{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:LEV2LGUSBUCQUAQORDAPPNHYFO","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":"b72a0217db7a7ac5eb43e6a0dcbe95aeb59fe0162e21434c56ef8816f9bef59d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-05-19T13:37:02Z","title_canon_sha256":"6a1d8a60b262e3a871305ccb0d9173c206ce84292e63fdd5a625d0ff0397a02d"},"schema_version":"1.0","source":{"id":"1405.4717","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.4717","created_at":"2026-05-18T01:43:10Z"},{"alias_kind":"arxiv_version","alias_value":"1405.4717v1","created_at":"2026-05-18T01:43:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.4717","created_at":"2026-05-18T01:43:10Z"},{"alias_kind":"pith_short_12","alias_value":"LEV2LGUSBUCQ","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"LEV2LGUSBUCQUAQO","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"LEV2LGUS","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:fea3a1c4ae3fdb0abb924b2bf0c521fa0a5b00ae6efa48e09ee0012f560ed608","target":"graph","created_at":"2026-05-18T01:43:10Z","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 analyse the role of vertex operator algebra and 2d amplitudes from the point of view of the representation theory of infinite dimensional Lie algebras, MacMahon and Ruelle functions. A p-dimensional MacMahon function is the generating function of p-dimensional partitions of integers. These functions can be represented as amplitudes of a two-dimensional c=1 CFT. In this paper we show that p-dimensional MacMahon functions can be rewritten in terms of Ruelle spectral functions, whose spectrum is encoded in the Patterson-Selberg function of three dimensional hyperbolic geometry.","authors_text":"A. A. Bytsenko (DF/UEL, Brazil), Italy), L. Bonora (SISSA/ISAS, M. E. X. Guimar\\~aes (IF/UFF","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-05-19T13:37:02Z","title":"Generalized q-deformed Correlation Functions as Spectral Functions of Hyperbolic Geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.4717","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:aab683a81b8530f4721299d267baaf4761e21ebe29a1496298e02af5ee677b84","target":"record","created_at":"2026-05-18T01:43:10Z","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":"b72a0217db7a7ac5eb43e6a0dcbe95aeb59fe0162e21434c56ef8816f9bef59d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-05-19T13:37:02Z","title_canon_sha256":"6a1d8a60b262e3a871305ccb0d9173c206ce84292e63fdd5a625d0ff0397a02d"},"schema_version":"1.0","source":{"id":"1405.4717","kind":"arxiv","version":1}},"canonical_sha256":"592ba59a920d050a020e88c0f7b4f82bbb19ef16073949d37a3db1af1bd3f938","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"592ba59a920d050a020e88c0f7b4f82bbb19ef16073949d37a3db1af1bd3f938","first_computed_at":"2026-05-18T01:43:10.966078Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:10.966078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e7ZmMqGiH5WwB9rCYcPGcCapURWx+Z9EfjPx50fF1CEAA6mfh2fvV+v4EMSSuhqjTYvDKWm6aKbiTPb3kTbeCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:10.966758Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.4717","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aab683a81b8530f4721299d267baaf4761e21ebe29a1496298e02af5ee677b84","sha256:fea3a1c4ae3fdb0abb924b2bf0c521fa0a5b00ae6efa48e09ee0012f560ed608"],"state_sha256":"e3c602641e9134c70305976cc82e894ef33eb1a3d6306cbdf58cb5bdd803a2ef"}