{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:P2A3SFUUAI7LX76HFZH5KNMUKH","short_pith_number":"pith:P2A3SFUU","schema_version":"1.0","canonical_sha256":"7e81b91694023ebbffc72e4fd5359451d34b9de6794f9a9d313ecb2cbcb2b1cc","source":{"kind":"arxiv","id":"0911.0277","version":2},"attestation_state":"computed","paper":{"title":"Hodge classes associated to 1-parameter families of Calabi-Yau 3-folds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Duco van Straten, Kang Zuo, Pedro Luis del Angel, Stefan M\\\"uller-Stach","submitted_at":"2009-11-02T10:36:46Z","abstract_excerpt":"We use $L^2$-Higgs cohomology to determine the Hodge numbers of the parabolic cohomology $H^1(\\bar S, j_*\\V)$, where the local system $\\V$ arises from the third primitive cohomology of family of Calabi-Yau threefolds over a curve $\\bar S$. The method gives a way to predict the presence of algebraic 2-cycles in the total space of the family and is applied to some examples."},"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":"0911.0277","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-11-02T10:36:46Z","cross_cats_sorted":[],"title_canon_sha256":"813570f698a106b7b713f0c69b24d3d19e000f1b99cc13f9a91cd8e773feb9ec","abstract_canon_sha256":"6dd660f9de5a1967c74367851c694566c7c185904051ff493eef0aea804396a9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:30.704774Z","signature_b64":"TC7nTFU+4KEE/YUJ/5OWGNdWe3kQdLanNizxUytMwMIKlUrKnh01pS88UGDcXQWwdpId0T4lT8cJLNVV64xcBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e81b91694023ebbffc72e4fd5359451d34b9de6794f9a9d313ecb2cbcb2b1cc","last_reissued_at":"2026-05-18T02:39:30.704370Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:30.704370Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hodge classes associated to 1-parameter families of Calabi-Yau 3-folds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Duco van Straten, Kang Zuo, Pedro Luis del Angel, Stefan M\\\"uller-Stach","submitted_at":"2009-11-02T10:36:46Z","abstract_excerpt":"We use $L^2$-Higgs cohomology to determine the Hodge numbers of the parabolic cohomology $H^1(\\bar S, j_*\\V)$, where the local system $\\V$ arises from the third primitive cohomology of family of Calabi-Yau threefolds over a curve $\\bar S$. The method gives a way to predict the presence of algebraic 2-cycles in the total space of the family and is applied to some examples."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.0277","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":""},"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":"0911.0277","created_at":"2026-05-18T02:39:30.704428+00:00"},{"alias_kind":"arxiv_version","alias_value":"0911.0277v2","created_at":"2026-05-18T02:39:30.704428+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.0277","created_at":"2026-05-18T02:39:30.704428+00:00"},{"alias_kind":"pith_short_12","alias_value":"P2A3SFUUAI7L","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_16","alias_value":"P2A3SFUUAI7LX76H","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_8","alias_value":"P2A3SFUU","created_at":"2026-05-18T12:26:01.383474+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/P2A3SFUUAI7LX76HFZH5KNMUKH","json":"https://pith.science/pith/P2A3SFUUAI7LX76HFZH5KNMUKH.json","graph_json":"https://pith.science/api/pith-number/P2A3SFUUAI7LX76HFZH5KNMUKH/graph.json","events_json":"https://pith.science/api/pith-number/P2A3SFUUAI7LX76HFZH5KNMUKH/events.json","paper":"https://pith.science/paper/P2A3SFUU"},"agent_actions":{"view_html":"https://pith.science/pith/P2A3SFUUAI7LX76HFZH5KNMUKH","download_json":"https://pith.science/pith/P2A3SFUUAI7LX76HFZH5KNMUKH.json","view_paper":"https://pith.science/paper/P2A3SFUU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0911.0277&json=true","fetch_graph":"https://pith.science/api/pith-number/P2A3SFUUAI7LX76HFZH5KNMUKH/graph.json","fetch_events":"https://pith.science/api/pith-number/P2A3SFUUAI7LX76HFZH5KNMUKH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/P2A3SFUUAI7LX76HFZH5KNMUKH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/P2A3SFUUAI7LX76HFZH5KNMUKH/action/storage_attestation","attest_author":"https://pith.science/pith/P2A3SFUUAI7LX76HFZH5KNMUKH/action/author_attestation","sign_citation":"https://pith.science/pith/P2A3SFUUAI7LX76HFZH5KNMUKH/action/citation_signature","submit_replication":"https://pith.science/pith/P2A3SFUUAI7LX76HFZH5KNMUKH/action/replication_record"}},"created_at":"2026-05-18T02:39:30.704428+00:00","updated_at":"2026-05-18T02:39:30.704428+00:00"}