{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BAWHE2LUOZMP3A7LCGW43XPCPK","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"3c611c00a70f414b34c1026421b8754e5866cd83196dda503a388e8ce0e9e92e","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-26T15:34:10Z","title_canon_sha256":"0683b4443936c9172b62bb1180cf4e29b7244e3b33cee8e9df48f5bfba2b9bb3"},"schema_version":"1.0","source":{"id":"1304.7203","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.7203","created_at":"2026-05-18T01:50:21Z"},{"alias_kind":"arxiv_version","alias_value":"1304.7203v2","created_at":"2026-05-18T01:50:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.7203","created_at":"2026-05-18T01:50:21Z"},{"alias_kind":"pith_short_12","alias_value":"BAWHE2LUOZMP","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"BAWHE2LUOZMP3A7L","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"BAWHE2LU","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:83ac61a79c1620ed2637921acdd4d159d82dfe7726608886cd5cbb24e68f701e","target":"graph","created_at":"2026-05-18T01:50:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We describe a general approach to obtain the generating functions of the characters of simple Lie algebras which is based on the theory of the quantum trigonometric Calogero-Sutherland model. We show how the method works in practice by means of a few examples involving some low rank classical algebras.","authors_text":"A. M. Perelomov, J. Fern\\'andez N\\'u\\~nez, W. Garc\\'ia Fuertes","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-26T15:34:10Z","title":"On an approach for computing the generating functions of the characters of simple Lie algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.7203","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c9ce64d31f5ee6ccd3ea068a9f891dc9141b1b57f53658e2e61f73733c50aba9","target":"record","created_at":"2026-05-18T01:50:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"3c611c00a70f414b34c1026421b8754e5866cd83196dda503a388e8ce0e9e92e","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-26T15:34:10Z","title_canon_sha256":"0683b4443936c9172b62bb1180cf4e29b7244e3b33cee8e9df48f5bfba2b9bb3"},"schema_version":"1.0","source":{"id":"1304.7203","kind":"arxiv","version":2}},"canonical_sha256":"082c7269747658fd83eb11adcddde27a9371a78a712f669dbf5e9c8c66018433","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"082c7269747658fd83eb11adcddde27a9371a78a712f669dbf5e9c8c66018433","first_computed_at":"2026-05-18T01:50:21.338324Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:50:21.338324Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FLJOWnT9gFooHd+HY5SBhdnYAxHIh4LN4bZgHrf3hZfYXvd4pgumeOQwkLD6HLza3WIAqx1Uaod3ufAIb57nBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:50:21.339053Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.7203","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c9ce64d31f5ee6ccd3ea068a9f891dc9141b1b57f53658e2e61f73733c50aba9","sha256:83ac61a79c1620ed2637921acdd4d159d82dfe7726608886cd5cbb24e68f701e"],"state_sha256":"ad3ba6fe67f2a6feb98175053daa947bd7a256e5a5c3fcd522eb6dada36907e1"}