{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:SFKEFZ5MV3HUVLXDQU3YYYXP3H","short_pith_number":"pith:SFKEFZ5M","schema_version":"1.0","canonical_sha256":"915442e7acaecf4aaee385378c62efd9c26ca70ed10d0eb80432c45f9642bbdd","source":{"kind":"arxiv","id":"1206.0664","version":1},"attestation_state":"computed","paper":{"title":"String Partition Functions, Hilbert Schemes, and Affine Lie Algebra Representations on Homology Groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Andrey Bytsenko, Emilio Elizalde, Loriano Bonora","submitted_at":"2012-06-04T16:23:25Z","abstract_excerpt":"This review paper contains a concise introduction to highest weight representations of infinite dimensional Lie algebras, vertex operator algebras and Hilbert schemes of points, together with their physical applications to elliptic genera of superconformal quantum mechanics and superstring models. The common link of all these concepts and of the many examples considered in the paper is to be found in a very important feature of the theory of infinite dimensional Lie algebras: the modular properties of the characters (generating functions) of certain representations. The characters of the highe"},"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":"1206.0664","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-06-04T16:23:25Z","cross_cats_sorted":[],"title_canon_sha256":"d473ade74d1fd551f6c1b569a38e0bb931c7daf3fa912f6d14f6c39b42561eb4","abstract_canon_sha256":"7fb1db6b028b8a773ae2e609e05b7fabf7ca63e327d44b5551626d3cd8584da5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:08.165978Z","signature_b64":"RkEQAOiZ+LN5KzdFssQddMpuLBXUf3Cq8tjxIdcWlEhaamxIuaKV4TW/GwXyvfeXFemKzv13VIJ/9sjqXNThDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"915442e7acaecf4aaee385378c62efd9c26ca70ed10d0eb80432c45f9642bbdd","last_reissued_at":"2026-05-18T01:57:08.165018Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:08.165018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"String Partition Functions, Hilbert Schemes, and Affine Lie Algebra Representations on Homology Groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Andrey Bytsenko, Emilio Elizalde, Loriano Bonora","submitted_at":"2012-06-04T16:23:25Z","abstract_excerpt":"This review paper contains a concise introduction to highest weight representations of infinite dimensional Lie algebras, vertex operator algebras and Hilbert schemes of points, together with their physical applications to elliptic genera of superconformal quantum mechanics and superstring models. The common link of all these concepts and of the many examples considered in the paper is to be found in a very important feature of the theory of infinite dimensional Lie algebras: the modular properties of the characters (generating functions) of certain representations. The characters of the highe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.0664","kind":"arxiv","version":1},"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":"1206.0664","created_at":"2026-05-18T01:57:08.165174+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.0664v1","created_at":"2026-05-18T01:57:08.165174+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.0664","created_at":"2026-05-18T01:57:08.165174+00:00"},{"alias_kind":"pith_short_12","alias_value":"SFKEFZ5MV3HU","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_16","alias_value":"SFKEFZ5MV3HUVLXD","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_8","alias_value":"SFKEFZ5M","created_at":"2026-05-18T12:27:20.899486+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/SFKEFZ5MV3HUVLXDQU3YYYXP3H","json":"https://pith.science/pith/SFKEFZ5MV3HUVLXDQU3YYYXP3H.json","graph_json":"https://pith.science/api/pith-number/SFKEFZ5MV3HUVLXDQU3YYYXP3H/graph.json","events_json":"https://pith.science/api/pith-number/SFKEFZ5MV3HUVLXDQU3YYYXP3H/events.json","paper":"https://pith.science/paper/SFKEFZ5M"},"agent_actions":{"view_html":"https://pith.science/pith/SFKEFZ5MV3HUVLXDQU3YYYXP3H","download_json":"https://pith.science/pith/SFKEFZ5MV3HUVLXDQU3YYYXP3H.json","view_paper":"https://pith.science/paper/SFKEFZ5M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.0664&json=true","fetch_graph":"https://pith.science/api/pith-number/SFKEFZ5MV3HUVLXDQU3YYYXP3H/graph.json","fetch_events":"https://pith.science/api/pith-number/SFKEFZ5MV3HUVLXDQU3YYYXP3H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SFKEFZ5MV3HUVLXDQU3YYYXP3H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SFKEFZ5MV3HUVLXDQU3YYYXP3H/action/storage_attestation","attest_author":"https://pith.science/pith/SFKEFZ5MV3HUVLXDQU3YYYXP3H/action/author_attestation","sign_citation":"https://pith.science/pith/SFKEFZ5MV3HUVLXDQU3YYYXP3H/action/citation_signature","submit_replication":"https://pith.science/pith/SFKEFZ5MV3HUVLXDQU3YYYXP3H/action/replication_record"}},"created_at":"2026-05-18T01:57:08.165174+00:00","updated_at":"2026-05-18T01:57:08.165174+00:00"}