{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:IT4FCAWG2LDFUMKRMXXMCPA3Q4","short_pith_number":"pith:IT4FCAWG","schema_version":"1.0","canonical_sha256":"44f85102c6d2c65a315165eec13c1b8713d2584ba0cb3bc12c1d3700b92f1232","source":{"kind":"arxiv","id":"0809.4010","version":3},"attestation_state":"computed","paper":{"title":"Vertex operators and the geometry of moduli spaces of framed torsion-free sheaves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.RT","authors_text":"Alistair Savage, Anthony Licata","submitted_at":"2008-09-23T20:04:52Z","abstract_excerpt":"We define complexes of vector bundles on products of moduli spaces of framed rank r torsion-free sheaves on the complex projective plane. The top non-vanishing Chern classes of the cohomology of these complexes yield actions of the r-colored Heisenberg and Clifford algebras on the equivariant cohomology of the moduli spaces. In this way we obtain a geometric realization of the boson-fermion correspondence and related vertex operators."},"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":"0809.4010","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2008-09-23T20:04:52Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"ed866cca2f952a703a9434f28d9a38a58f4f973f0633723f366f9d3330033c55","abstract_canon_sha256":"ff7797dd36b09d3a9172f4233ae8c8e1eb3f2a2ff2ea251f0b5036e4f8045a72"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:01:26.761417Z","signature_b64":"O++krqRQ6ak/4/qmk1Izj+iM1V9VsAJ8BvHOd1nTbWoJsDj8GSDEE3cZPrEn2PaDRM8W/lDfFGj5GwIpDH/oBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"44f85102c6d2c65a315165eec13c1b8713d2584ba0cb3bc12c1d3700b92f1232","last_reissued_at":"2026-05-18T04:01:26.760768Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:01:26.760768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Vertex operators and the geometry of moduli spaces of framed torsion-free sheaves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.RT","authors_text":"Alistair Savage, Anthony Licata","submitted_at":"2008-09-23T20:04:52Z","abstract_excerpt":"We define complexes of vector bundles on products of moduli spaces of framed rank r torsion-free sheaves on the complex projective plane. The top non-vanishing Chern classes of the cohomology of these complexes yield actions of the r-colored Heisenberg and Clifford algebras on the equivariant cohomology of the moduli spaces. In this way we obtain a geometric realization of the boson-fermion correspondence and related vertex operators."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.4010","kind":"arxiv","version":3},"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":"0809.4010","created_at":"2026-05-18T04:01:26.760856+00:00"},{"alias_kind":"arxiv_version","alias_value":"0809.4010v3","created_at":"2026-05-18T04:01:26.760856+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.4010","created_at":"2026-05-18T04:01:26.760856+00:00"},{"alias_kind":"pith_short_12","alias_value":"IT4FCAWG2LDF","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_16","alias_value":"IT4FCAWG2LDFUMKR","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_8","alias_value":"IT4FCAWG","created_at":"2026-05-18T12:25:57.157939+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/IT4FCAWG2LDFUMKRMXXMCPA3Q4","json":"https://pith.science/pith/IT4FCAWG2LDFUMKRMXXMCPA3Q4.json","graph_json":"https://pith.science/api/pith-number/IT4FCAWG2LDFUMKRMXXMCPA3Q4/graph.json","events_json":"https://pith.science/api/pith-number/IT4FCAWG2LDFUMKRMXXMCPA3Q4/events.json","paper":"https://pith.science/paper/IT4FCAWG"},"agent_actions":{"view_html":"https://pith.science/pith/IT4FCAWG2LDFUMKRMXXMCPA3Q4","download_json":"https://pith.science/pith/IT4FCAWG2LDFUMKRMXXMCPA3Q4.json","view_paper":"https://pith.science/paper/IT4FCAWG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0809.4010&json=true","fetch_graph":"https://pith.science/api/pith-number/IT4FCAWG2LDFUMKRMXXMCPA3Q4/graph.json","fetch_events":"https://pith.science/api/pith-number/IT4FCAWG2LDFUMKRMXXMCPA3Q4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IT4FCAWG2LDFUMKRMXXMCPA3Q4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IT4FCAWG2LDFUMKRMXXMCPA3Q4/action/storage_attestation","attest_author":"https://pith.science/pith/IT4FCAWG2LDFUMKRMXXMCPA3Q4/action/author_attestation","sign_citation":"https://pith.science/pith/IT4FCAWG2LDFUMKRMXXMCPA3Q4/action/citation_signature","submit_replication":"https://pith.science/pith/IT4FCAWG2LDFUMKRMXXMCPA3Q4/action/replication_record"}},"created_at":"2026-05-18T04:01:26.760856+00:00","updated_at":"2026-05-18T04:01:26.760856+00:00"}