestation","sign_citation":"https://pith.science/pith/UTIMTWPENWTC5WAFPWTOY7IR7F/action/citation_signature","submit_replication":"https://pith.science/pith/UTIMTWPENWTC5WAFPWTOY7IR7F/action/replication_record"}},"created_at":"2026-07-04T14:53:59.567118+00:00","updated_at":"2026-07-04T14:53:59.567118+00:00"}