{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:2HEIW5BOF2QY42ZEGL4FQGD5WK","short_pith_number":"pith:2HEIW5BO","schema_version":"1.0","canonical_sha256":"d1c88b742e2ea18e6b2432f858187db295f0f35455f5da6379d074f8e8367e1a","source":{"kind":"arxiv","id":"1805.00183","version":2},"attestation_state":"computed","paper":{"title":"Semiorthogonal decompositions of stable pair moduli spaces via d-critical flips","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Yukinobu Toda","submitted_at":"2018-05-01T04:32:15Z","abstract_excerpt":"We show the existence of semiorthogonal decompositions (SOD) of Pandharipande-Thomas (PT) stable pair moduli spaces on Calabi-Yau 3-folds with irreducible curve classes, assuming relevant moduli spaces are non-singular. The above result is motivated by categorifications of wall-crossing formula of PT invariants in the derived category, and also a d-critical analogue of Bondal-Orlov, Kawamata's D/K equivalence conjecture. We also give SOD of stable pair moduli spaces on K3 surfaces, which categorifies Kawai-Yoshioka's formula proving Katz-Klemm-Vafa formula for PT invariants on K3 surfaces with"},"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":"1805.00183","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-05-01T04:32:15Z","cross_cats_sorted":[],"title_canon_sha256":"2248b3067192b998b1addd1a14d7eb81fec67f7698a57259a1743af9909e2e7c","abstract_canon_sha256":"e204ca5bc44b178ddb10dbf98ebe584161ac2d0508a4d0ec729a7b004b4583bc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:16.530176Z","signature_b64":"FDlgCnlY8rW396vUIuFZW5Qb9f2KwUKn0U4Pw3ZDAfBxrOFgexWoxJLEPxXyLJdnbwPS5VHjLOu38AqF0ppuAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d1c88b742e2ea18e6b2432f858187db295f0f35455f5da6379d074f8e8367e1a","last_reissued_at":"2026-05-17T23:54:16.529733Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:16.529733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Semiorthogonal decompositions of stable pair moduli spaces via d-critical flips","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Yukinobu Toda","submitted_at":"2018-05-01T04:32:15Z","abstract_excerpt":"We show the existence of semiorthogonal decompositions (SOD) of Pandharipande-Thomas (PT) stable pair moduli spaces on Calabi-Yau 3-folds with irreducible curve classes, assuming relevant moduli spaces are non-singular. The above result is motivated by categorifications of wall-crossing formula of PT invariants in the derived category, and also a d-critical analogue of Bondal-Orlov, Kawamata's D/K equivalence conjecture. We also give SOD of stable pair moduli spaces on K3 surfaces, which categorifies Kawai-Yoshioka's formula proving Katz-Klemm-Vafa formula for PT invariants on K3 surfaces with"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.00183","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":"1805.00183","created_at":"2026-05-17T23:54:16.529805+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.00183v2","created_at":"2026-05-17T23:54:16.529805+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.00183","created_at":"2026-05-17T23:54:16.529805+00:00"},{"alias_kind":"pith_short_12","alias_value":"2HEIW5BOF2QY","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_16","alias_value":"2HEIW5BOF2QY42ZE","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_8","alias_value":"2HEIW5BO","created_at":"2026-05-18T12:32:02.567920+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/2HEIW5BOF2QY42ZEGL4FQGD5WK","json":"https://pith.science/pith/2HEIW5BOF2QY42ZEGL4FQGD5WK.json","graph_json":"https://pith.science/api/pith-number/2HEIW5BOF2QY42ZEGL4FQGD5WK/graph.json","events_json":"https://pith.science/api/pith-number/2HEIW5BOF2QY42ZEGL4FQGD5WK/events.json","paper":"https://pith.science/paper/2HEIW5BO"},"agent_actions":{"view_html":"https://pith.science/pith/2HEIW5BOF2QY42ZEGL4FQGD5WK","download_json":"https://pith.science/pith/2HEIW5BOF2QY42ZEGL4FQGD5WK.json","view_paper":"https://pith.science/paper/2HEIW5BO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.00183&json=true","fetch_graph":"https://pith.science/api/pith-number/2HEIW5BOF2QY42ZEGL4FQGD5WK/graph.json","fetch_events":"https://pith.science/api/pith-number/2HEIW5BOF2QY42ZEGL4FQGD5WK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2HEIW5BOF2QY42ZEGL4FQGD5WK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2HEIW5BOF2QY42ZEGL4FQGD5WK/action/storage_attestation","attest_author":"https://pith.science/pith/2HEIW5BOF2QY42ZEGL4FQGD5WK/action/author_attestation","sign_citation":"https://pith.science/pith/2HEIW5BOF2QY42ZEGL4FQGD5WK/action/citation_signature","submit_replication":"https://pith.science/pith/2HEIW5BOF2QY42ZEGL4FQGD5WK/action/replication_record"}},"created_at":"2026-05-17T23:54:16.529805+00:00","updated_at":"2026-05-17T23:54:16.529805+00:00"}