{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:O5VDRSECMYDRJEGNTBKXCW4O7L","short_pith_number":"pith:O5VDRSEC","schema_version":"1.0","canonical_sha256":"776a38c88266071490cd9855715b8efac4e8819e51cdbb38936176bbf034ff9a","source":{"kind":"arxiv","id":"1212.6444","version":5},"attestation_state":"computed","paper":{"title":"Categorification of Donaldson-Thomas invariants via Perverse Sheaves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jun Li, Young-Hoon Kiem","submitted_at":"2012-12-23T22:41:27Z","abstract_excerpt":"We show that there is a perverse sheaf on a fine moduli space of stable sheaves on a smooth projective Calabi-Yau 3-fold, which is locally the perverse sheaf of vanishing cycles for a local Chern-Simons functional, possibly after taking an etale Galois cover. This perverse sheaf lifts to a mixed Hodge module and gives us a cohomology theory which enables us to define the Gopakumar-Vafa invariants mathematically."},"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":"1212.6444","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-12-23T22:41:27Z","cross_cats_sorted":[],"title_canon_sha256":"70d210cf9c17af9af3f80b4f67b5b595699ed656a953e612e25f9d79a7317696","abstract_canon_sha256":"92cd048676fc7f8b890c7f7fb56c14059d40247c64b3334908a68ee07f7841e3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:49.685258Z","signature_b64":"9mBGAaJafb7kTc3FOMKpaewMfeqLr3C8t6Z8/3MTuJzegPLZoIGo4Iu3tEmpWXCSqslONwXOlhiiGZXO0+cLAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"776a38c88266071490cd9855715b8efac4e8819e51cdbb38936176bbf034ff9a","last_reissued_at":"2026-05-18T01:18:49.684852Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:49.684852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Categorification of Donaldson-Thomas invariants via Perverse Sheaves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jun Li, Young-Hoon Kiem","submitted_at":"2012-12-23T22:41:27Z","abstract_excerpt":"We show that there is a perverse sheaf on a fine moduli space of stable sheaves on a smooth projective Calabi-Yau 3-fold, which is locally the perverse sheaf of vanishing cycles for a local Chern-Simons functional, possibly after taking an etale Galois cover. This perverse sheaf lifts to a mixed Hodge module and gives us a cohomology theory which enables us to define the Gopakumar-Vafa invariants mathematically."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.6444","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":"1212.6444","created_at":"2026-05-18T01:18:49.684909+00:00"},{"alias_kind":"arxiv_version","alias_value":"1212.6444v5","created_at":"2026-05-18T01:18:49.684909+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.6444","created_at":"2026-05-18T01:18:49.684909+00:00"},{"alias_kind":"pith_short_12","alias_value":"O5VDRSECMYDR","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_16","alias_value":"O5VDRSECMYDRJEGN","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_8","alias_value":"O5VDRSEC","created_at":"2026-05-18T12:27:16.716162+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2406.17852","citing_title":"Non-perturbative topological strings from resurgence","ref_index":53,"is_internal_anchor":true},{"citing_arxiv_id":"2604.04008","citing_title":"Shifted symplectic rigidification","ref_index":29,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/O5VDRSECMYDRJEGNTBKXCW4O7L","json":"https://pith.science/pith/O5VDRSECMYDRJEGNTBKXCW4O7L.json","graph_json":"https://pith.science/api/pith-number/O5VDRSECMYDRJEGNTBKXCW4O7L/graph.json","events_json":"https://pith.science/api/pith-number/O5VDRSECMYDRJEGNTBKXCW4O7L/events.json","paper":"https://pith.science/paper/O5VDRSEC"},"agent_actions":{"view_html":"https://pith.science/pith/O5VDRSECMYDRJEGNTBKXCW4O7L","download_json":"https://pith.science/pith/O5VDRSECMYDRJEGNTBKXCW4O7L.json","view_paper":"https://pith.science/paper/O5VDRSEC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1212.6444&json=true","fetch_graph":"https://pith.science/api/pith-number/O5VDRSECMYDRJEGNTBKXCW4O7L/graph.json","fetch_events":"https://pith.science/api/pith-number/O5VDRSECMYDRJEGNTBKXCW4O7L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O5VDRSECMYDRJEGNTBKXCW4O7L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O5VDRSECMYDRJEGNTBKXCW4O7L/action/storage_attestation","attest_author":"https://pith.science/pith/O5VDRSECMYDRJEGNTBKXCW4O7L/action/author_attestation","sign_citation":"https://pith.science/pith/O5VDRSECMYDRJEGNTBKXCW4O7L/action/citation_signature","submit_replication":"https://pith.science/pith/O5VDRSECMYDRJEGNTBKXCW4O7L/action/replication_record"}},"created_at":"2026-05-18T01:18:49.684909+00:00","updated_at":"2026-05-18T01:18:49.684909+00:00"}