{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:3UIRMBKC5BZUOBLN4T5CCRJOZJ","short_pith_number":"pith:3UIRMBKC","schema_version":"1.0","canonical_sha256":"dd11160542e87347056de4fa21452eca42bd7d65f21509f418e34ab5d87c0033","source":{"kind":"arxiv","id":"0805.2192","version":5},"attestation_state":"computed","paper":{"title":"On the moduli space of Donaldson-Thomas instantons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Yuuji Tanaka","submitted_at":"2008-05-15T00:39:37Z","abstract_excerpt":"In alignment with a programme by Donaldson and Thomas [DT], Thomas [Th] constructed a deformation invariant for smooth projective Calabi-Yau threefolds, which is now called the Donaldson-Thomas invariant, from the moduli space of (semi-)stable sheaves by using algebraic geometry techniques. In the same paper [Th], Thomas noted that certain perturbed Hermitian-Einstein equations might possibly produce an analytic theory of the invariant. This article sets up the equations on symplectic 6-manifolds, and gives the local model and structures of the moduli space coming from the equations. We then d"},"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":"0805.2192","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-05-15T00:39:37Z","cross_cats_sorted":[],"title_canon_sha256":"662001d7229182427c7077c47fbe7cd6fc1597ffce9237a7d13f9e05dc449657","abstract_canon_sha256":"ee03ae5dc4b2932b0697ca26548ff2c8a6c9dd0f4cd59e00517bdf6ae63bc3de"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:18.801039Z","signature_b64":"yC1hCR4oeYEnqhI/vsx3D0xPFEYdatp9lmtPK6sWJTiS5MeGkEKtp/qDf49X8Nto7UBtWWeaas32KhcqW9luBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd11160542e87347056de4fa21452eca42bd7d65f21509f418e34ab5d87c0033","last_reissued_at":"2026-05-18T01:10:18.800342Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:18.800342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the moduli space of Donaldson-Thomas instantons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Yuuji Tanaka","submitted_at":"2008-05-15T00:39:37Z","abstract_excerpt":"In alignment with a programme by Donaldson and Thomas [DT], Thomas [Th] constructed a deformation invariant for smooth projective Calabi-Yau threefolds, which is now called the Donaldson-Thomas invariant, from the moduli space of (semi-)stable sheaves by using algebraic geometry techniques. In the same paper [Th], Thomas noted that certain perturbed Hermitian-Einstein equations might possibly produce an analytic theory of the invariant. This article sets up the equations on symplectic 6-manifolds, and gives the local model and structures of the moduli space coming from the equations. We then d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.2192","kind":"arxiv","version":5},"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":"0805.2192","created_at":"2026-05-18T01:10:18.800444+00:00"},{"alias_kind":"arxiv_version","alias_value":"0805.2192v5","created_at":"2026-05-18T01:10:18.800444+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.2192","created_at":"2026-05-18T01:10:18.800444+00:00"},{"alias_kind":"pith_short_12","alias_value":"3UIRMBKC5BZU","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"3UIRMBKC5BZUOBLN","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"3UIRMBKC","created_at":"2026-05-18T12:25:56.245647+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/3UIRMBKC5BZUOBLN4T5CCRJOZJ","json":"https://pith.science/pith/3UIRMBKC5BZUOBLN4T5CCRJOZJ.json","graph_json":"https://pith.science/api/pith-number/3UIRMBKC5BZUOBLN4T5CCRJOZJ/graph.json","events_json":"https://pith.science/api/pith-number/3UIRMBKC5BZUOBLN4T5CCRJOZJ/events.json","paper":"https://pith.science/paper/3UIRMBKC"},"agent_actions":{"view_html":"https://pith.science/pith/3UIRMBKC5BZUOBLN4T5CCRJOZJ","download_json":"https://pith.science/pith/3UIRMBKC5BZUOBLN4T5CCRJOZJ.json","view_paper":"https://pith.science/paper/3UIRMBKC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0805.2192&json=true","fetch_graph":"https://pith.science/api/pith-number/3UIRMBKC5BZUOBLN4T5CCRJOZJ/graph.json","fetch_events":"https://pith.science/api/pith-number/3UIRMBKC5BZUOBLN4T5CCRJOZJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3UIRMBKC5BZUOBLN4T5CCRJOZJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3UIRMBKC5BZUOBLN4T5CCRJOZJ/action/storage_attestation","attest_author":"https://pith.science/pith/3UIRMBKC5BZUOBLN4T5CCRJOZJ/action/author_attestation","sign_citation":"https://pith.science/pith/3UIRMBKC5BZUOBLN4T5CCRJOZJ/action/citation_signature","submit_replication":"https://pith.science/pith/3UIRMBKC5BZUOBLN4T5CCRJOZJ/action/replication_record"}},"created_at":"2026-05-18T01:10:18.800444+00:00","updated_at":"2026-05-18T01:10:18.800444+00:00"}