{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:BCOY7ROEOWRHK52QQHKVYO4RCJ","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":"7563b825ef763702a7d65f3730991daed652d076fe3473a02c04efca128ff275","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-02T14:07:06Z","title_canon_sha256":"6b8cb663297b29554401d85d995f7329a7b06da863d2625ef73d59d741cf6df5"},"schema_version":"1.0","source":{"id":"1506.00892","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.00892","created_at":"2026-05-18T01:59:34Z"},{"alias_kind":"arxiv_version","alias_value":"1506.00892v1","created_at":"2026-05-18T01:59:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.00892","created_at":"2026-05-18T01:59:34Z"},{"alias_kind":"pith_short_12","alias_value":"BCOY7ROEOWRH","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BCOY7ROEOWRHK52Q","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BCOY7ROE","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:1e709b69cfe51cb345d8f2aea37c3e95589f94ccd6c0b1d7a5e5b7112bd06b34","target":"graph","created_at":"2026-05-18T01:59:34Z","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 study a projective Calabi-Yau threefold which has been constructed in an earlier paper. It is rigid and has Picard number two. We construct a pair of divisors which give a basis of the Picard group and determine all intersection numbers of three divisors.","authors_text":"Eberhard Freitag","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-02T14:07:06Z","title":"A rigid Calabi-Yau manifold with Picard number two"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.00892","kind":"arxiv","version":1},"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":"sha256:4bd6aca22089ed1c27c046cf12f92cdf715e309f82472432273c426dd73d120e","target":"record","created_at":"2026-05-18T01:59:34Z","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":"7563b825ef763702a7d65f3730991daed652d076fe3473a02c04efca128ff275","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-02T14:07:06Z","title_canon_sha256":"6b8cb663297b29554401d85d995f7329a7b06da863d2625ef73d59d741cf6df5"},"schema_version":"1.0","source":{"id":"1506.00892","kind":"arxiv","version":1}},"canonical_sha256":"089d8fc5c475a275775081d55c3b911250eb4c2295acface5bfbae89f61db207","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"089d8fc5c475a275775081d55c3b911250eb4c2295acface5bfbae89f61db207","first_computed_at":"2026-05-18T01:59:34.164953Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:34.164953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eg7DyNVZzVw0Yk271VXKCc/De4pEzXQQ6Apgt55IuHDFE5GcgIRMA2PfgA4Wj4B+2bESGLGSExPw5/wRxbHFDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:34.165514Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.00892","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4bd6aca22089ed1c27c046cf12f92cdf715e309f82472432273c426dd73d120e","sha256:1e709b69cfe51cb345d8f2aea37c3e95589f94ccd6c0b1d7a5e5b7112bd06b34"],"state_sha256":"4043b2e677ddc4665328f1dc79e970d72bfedcd50d3f9f9c21bd1281deaf6c3b"}