{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:YVG7A7JIXHMSOOBNIM3ZQUOPWW","short_pith_number":"pith:YVG7A7JI","schema_version":"1.0","canonical_sha256":"c54df07d28b9d927382d43379851cfb5b7ef31c9b770f546665ca15e19b8eeeb","source":{"kind":"arxiv","id":"1409.0550","version":1},"attestation_state":"computed","paper":{"title":"Singular Gelfand-Tsetlin modules of $\\mathfrak{gl}(n)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Dimitar Grantcharov, Luis Enrique Ramirez, Vyacheslav Futorny","submitted_at":"2014-09-01T20:01:47Z","abstract_excerpt":"The classical Gelfand-Tsetlin formulas provide a basis in terms of tableaux and an explicit action of the generators of $\\mathfrak{gl} (n)$ for every irreducible finite-dimensional $\\mathfrak{gl} (n)$-module. These formulas can be used to define a $\\mathfrak{gl} (n)$-module structure on some infinite-dimensional modules - the so-called generic Gelfand-Tsetlin modules. The generic Gelfand-Tsetlin modules are convenient to work with since for every generic tableau there exists a unique irreducible generic Gelfand-Tsetlin module containing this tableau as a basis element. In this paper we initiat"},"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":"1409.0550","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-09-01T20:01:47Z","cross_cats_sorted":[],"title_canon_sha256":"431da7ce64e7e8ff08a16c4ae5c94d910c288afd97b40954ee03e63f71a009a1","abstract_canon_sha256":"5b4bc73ed00f60f1cc3149d322cf94c79d47e938affbb4a605978b4ab38e22ae"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:46.586904Z","signature_b64":"W8L+KqEVfG2e8x8XAjFxJXc0DqbHqpCYOgTO75iom2VmJLtDa749P4p8IB62AmjpzH3GSvc+4xuS/p/mvKkrDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c54df07d28b9d927382d43379851cfb5b7ef31c9b770f546665ca15e19b8eeeb","last_reissued_at":"2026-05-18T02:43:46.586490Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:46.586490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Singular Gelfand-Tsetlin modules of $\\mathfrak{gl}(n)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Dimitar Grantcharov, Luis Enrique Ramirez, Vyacheslav Futorny","submitted_at":"2014-09-01T20:01:47Z","abstract_excerpt":"The classical Gelfand-Tsetlin formulas provide a basis in terms of tableaux and an explicit action of the generators of $\\mathfrak{gl} (n)$ for every irreducible finite-dimensional $\\mathfrak{gl} (n)$-module. These formulas can be used to define a $\\mathfrak{gl} (n)$-module structure on some infinite-dimensional modules - the so-called generic Gelfand-Tsetlin modules. The generic Gelfand-Tsetlin modules are convenient to work with since for every generic tableau there exists a unique irreducible generic Gelfand-Tsetlin module containing this tableau as a basis element. In this paper we initiat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.0550","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":"1409.0550","created_at":"2026-05-18T02:43:46.586561+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.0550v1","created_at":"2026-05-18T02:43:46.586561+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.0550","created_at":"2026-05-18T02:43:46.586561+00:00"},{"alias_kind":"pith_short_12","alias_value":"YVG7A7JIXHMS","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_16","alias_value":"YVG7A7JIXHMSOOBN","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_8","alias_value":"YVG7A7JI","created_at":"2026-05-18T12:28:59.999130+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/YVG7A7JIXHMSOOBNIM3ZQUOPWW","json":"https://pith.science/pith/YVG7A7JIXHMSOOBNIM3ZQUOPWW.json","graph_json":"https://pith.science/api/pith-number/YVG7A7JIXHMSOOBNIM3ZQUOPWW/graph.json","events_json":"https://pith.science/api/pith-number/YVG7A7JIXHMSOOBNIM3ZQUOPWW/events.json","paper":"https://pith.science/paper/YVG7A7JI"},"agent_actions":{"view_html":"https://pith.science/pith/YVG7A7JIXHMSOOBNIM3ZQUOPWW","download_json":"https://pith.science/pith/YVG7A7JIXHMSOOBNIM3ZQUOPWW.json","view_paper":"https://pith.science/paper/YVG7A7JI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.0550&json=true","fetch_graph":"https://pith.science/api/pith-number/YVG7A7JIXHMSOOBNIM3ZQUOPWW/graph.json","fetch_events":"https://pith.science/api/pith-number/YVG7A7JIXHMSOOBNIM3ZQUOPWW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YVG7A7JIXHMSOOBNIM3ZQUOPWW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YVG7A7JIXHMSOOBNIM3ZQUOPWW/action/storage_attestation","attest_author":"https://pith.science/pith/YVG7A7JIXHMSOOBNIM3ZQUOPWW/action/author_attestation","sign_citation":"https://pith.science/pith/YVG7A7JIXHMSOOBNIM3ZQUOPWW/action/citation_signature","submit_replication":"https://pith.science/pith/YVG7A7JIXHMSOOBNIM3ZQUOPWW/action/replication_record"}},"created_at":"2026-05-18T02:43:46.586561+00:00","updated_at":"2026-05-18T02:43:46.586561+00:00"}