{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:33IACQ5FSZTRXT76JPWTVXK5NL","short_pith_number":"pith:33IACQ5F","schema_version":"1.0","canonical_sha256":"ded00143a596671bcffe4bed3add5d6ae78f2bd9ddb96ea59b20badcd591ceb1","source":{"kind":"arxiv","id":"1603.04594","version":1},"attestation_state":"computed","paper":{"title":"Bases of Feigin-Stoyanovsky's type subspaces for $C_\\ell^{(1)}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Goran Trup\\v{c}evi\\'c, Ivana Baranovi\\'c, Mirko Primc","submitted_at":"2016-03-15T08:48:52Z","abstract_excerpt":"In this paper we construct combinatorial bases of Feigin-Stoyanovsky's type subspaces of standard modules for level $k$ affine Lie algebra $C_\\ell^{(1)}$. We prove spanning by using annihilating field $x_\\theta (z)^{k+1}$ of standard modules. In the proof of linear independence we use simple currents and intertwinining operators whose existence is given by fusion rules."},"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":"1603.04594","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-03-15T08:48:52Z","cross_cats_sorted":[],"title_canon_sha256":"aec778f41daa08f47ac6aaf7fb6b5f1c62a09d6c74fe43d09fc5d3c038a5ffde","abstract_canon_sha256":"f970076b8bdb9867a978ad65936196be268bd49eb4d1818fa0074ed230743c1b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:04.413308Z","signature_b64":"FyW+S9Rd8BEvG8QnimQN4b7GsVJ55TK1TRXXyCbneqQpCk70U+56UUedKxhfB4pzv5rD/FKvvi1He2hYnUszBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ded00143a596671bcffe4bed3add5d6ae78f2bd9ddb96ea59b20badcd591ceb1","last_reissued_at":"2026-05-18T01:19:04.412728Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:04.412728Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bases of Feigin-Stoyanovsky's type subspaces for $C_\\ell^{(1)}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Goran Trup\\v{c}evi\\'c, Ivana Baranovi\\'c, Mirko Primc","submitted_at":"2016-03-15T08:48:52Z","abstract_excerpt":"In this paper we construct combinatorial bases of Feigin-Stoyanovsky's type subspaces of standard modules for level $k$ affine Lie algebra $C_\\ell^{(1)}$. We prove spanning by using annihilating field $x_\\theta (z)^{k+1}$ of standard modules. In the proof of linear independence we use simple currents and intertwinining operators whose existence is given by fusion rules."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.04594","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":"1603.04594","created_at":"2026-05-18T01:19:04.412800+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.04594v1","created_at":"2026-05-18T01:19:04.412800+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.04594","created_at":"2026-05-18T01:19:04.412800+00:00"},{"alias_kind":"pith_short_12","alias_value":"33IACQ5FSZTR","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_16","alias_value":"33IACQ5FSZTRXT76","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_8","alias_value":"33IACQ5F","created_at":"2026-05-18T12:29:55.572404+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2504.15597","citing_title":"Linear Independence for $A_1^{(1)}$ by Using $C_{2}^{(1)}$","ref_index":1,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/33IACQ5FSZTRXT76JPWTVXK5NL","json":"https://pith.science/pith/33IACQ5FSZTRXT76JPWTVXK5NL.json","graph_json":"https://pith.science/api/pith-number/33IACQ5FSZTRXT76JPWTVXK5NL/graph.json","events_json":"https://pith.science/api/pith-number/33IACQ5FSZTRXT76JPWTVXK5NL/events.json","paper":"https://pith.science/paper/33IACQ5F"},"agent_actions":{"view_html":"https://pith.science/pith/33IACQ5FSZTRXT76JPWTVXK5NL","download_json":"https://pith.science/pith/33IACQ5FSZTRXT76JPWTVXK5NL.json","view_paper":"https://pith.science/paper/33IACQ5F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.04594&json=true","fetch_graph":"https://pith.science/api/pith-number/33IACQ5FSZTRXT76JPWTVXK5NL/graph.json","fetch_events":"https://pith.science/api/pith-number/33IACQ5FSZTRXT76JPWTVXK5NL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/33IACQ5FSZTRXT76JPWTVXK5NL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/33IACQ5FSZTRXT76JPWTVXK5NL/action/storage_attestation","attest_author":"https://pith.science/pith/33IACQ5FSZTRXT76JPWTVXK5NL/action/author_attestation","sign_citation":"https://pith.science/pith/33IACQ5FSZTRXT76JPWTVXK5NL/action/citation_signature","submit_replication":"https://pith.science/pith/33IACQ5FSZTRXT76JPWTVXK5NL/action/replication_record"}},"created_at":"2026-05-18T01:19:04.412800+00:00","updated_at":"2026-05-18T01:19:04.412800+00:00"}