{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:P2A3SFUUAI7LX76HFZH5KNMUKH","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6dd660f9de5a1967c74367851c694566c7c185904051ff493eef0aea804396a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-11-02T10:36:46Z","title_canon_sha256":"813570f698a106b7b713f0c69b24d3d19e000f1b99cc13f9a91cd8e773feb9ec"},"schema_version":"1.0","source":{"id":"0911.0277","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.0277","created_at":"2026-05-18T02:39:30Z"},{"alias_kind":"arxiv_version","alias_value":"0911.0277v2","created_at":"2026-05-18T02:39:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.0277","created_at":"2026-05-18T02:39:30Z"},{"alias_kind":"pith_short_12","alias_value":"P2A3SFUUAI7L","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"P2A3SFUUAI7LX76H","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"P2A3SFUU","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:cfcb2699d759fe7af7162fd63a325da9a1aae899347c4c6baf63c5631dad778a","target":"graph","created_at":"2026-05-18T02:39:30Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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.","authors_text":"Duco van Straten, Kang Zuo, Pedro Luis del Angel, Stefan M\\\"uller-Stach","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-11-02T10:36:46Z","title":"Hodge classes associated to 1-parameter families of Calabi-Yau 3-folds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.0277","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:4f76dcb5bc3d399091c5d3580ebaddb5a65ad8f5ced2b97e816ed69c5fa4909b","target":"record","created_at":"2026-05-18T02:39:30Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"6dd660f9de5a1967c74367851c694566c7c185904051ff493eef0aea804396a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-11-02T10:36:46Z","title_canon_sha256":"813570f698a106b7b713f0c69b24d3d19e000f1b99cc13f9a91cd8e773feb9ec"},"schema_version":"1.0","source":{"id":"0911.0277","kind":"arxiv","version":2}},"canonical_sha256":"7e81b91694023ebbffc72e4fd5359451d34b9de6794f9a9d313ecb2cbcb2b1cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e81b91694023ebbffc72e4fd5359451d34b9de6794f9a9d313ecb2cbcb2b1cc","first_computed_at":"2026-05-18T02:39:30.704370Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:30.704370Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TC7nTFU+4KEE/YUJ/5OWGNdWe3kQdLanNizxUytMwMIKlUrKnh01pS88UGDcXQWwdpId0T4lT8cJLNVV64xcBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:30.704774Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.0277","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f76dcb5bc3d399091c5d3580ebaddb5a65ad8f5ced2b97e816ed69c5fa4909b","sha256:cfcb2699d759fe7af7162fd63a325da9a1aae899347c4c6baf63c5631dad778a"],"state_sha256":"3cffb99de3983aaf2f2bd92678769e94deaef05ff96c75965b33da392ce6268c"}