{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:SDNVGBF42SWYNE5XCYM4KJ625V","short_pith_number":"pith:SDNVGBF4","schema_version":"1.0","canonical_sha256":"90db5304bcd4ad8693b71619c527daed59014279d9c6f4de38ca494522c0d35c","source":{"kind":"arxiv","id":"1112.4511","version":2},"attestation_state":"computed","paper":{"title":"Polynomial Bridgeland Stable Objects and Reflexive Sheaves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jason Lo","submitted_at":"2011-12-19T22:02:08Z","abstract_excerpt":"On a smooth projective threefold, we show that there are only two isomorphism types for the moduli of stable objects with respect to Bayer's standard polynomial Bridgeland stability - the moduli of Gieseker-stable sheaves and the moduli of PT-stable objects - under the following assumptions: no two of the stability vectors are collinear, and the degree and rank of the objects are relatively prime. We also describe a close relation between the intersection of the moduli spaces of PT-stable and dual-PT-stable objects, and the moduli of reflexive sheaves."},"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":"1112.4511","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-12-19T22:02:08Z","cross_cats_sorted":[],"title_canon_sha256":"52ef5ba3033663234f6f1f39cf8b36b66e9bedf06f3a092504a66563c9c14bd8","abstract_canon_sha256":"72e387168457823acc1dae7e5191967a4f76c6357e8a7af6c353c7dd3dc2e3ee"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:35.742494Z","signature_b64":"0anCgEC1Kl9kYypEUjlalzISKZ7eADwsGBQt0g0UYZi42ynqqNXcL5iTLEsedTBZrJpdo/ejbCXo1EcADETDAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90db5304bcd4ad8693b71619c527daed59014279d9c6f4de38ca494522c0d35c","last_reissued_at":"2026-05-18T03:49:35.741747Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:35.741747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Polynomial Bridgeland Stable Objects and Reflexive Sheaves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jason Lo","submitted_at":"2011-12-19T22:02:08Z","abstract_excerpt":"On a smooth projective threefold, we show that there are only two isomorphism types for the moduli of stable objects with respect to Bayer's standard polynomial Bridgeland stability - the moduli of Gieseker-stable sheaves and the moduli of PT-stable objects - under the following assumptions: no two of the stability vectors are collinear, and the degree and rank of the objects are relatively prime. We also describe a close relation between the intersection of the moduli spaces of PT-stable and dual-PT-stable objects, and the moduli of reflexive sheaves."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.4511","kind":"arxiv","version":2},"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":"1112.4511","created_at":"2026-05-18T03:49:35.741872+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.4511v2","created_at":"2026-05-18T03:49:35.741872+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.4511","created_at":"2026-05-18T03:49:35.741872+00:00"},{"alias_kind":"pith_short_12","alias_value":"SDNVGBF42SWY","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_16","alias_value":"SDNVGBF42SWYNE5X","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_8","alias_value":"SDNVGBF4","created_at":"2026-05-18T12:26:41.206345+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/SDNVGBF42SWYNE5XCYM4KJ625V","json":"https://pith.science/pith/SDNVGBF42SWYNE5XCYM4KJ625V.json","graph_json":"https://pith.science/api/pith-number/SDNVGBF42SWYNE5XCYM4KJ625V/graph.json","events_json":"https://pith.science/api/pith-number/SDNVGBF42SWYNE5XCYM4KJ625V/events.json","paper":"https://pith.science/paper/SDNVGBF4"},"agent_actions":{"view_html":"https://pith.science/pith/SDNVGBF42SWYNE5XCYM4KJ625V","download_json":"https://pith.science/pith/SDNVGBF42SWYNE5XCYM4KJ625V.json","view_paper":"https://pith.science/paper/SDNVGBF4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.4511&json=true","fetch_graph":"https://pith.science/api/pith-number/SDNVGBF42SWYNE5XCYM4KJ625V/graph.json","fetch_events":"https://pith.science/api/pith-number/SDNVGBF42SWYNE5XCYM4KJ625V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SDNVGBF42SWYNE5XCYM4KJ625V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SDNVGBF42SWYNE5XCYM4KJ625V/action/storage_attestation","attest_author":"https://pith.science/pith/SDNVGBF42SWYNE5XCYM4KJ625V/action/author_attestation","sign_citation":"https://pith.science/pith/SDNVGBF42SWYNE5XCYM4KJ625V/action/citation_signature","submit_replication":"https://pith.science/pith/SDNVGBF42SWYNE5XCYM4KJ625V/action/replication_record"}},"created_at":"2026-05-18T03:49:35.741872+00:00","updated_at":"2026-05-18T03:49:35.741872+00:00"}