{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:E5BSCDO2QFVMLKMKYPCNSEVOSA","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":"109c2ed69a6b86243abacbc12389f43d988d34a1f402f542c0442bffaff81296","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-04-11T15:21:34Z","title_canon_sha256":"d183ca25d6ba1dc723f67a8e28337ab5df37663f25e76ee937e71f0394a68de5"},"schema_version":"1.0","source":{"id":"1704.03352","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03352","created_at":"2026-05-18T00:46:32Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03352v1","created_at":"2026-05-18T00:46:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03352","created_at":"2026-05-18T00:46:32Z"},{"alias_kind":"pith_short_12","alias_value":"E5BSCDO2QFVM","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"E5BSCDO2QFVMLKMK","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"E5BSCDO2","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:fb7f8aba3e94f6f340d78a8b539f8c12999522e35cd108b57ae4a8a381ae8e98","target":"graph","created_at":"2026-05-18T00:46:32Z","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":"In this paper, we investigate the existence of Ulrich bundles on a smooth complete intersection of two $4$-dimensional quadrics in $\\mathbb P^5$ by two completely different methods. First, we find good ACM curves and use Serre correspondence in order to construct Ulrich bundles, which is analogous to the construction on a cubic threefold by Casanellas-Hartshorne-Geiss-Schreyer. Next, we use Bondal-Orlov's semiorthogonal decomposition of the derived category of coherent sheaves to analyze Ulrich bundles. Using these methods, we prove that any smooth intersection of two 4-dimensional quadrics in","authors_text":"Kyoung-Seog Lee, Yeongrak Kim, Yonghwa Cho","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-04-11T15:21:34Z","title":"Ulrich bundles on intersections of two 4-dimensional quadrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03352","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":"sha256:92300609f9c38e00e141b15f8fa9b3763faca089677b6078d7645f50b12fe2eb","target":"record","created_at":"2026-05-18T00:46:32Z","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":"109c2ed69a6b86243abacbc12389f43d988d34a1f402f542c0442bffaff81296","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-04-11T15:21:34Z","title_canon_sha256":"d183ca25d6ba1dc723f67a8e28337ab5df37663f25e76ee937e71f0394a68de5"},"schema_version":"1.0","source":{"id":"1704.03352","kind":"arxiv","version":1}},"canonical_sha256":"2743210dda816ac5a98ac3c4d912ae902061fbfb34418f8a5e7f871dfa495b66","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2743210dda816ac5a98ac3c4d912ae902061fbfb34418f8a5e7f871dfa495b66","first_computed_at":"2026-05-18T00:46:32.753820Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:32.753820Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ancclmoGpqeA/Y4MypcuUwE1tFJkIzTkTrRZWAgqqGGPxaH06qfUgk8QRW2nh12ZtE5Mw6D7OxQVVmmFzUS7DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:32.754518Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.03352","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:92300609f9c38e00e141b15f8fa9b3763faca089677b6078d7645f50b12fe2eb","sha256:fb7f8aba3e94f6f340d78a8b539f8c12999522e35cd108b57ae4a8a381ae8e98"],"state_sha256":"ecd2268395930ef9513dd25091ad14699b214de9686019c7e0545268b0b57465"}