{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:E5BSCDO2QFVMLKMKYPCNSEVOSA","short_pith_number":"pith:E5BSCDO2","schema_version":"1.0","canonical_sha256":"2743210dda816ac5a98ac3c4d912ae902061fbfb34418f8a5e7f871dfa495b66","source":{"kind":"arxiv","id":"1704.03352","version":1},"attestation_state":"computed","paper":{"title":"Ulrich bundles on intersections of two 4-dimensional quadrics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Kyoung-Seog Lee, Yeongrak Kim, Yonghwa Cho","submitted_at":"2017-04-11T15:21:34Z","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"},"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":"1704.03352","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-04-11T15:21:34Z","cross_cats_sorted":[],"title_canon_sha256":"d183ca25d6ba1dc723f67a8e28337ab5df37663f25e76ee937e71f0394a68de5","abstract_canon_sha256":"109c2ed69a6b86243abacbc12389f43d988d34a1f402f542c0442bffaff81296"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:32.754518Z","signature_b64":"ancclmoGpqeA/Y4MypcuUwE1tFJkIzTkTrRZWAgqqGGPxaH06qfUgk8QRW2nh12ZtE5Mw6D7OxQVVmmFzUS7DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2743210dda816ac5a98ac3c4d912ae902061fbfb34418f8a5e7f871dfa495b66","last_reissued_at":"2026-05-18T00:46:32.753820Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:32.753820Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ulrich bundles on intersections of two 4-dimensional quadrics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Kyoung-Seog Lee, Yeongrak Kim, Yonghwa Cho","submitted_at":"2017-04-11T15:21:34Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03352","kind":"arxiv","version":1},"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":"1704.03352","created_at":"2026-05-18T00:46:32.753927+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.03352v1","created_at":"2026-05-18T00:46:32.753927+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03352","created_at":"2026-05-18T00:46:32.753927+00:00"},{"alias_kind":"pith_short_12","alias_value":"E5BSCDO2QFVM","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_16","alias_value":"E5BSCDO2QFVMLKMK","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_8","alias_value":"E5BSCDO2","created_at":"2026-05-18T12:31:12.930513+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/E5BSCDO2QFVMLKMKYPCNSEVOSA","json":"https://pith.science/pith/E5BSCDO2QFVMLKMKYPCNSEVOSA.json","graph_json":"https://pith.science/api/pith-number/E5BSCDO2QFVMLKMKYPCNSEVOSA/graph.json","events_json":"https://pith.science/api/pith-number/E5BSCDO2QFVMLKMKYPCNSEVOSA/events.json","paper":"https://pith.science/paper/E5BSCDO2"},"agent_actions":{"view_html":"https://pith.science/pith/E5BSCDO2QFVMLKMKYPCNSEVOSA","download_json":"https://pith.science/pith/E5BSCDO2QFVMLKMKYPCNSEVOSA.json","view_paper":"https://pith.science/paper/E5BSCDO2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.03352&json=true","fetch_graph":"https://pith.science/api/pith-number/E5BSCDO2QFVMLKMKYPCNSEVOSA/graph.json","fetch_events":"https://pith.science/api/pith-number/E5BSCDO2QFVMLKMKYPCNSEVOSA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E5BSCDO2QFVMLKMKYPCNSEVOSA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E5BSCDO2QFVMLKMKYPCNSEVOSA/action/storage_attestation","attest_author":"https://pith.science/pith/E5BSCDO2QFVMLKMKYPCNSEVOSA/action/author_attestation","sign_citation":"https://pith.science/pith/E5BSCDO2QFVMLKMKYPCNSEVOSA/action/citation_signature","submit_replication":"https://pith.science/pith/E5BSCDO2QFVMLKMKYPCNSEVOSA/action/replication_record"}},"created_at":"2026-05-18T00:46:32.753927+00:00","updated_at":"2026-05-18T00:46:32.753927+00:00"}