{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KQIHEAUR7HIFAD6GKQYVJZO7I3","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":"d078fbedb77047b6148b6497d9eecf2822d7472914eab00e5e346ab8d02fabac","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-05-12T13:53:32Z","title_canon_sha256":"61b35513b4a64f95a6c371fb5fad6ba1dbba0fd3f3f61cfb660f0bda747defce"},"schema_version":"1.0","source":{"id":"1405.2758","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.2758","created_at":"2026-05-18T01:18:19Z"},{"alias_kind":"arxiv_version","alias_value":"1405.2758v1","created_at":"2026-05-18T01:18:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.2758","created_at":"2026-05-18T01:18:19Z"},{"alias_kind":"pith_short_12","alias_value":"KQIHEAUR7HIF","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KQIHEAUR7HIFAD6G","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KQIHEAUR","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:21a9c0936f8cf9b590268f1e525a53dc85e6afa9a39e07d84d160098346f62cf","target":"graph","created_at":"2026-05-18T01:18:19Z","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 use the generating function of the characters of $C_2$ to obtain a generating function for the multiplicities of the weights entering in the irreducible representations of that simple Lie algebra. From this generating function we derive some recurrence relations among the multiplicities and a simple graphical recipe to compute them.","authors_text":"Askold M. Perelomov, Jos\\'e Fern\\'andez Nu\\~nez, Wifredo Garc\\'ia Fuertes","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-05-12T13:53:32Z","title":"On the generating function of weight multiplicities for the representations of the Lie algebra $C_2$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.2758","kind":"arxiv","version":1},"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":"sha256:566183f279eb69df8e17bdb393f0a4afbb078eb17a67930adc29a62deeadfd42","target":"record","created_at":"2026-05-18T01:18:19Z","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":"d078fbedb77047b6148b6497d9eecf2822d7472914eab00e5e346ab8d02fabac","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-05-12T13:53:32Z","title_canon_sha256":"61b35513b4a64f95a6c371fb5fad6ba1dbba0fd3f3f61cfb660f0bda747defce"},"schema_version":"1.0","source":{"id":"1405.2758","kind":"arxiv","version":1}},"canonical_sha256":"5410720291f9d0500fc6543154e5df46f1f009985bb73209a439e01c167f771b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5410720291f9d0500fc6543154e5df46f1f009985bb73209a439e01c167f771b","first_computed_at":"2026-05-18T01:18:19.231983Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:19.231983Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H3GO1NCsWhHTJNwdwHzGR7AnPdYIJHkEVlnLo2YZGQ8pPX+Q1r54Wvk6zPMoCvPYj2cInT724Rz9rU4T1XW2Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:19.232667Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.2758","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:566183f279eb69df8e17bdb393f0a4afbb078eb17a67930adc29a62deeadfd42","sha256:21a9c0936f8cf9b590268f1e525a53dc85e6afa9a39e07d84d160098346f62cf"],"state_sha256":"e7c43e13067df702de43aa9d1f5b811c5db4a55f60835a8d38a6ed961e3fa234"}