{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:U7IPHJPMGDEY35PM643EV6OUNN","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":"6c04d21dc563cef215f79ea8150626efa7229af833d494bc694f583cb46e9670","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-06-24T13:43:07Z","title_canon_sha256":"d8dd7b44ddba9396b629b59bdf33f9045ab521645ec22351c67483e59aff9ef9"},"schema_version":"1.0","source":{"id":"1306.5628","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5628","created_at":"2026-05-18T01:49:56Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5628v3","created_at":"2026-05-18T01:49:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5628","created_at":"2026-05-18T01:49:56Z"},{"alias_kind":"pith_short_12","alias_value":"U7IPHJPMGDEY","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"U7IPHJPMGDEY35PM","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"U7IPHJPM","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:f2c845470d8c4196c8a61e6146fa87b6e04d9d63647778a145beeab53401cc77","target":"graph","created_at":"2026-05-18T01:49:56Z","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 the geometry of $3$-codimensional smooth subvarieties of the complex projective space. In particular, we classify all quasi-Buchsbaum Calabi--Yau threefolds in projective $6$-space. Moreover, we prove that this classification includes all Calabi--Yau threefolds contained in a possibly singular 5-dimensional quadric as well as all Calabi--Yau threefolds of degree at most $14$ in $\\mathbb{P}^6$.","authors_text":"Grzegorz Kapustka, Michal Kapustka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-06-24T13:43:07Z","title":"Calabi--Yau threefolds in $\\mathbb{P}^6$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5628","kind":"arxiv","version":3},"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":"sha256:34a2e9f7bc6457cdb8f7c6ddf2fa6414615d3c9cdf9cefac856df41c8b21553a","target":"record","created_at":"2026-05-18T01:49:56Z","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":"6c04d21dc563cef215f79ea8150626efa7229af833d494bc694f583cb46e9670","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-06-24T13:43:07Z","title_canon_sha256":"d8dd7b44ddba9396b629b59bdf33f9045ab521645ec22351c67483e59aff9ef9"},"schema_version":"1.0","source":{"id":"1306.5628","kind":"arxiv","version":3}},"canonical_sha256":"a7d0f3a5ec30c98df5ecf7364af9d46b6b9c25cd4c9e9e93b46c41fd2e1f8ac0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7d0f3a5ec30c98df5ecf7364af9d46b6b9c25cd4c9e9e93b46c41fd2e1f8ac0","first_computed_at":"2026-05-18T01:49:56.186992Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:56.186992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eXZIykhpV8By0CHTZCQwhs7Jj/AyU8N8Gl1BVxPi1RV5XaSsiz90P+rMwVq7QRpMxh+1kUmdh2LJVeYm4Z61Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:56.187606Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.5628","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34a2e9f7bc6457cdb8f7c6ddf2fa6414615d3c9cdf9cefac856df41c8b21553a","sha256:f2c845470d8c4196c8a61e6146fa87b6e04d9d63647778a145beeab53401cc77"],"state_sha256":"732e8675d5c6fda673f7e46b35b991cfb4cfabe6ba23a072eb8b9b7b7c97beb5"}