{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:EHDY4V4FOTMK4WKVSJGLTHFQS7","short_pith_number":"pith:EHDY4V4F","schema_version":"1.0","canonical_sha256":"21c78e578574d8ae5955924cb99cb097cc3507df1c281d7550a0a520e8825123","source":{"kind":"arxiv","id":"1610.07973","version":1},"attestation_state":"computed","paper":{"title":"Geometric realizations of affine Kac-Moody algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.FA","math.MP","math.OA"],"primary_cat":"math.RT","authors_text":"Libor K\\v{r}i\\v{z}ka, Petr Somberg, Vyacheslav Futorny","submitted_at":"2016-10-25T17:22:03Z","abstract_excerpt":"The goal of the present paper is to obtain new free field realizations of affine Kac-Moody algebras motivated by geometric representation theory for generalized flag manifolds of finite-dimensional semisimple Lie groups. We provide an explicit construction of a large class of irreducible modules associated with certain parabolic subalgebras covering all known special cases."},"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":"1610.07973","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-10-25T17:22:03Z","cross_cats_sorted":["math-ph","math.AG","math.FA","math.MP","math.OA"],"title_canon_sha256":"d990ed70044696296a1c9fd7b068222bac9ef9300a06cc9e9206ab66d9fa4e8e","abstract_canon_sha256":"14ff71fb3af83b76b57dabc5503908012a63c75c1257a873dd917262482c43b1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:17.066233Z","signature_b64":"qe7sUCKHFJcrHqLe/nECD4bqy4lCq4rrWCIngByDiku3v0WdgbxgG1Nq2wzUqAISuuIjqVkjRu9OeUOkZIw4BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"21c78e578574d8ae5955924cb99cb097cc3507df1c281d7550a0a520e8825123","last_reissued_at":"2026-05-18T01:01:17.065636Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:17.065636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometric realizations of affine Kac-Moody algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.FA","math.MP","math.OA"],"primary_cat":"math.RT","authors_text":"Libor K\\v{r}i\\v{z}ka, Petr Somberg, Vyacheslav Futorny","submitted_at":"2016-10-25T17:22:03Z","abstract_excerpt":"The goal of the present paper is to obtain new free field realizations of affine Kac-Moody algebras motivated by geometric representation theory for generalized flag manifolds of finite-dimensional semisimple Lie groups. We provide an explicit construction of a large class of irreducible modules associated with certain parabolic subalgebras covering all known special cases."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.07973","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":"1610.07973","created_at":"2026-05-18T01:01:17.065747+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.07973v1","created_at":"2026-05-18T01:01:17.065747+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.07973","created_at":"2026-05-18T01:01:17.065747+00:00"},{"alias_kind":"pith_short_12","alias_value":"EHDY4V4FOTMK","created_at":"2026-05-18T12:30:12.583610+00:00"},{"alias_kind":"pith_short_16","alias_value":"EHDY4V4FOTMK4WKV","created_at":"2026-05-18T12:30:12.583610+00:00"},{"alias_kind":"pith_short_8","alias_value":"EHDY4V4F","created_at":"2026-05-18T12:30:12.583610+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/EHDY4V4FOTMK4WKVSJGLTHFQS7","json":"https://pith.science/pith/EHDY4V4FOTMK4WKVSJGLTHFQS7.json","graph_json":"https://pith.science/api/pith-number/EHDY4V4FOTMK4WKVSJGLTHFQS7/graph.json","events_json":"https://pith.science/api/pith-number/EHDY4V4FOTMK4WKVSJGLTHFQS7/events.json","paper":"https://pith.science/paper/EHDY4V4F"},"agent_actions":{"view_html":"https://pith.science/pith/EHDY4V4FOTMK4WKVSJGLTHFQS7","download_json":"https://pith.science/pith/EHDY4V4FOTMK4WKVSJGLTHFQS7.json","view_paper":"https://pith.science/paper/EHDY4V4F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.07973&json=true","fetch_graph":"https://pith.science/api/pith-number/EHDY4V4FOTMK4WKVSJGLTHFQS7/graph.json","fetch_events":"https://pith.science/api/pith-number/EHDY4V4FOTMK4WKVSJGLTHFQS7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EHDY4V4FOTMK4WKVSJGLTHFQS7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EHDY4V4FOTMK4WKVSJGLTHFQS7/action/storage_attestation","attest_author":"https://pith.science/pith/EHDY4V4FOTMK4WKVSJGLTHFQS7/action/author_attestation","sign_citation":"https://pith.science/pith/EHDY4V4FOTMK4WKVSJGLTHFQS7/action/citation_signature","submit_replication":"https://pith.science/pith/EHDY4V4FOTMK4WKVSJGLTHFQS7/action/replication_record"}},"created_at":"2026-05-18T01:01:17.065747+00:00","updated_at":"2026-05-18T01:01:17.065747+00:00"}