{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:7WNMWRGKVWJAB3WZY2WU2GYBEH","short_pith_number":"pith:7WNMWRGK","schema_version":"1.0","canonical_sha256":"fd9acb44caad9200eed9c6ad4d1b0121d8869d54da7fcafa3edc4c5509fc0bc3","source":{"kind":"arxiv","id":"1405.7553","version":1},"attestation_state":"computed","paper":{"title":"A categorification of the boson-fermion correspondence via representation theory of $sl(\\infty)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Igor Frenkel, Ivan Penkov, Vera Serganova","submitted_at":"2014-05-29T13:35:10Z","abstract_excerpt":"In recent years different aspects of categorification of the boson-fermion correspondence have been studied. In this paper we propose a categorification of the boson-fermion correspondence based on the category of tensor modules of the Lie algebra $sl(\\infty)$ of finitary infinite matrices. By $\\mathbb T^+$ we denote the category of \"polynomial\" tensor $sl(\\infty)$-modules. There is a natural \"creation\" functor $\\mathcal T_N: \\mathbb T^+\\to \\mathbb T^+$, $M\\mapsto N\\otimes M,\\quad M,N\\in \\mathbb T^+$. The key idea of the paper is to employ the entire category $\\mathbb T$ of tensor $sl(\\infty)$"},"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":"1405.7553","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-05-29T13:35:10Z","cross_cats_sorted":[],"title_canon_sha256":"7d7e76159a8f15a6300d842a8db910281e419f944cb93aa52e3c014e7501010c","abstract_canon_sha256":"62767ff0b835a720a13d6a2a16b5659d0da41a464fb0b3e497c2874b3490e0cd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:03.461547Z","signature_b64":"FG53i59j/4n49I1FMqGNL8l/f9uFUpPh0NDWfD6OsnnehulTYpCz7ZwEcKcKcTvzVv5hklsOHJu9XYsliCKwBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd9acb44caad9200eed9c6ad4d1b0121d8869d54da7fcafa3edc4c5509fc0bc3","last_reissued_at":"2026-05-18T01:22:03.461041Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:03.461041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A categorification of the boson-fermion correspondence via representation theory of $sl(\\infty)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Igor Frenkel, Ivan Penkov, Vera Serganova","submitted_at":"2014-05-29T13:35:10Z","abstract_excerpt":"In recent years different aspects of categorification of the boson-fermion correspondence have been studied. In this paper we propose a categorification of the boson-fermion correspondence based on the category of tensor modules of the Lie algebra $sl(\\infty)$ of finitary infinite matrices. By $\\mathbb T^+$ we denote the category of \"polynomial\" tensor $sl(\\infty)$-modules. There is a natural \"creation\" functor $\\mathcal T_N: \\mathbb T^+\\to \\mathbb T^+$, $M\\mapsto N\\otimes M,\\quad M,N\\in \\mathbb T^+$. The key idea of the paper is to employ the entire category $\\mathbb T$ of tensor $sl(\\infty)$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.7553","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":"1405.7553","created_at":"2026-05-18T01:22:03.461115+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.7553v1","created_at":"2026-05-18T01:22:03.461115+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.7553","created_at":"2026-05-18T01:22:03.461115+00:00"},{"alias_kind":"pith_short_12","alias_value":"7WNMWRGKVWJA","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_16","alias_value":"7WNMWRGKVWJAB3WZ","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_8","alias_value":"7WNMWRGK","created_at":"2026-05-18T12:28:19.803747+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/7WNMWRGKVWJAB3WZY2WU2GYBEH","json":"https://pith.science/pith/7WNMWRGKVWJAB3WZY2WU2GYBEH.json","graph_json":"https://pith.science/api/pith-number/7WNMWRGKVWJAB3WZY2WU2GYBEH/graph.json","events_json":"https://pith.science/api/pith-number/7WNMWRGKVWJAB3WZY2WU2GYBEH/events.json","paper":"https://pith.science/paper/7WNMWRGK"},"agent_actions":{"view_html":"https://pith.science/pith/7WNMWRGKVWJAB3WZY2WU2GYBEH","download_json":"https://pith.science/pith/7WNMWRGKVWJAB3WZY2WU2GYBEH.json","view_paper":"https://pith.science/paper/7WNMWRGK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.7553&json=true","fetch_graph":"https://pith.science/api/pith-number/7WNMWRGKVWJAB3WZY2WU2GYBEH/graph.json","fetch_events":"https://pith.science/api/pith-number/7WNMWRGKVWJAB3WZY2WU2GYBEH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7WNMWRGKVWJAB3WZY2WU2GYBEH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7WNMWRGKVWJAB3WZY2WU2GYBEH/action/storage_attestation","attest_author":"https://pith.science/pith/7WNMWRGKVWJAB3WZY2WU2GYBEH/action/author_attestation","sign_citation":"https://pith.science/pith/7WNMWRGKVWJAB3WZY2WU2GYBEH/action/citation_signature","submit_replication":"https://pith.science/pith/7WNMWRGKVWJAB3WZY2WU2GYBEH/action/replication_record"}},"created_at":"2026-05-18T01:22:03.461115+00:00","updated_at":"2026-05-18T01:22:03.461115+00:00"}