{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:56VOYUZMYULMGWSZDZLUV5KWQV","short_pith_number":"pith:56VOYUZM","schema_version":"1.0","canonical_sha256":"efaaec532cc516c35a591e574af55685662ea11d59d3a2751b30d66ac3948959","source":{"kind":"arxiv","id":"math/0701074","version":2},"attestation_state":"computed","paper":{"title":"The moduli stack of stable relative ideal sheaves","license":"","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Baosen Wu","submitted_at":"2007-01-02T21:15:59Z","abstract_excerpt":"In this paper, we propose a definition of the moduli stack of stable relative ideal sheaves, and prove that it is a separated and proper Deligne-Mumford stack. It is the first part of the project of relative Donaldson-Thomas theory of ideal sheaves on projective threefolds, which in the end provides a degeneration formula of Donaldson-Thomas invariants of threefolds."},"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/0701074","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2007-01-02T21:15:59Z","cross_cats_sorted":[],"title_canon_sha256":"a1d7a47d427e4cf7a3f0d68fb02868ac5a9653bf1a694b2e70395ce1798b934c","abstract_canon_sha256":"3c3c7b77c82c892aed8e1876af425839ab955d10f586a6a0b174e9b53eb1b330"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:34:10.627010Z","signature_b64":"6oQ50HHM3k1LT4IePg+PtEmXLLJPbdEOGv1wgPwKNfOzHLiIjf99N49obfw0h4qOL0mLCoF3lhyStEcsR3J9AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"efaaec532cc516c35a591e574af55685662ea11d59d3a2751b30d66ac3948959","last_reissued_at":"2026-07-05T00:34:10.626569Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:34:10.626569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The moduli stack of stable relative ideal sheaves","license":"","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Baosen Wu","submitted_at":"2007-01-02T21:15:59Z","abstract_excerpt":"In this paper, we propose a definition of the moduli stack of stable relative ideal sheaves, and prove that it is a separated and proper Deligne-Mumford stack. It is the first part of the project of relative Donaldson-Thomas theory of ideal sheaves on projective threefolds, which in the end provides a degeneration formula of Donaldson-Thomas invariants of threefolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0701074","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math/0701074/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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/0701074","created_at":"2026-07-05T00:34:10.626646+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0701074v2","created_at":"2026-07-05T00:34:10.626646+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0701074","created_at":"2026-07-05T00:34:10.626646+00:00"},{"alias_kind":"pith_short_12","alias_value":"56VOYUZMYULM","created_at":"2026-07-05T00:34:10.626646+00:00"},{"alias_kind":"pith_short_16","alias_value":"56VOYUZMYULMGWSZ","created_at":"2026-07-05T00:34:10.626646+00:00"},{"alias_kind":"pith_short_8","alias_value":"56VOYUZM","created_at":"2026-07-05T00:34:10.626646+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.19713","citing_title":"The integral Chow ring of $\\mathscr{M}_{0}(\\mathbb{P}^r, 2)$","ref_index":25,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/56VOYUZMYULMGWSZDZLUV5KWQV","json":"https://pith.science/pith/56VOYUZMYULMGWSZDZLUV5KWQV.json","graph_json":"https://pith.science/api/pith-number/56VOYUZMYULMGWSZDZLUV5KWQV/graph.json","events_json":"https://pith.science/api/pith-number/56VOYUZMYULMGWSZDZLUV5KWQV/events.json","paper":"https://pith.science/paper/56VOYUZM"},"agent_actions":{"view_html":"https://pith.science/pith/56VOYUZMYULMGWSZDZLUV5KWQV","download_json":"https://pith.science/pith/56VOYUZMYULMGWSZDZLUV5KWQV.json","view_paper":"https://pith.science/paper/56VOYUZM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0701074&json=true","fetch_graph":"https://pith.science/api/pith-number/56VOYUZMYULMGWSZDZLUV5KWQV/graph.json","fetch_events":"https://pith.science/api/pith-number/56VOYUZMYULMGWSZDZLUV5KWQV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/56VOYUZMYULMGWSZDZLUV5KWQV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/56VOYUZMYULMGWSZDZLUV5KWQV/action/storage_attestation","attest_author":"https://pith.science/pith/56VOYUZMYULMGWSZDZLUV5KWQV/action/author_attestation","sign_citation":"https://pith.science/pith/56VOYUZMYULMGWSZDZLUV5KWQV/action/citation_signature","submit_replication":"https://pith.science/pith/56VOYUZMYULMGWSZDZLUV5KWQV/action/replication_record"}},"created_at":"2026-07-05T00:34:10.626646+00:00","updated_at":"2026-07-05T00:34:10.626646+00:00"}