{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:KE3FLPFDFLPOPLE6VXFZS3POB4","short_pith_number":"pith:KE3FLPFD","schema_version":"1.0","canonical_sha256":"513655bca32adee7ac9eadcb996dee0f330335c98725e959ce5112712277bd34","source":{"kind":"arxiv","id":"1305.1394","version":2},"attestation_state":"computed","paper":{"title":"Schur function identities arising from the basic representation of $A^{(2)}_{2}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.RT","authors_text":"Hiro-Fumi Yamada, Hiroshi Mizukawa, Ryoji Seno, Tatsuhiro Nakajima","submitted_at":"2013-05-07T04:04:26Z","abstract_excerpt":"A Lie theoretic interpretation is given for some formulas of Schur functions and Schur $Q$-functions. Two realizations of the basic representation of the Lie algebra $A^{(2)}_2$ are considered; one is on the fermionic Fock space and the other is on the bosonic polynomial space. Via the boson-fermion correspondence, simple relations of the vacuum expectation values of fermions turn out to be algebraic relations of Schur functions."},"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":"1305.1394","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-05-07T04:04:26Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"d8056966b81917393cae4ad12ddf94e9d758daa892746854f8902484ac4a0345","abstract_canon_sha256":"84b1a2c46655c5af0a96de408e2099622d00b3f5614180ed30216b2b321bc2e4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:50:05.382999Z","signature_b64":"XC2VwZRHE9S4hGT+nb4VYPvzbuABRRgkcVAymDt2jjCv417Eyrxq2I+9wqfxT8I7D06r88yW9Zf9VcGQ8X++CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"513655bca32adee7ac9eadcb996dee0f330335c98725e959ce5112712277bd34","last_reissued_at":"2026-05-18T01:50:05.382488Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:50:05.382488Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Schur function identities arising from the basic representation of $A^{(2)}_{2}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.RT","authors_text":"Hiro-Fumi Yamada, Hiroshi Mizukawa, Ryoji Seno, Tatsuhiro Nakajima","submitted_at":"2013-05-07T04:04:26Z","abstract_excerpt":"A Lie theoretic interpretation is given for some formulas of Schur functions and Schur $Q$-functions. Two realizations of the basic representation of the Lie algebra $A^{(2)}_2$ are considered; one is on the fermionic Fock space and the other is on the bosonic polynomial space. Via the boson-fermion correspondence, simple relations of the vacuum expectation values of fermions turn out to be algebraic relations of Schur functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.1394","kind":"arxiv","version":2},"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":"1305.1394","created_at":"2026-05-18T01:50:05.382573+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.1394v2","created_at":"2026-05-18T01:50:05.382573+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.1394","created_at":"2026-05-18T01:50:05.382573+00:00"},{"alias_kind":"pith_short_12","alias_value":"KE3FLPFDFLPO","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_16","alias_value":"KE3FLPFDFLPOPLE6","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_8","alias_value":"KE3FLPFD","created_at":"2026-05-18T12:27:49.015174+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/KE3FLPFDFLPOPLE6VXFZS3POB4","json":"https://pith.science/pith/KE3FLPFDFLPOPLE6VXFZS3POB4.json","graph_json":"https://pith.science/api/pith-number/KE3FLPFDFLPOPLE6VXFZS3POB4/graph.json","events_json":"https://pith.science/api/pith-number/KE3FLPFDFLPOPLE6VXFZS3POB4/events.json","paper":"https://pith.science/paper/KE3FLPFD"},"agent_actions":{"view_html":"https://pith.science/pith/KE3FLPFDFLPOPLE6VXFZS3POB4","download_json":"https://pith.science/pith/KE3FLPFDFLPOPLE6VXFZS3POB4.json","view_paper":"https://pith.science/paper/KE3FLPFD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.1394&json=true","fetch_graph":"https://pith.science/api/pith-number/KE3FLPFDFLPOPLE6VXFZS3POB4/graph.json","fetch_events":"https://pith.science/api/pith-number/KE3FLPFDFLPOPLE6VXFZS3POB4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KE3FLPFDFLPOPLE6VXFZS3POB4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KE3FLPFDFLPOPLE6VXFZS3POB4/action/storage_attestation","attest_author":"https://pith.science/pith/KE3FLPFDFLPOPLE6VXFZS3POB4/action/author_attestation","sign_citation":"https://pith.science/pith/KE3FLPFDFLPOPLE6VXFZS3POB4/action/citation_signature","submit_replication":"https://pith.science/pith/KE3FLPFDFLPOPLE6VXFZS3POB4/action/replication_record"}},"created_at":"2026-05-18T01:50:05.382573+00:00","updated_at":"2026-05-18T01:50:05.382573+00:00"}