{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:DOJWAK7FWSKJCS45WAURQE5W27","short_pith_number":"pith:DOJWAK7F","schema_version":"1.0","canonical_sha256":"1b93602be5b494914b9db0291813b6d7fc7b5907bdf3c6f362701db383476ab0","source":{"kind":"arxiv","id":"math/0403260","version":1},"attestation_state":"computed","paper":{"title":"Semisimple Quantum Cohomology and Blow-ups","license":"","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AG","authors_text":"Arend Bayer (Max-Planck-Institut fuer Mathematik, Bonn)","submitted_at":"2004-03-16T13:19:24Z","abstract_excerpt":"Using results of Gathmann, we prove the following theorem: If a smooth projective variety X has generically semisimple (p,p)-quantum cohomology, then the same is true for the blow-up of X at any number of points. This a successful test for a modified version of Dubrovin's conjecture from the ICM 1998."},"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":"math/0403260","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2004-03-16T13:19:24Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"e0d7333e57a58ae4777be25a8c17133fd6e5526f4f9c939c1f04f3dc14066cdb","abstract_canon_sha256":"cf88577f9f0a588adaf6ba47dbda3be2b846fc0c619f1685ba897c9432bf288c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:26.897427Z","signature_b64":"D+Xfec5iWVo7mTj+M0dAVEABrIEQOSqhNHj4Rr89w0yLfBRS6akL/M7w4IvgLK3C30GE5ILHLs4HslNu91qBBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b93602be5b494914b9db0291813b6d7fc7b5907bdf3c6f362701db383476ab0","last_reissued_at":"2026-05-18T03:58:26.896678Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:26.896678Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Semisimple Quantum Cohomology and Blow-ups","license":"","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AG","authors_text":"Arend Bayer (Max-Planck-Institut fuer Mathematik, Bonn)","submitted_at":"2004-03-16T13:19:24Z","abstract_excerpt":"Using results of Gathmann, we prove the following theorem: If a smooth projective variety X has generically semisimple (p,p)-quantum cohomology, then the same is true for the blow-up of X at any number of points. This a successful test for a modified version of Dubrovin's conjecture from the ICM 1998."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0403260","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":"math/0403260","created_at":"2026-05-18T03:58:26.896790+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0403260v1","created_at":"2026-05-18T03:58:26.896790+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0403260","created_at":"2026-05-18T03:58:26.896790+00:00"},{"alias_kind":"pith_short_12","alias_value":"DOJWAK7FWSKJ","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_16","alias_value":"DOJWAK7FWSKJCS45","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_8","alias_value":"DOJWAK7F","created_at":"2026-05-18T12:25:52.687210+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/DOJWAK7FWSKJCS45WAURQE5W27","json":"https://pith.science/pith/DOJWAK7FWSKJCS45WAURQE5W27.json","graph_json":"https://pith.science/api/pith-number/DOJWAK7FWSKJCS45WAURQE5W27/graph.json","events_json":"https://pith.science/api/pith-number/DOJWAK7FWSKJCS45WAURQE5W27/events.json","paper":"https://pith.science/paper/DOJWAK7F"},"agent_actions":{"view_html":"https://pith.science/pith/DOJWAK7FWSKJCS45WAURQE5W27","download_json":"https://pith.science/pith/DOJWAK7FWSKJCS45WAURQE5W27.json","view_paper":"https://pith.science/paper/DOJWAK7F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0403260&json=true","fetch_graph":"https://pith.science/api/pith-number/DOJWAK7FWSKJCS45WAURQE5W27/graph.json","fetch_events":"https://pith.science/api/pith-number/DOJWAK7FWSKJCS45WAURQE5W27/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DOJWAK7FWSKJCS45WAURQE5W27/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DOJWAK7FWSKJCS45WAURQE5W27/action/storage_attestation","attest_author":"https://pith.science/pith/DOJWAK7FWSKJCS45WAURQE5W27/action/author_attestation","sign_citation":"https://pith.science/pith/DOJWAK7FWSKJCS45WAURQE5W27/action/citation_signature","submit_replication":"https://pith.science/pith/DOJWAK7FWSKJCS45WAURQE5W27/action/replication_record"}},"created_at":"2026-05-18T03:58:26.896790+00:00","updated_at":"2026-05-18T03:58:26.896790+00:00"}