{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4S7ZVERFBYP6DBZTXVGTEB4FHH","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":"848ae29c9952c77d82bd5754891b10ed4ea2c05fab35faaa4a01e62d57c04403","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-13T18:23:07Z","title_canon_sha256":"96952acb9050a26401cc897715cffb57cb4a2d7171a665ce8b03cfb68ac43bfc"},"schema_version":"1.0","source":{"id":"1204.3067","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.3067","created_at":"2026-05-18T03:40:14Z"},{"alias_kind":"arxiv_version","alias_value":"1204.3067v2","created_at":"2026-05-18T03:40:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3067","created_at":"2026-05-18T03:40:14Z"},{"alias_kind":"pith_short_12","alias_value":"4S7ZVERFBYP6","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4S7ZVERFBYP6DBZT","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4S7ZVERF","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:8110bb2905c87c586402d73898fab63792eff5898c3e3c79a270388bcf85fa52","target":"graph","created_at":"2026-05-18T03:40:14Z","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":"Recently, the deformed \\mu-Bose gas model based on so called \\mu-deformed oscillators was proposed. For that model, the intercepts of r-particle momentum correlation functions (correlation functions at coinciding momenta of particles) were treated for r=2,3, within certain order of approximation in \\mu. In this work, we derive for \\mu-Bose gas model the {\\it exact} expressions for r-particle correlation function intercepts, for all r, through Lerch transcendent and find their asymptotics (as functions of \\mu). For 2-, 3-particle intercepts and deformed distribution function <a^\\dag_k a_k> the ","authors_text":"A.M. Gavrilik, Yu.A. Mishchenko","cross_cats":["cond-mat.stat-mech","hep-th","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-13T18:23:07Z","title":"Exact expressions for the intercepts of r-particle momentum correlation functions in \\mu-Bose gas model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3067","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":"sha256:63d990d2ae7c933ff85d388d1b7238eb7cf21ba83cb19ef434622d9f52b2e3f1","target":"record","created_at":"2026-05-18T03:40:14Z","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":"848ae29c9952c77d82bd5754891b10ed4ea2c05fab35faaa4a01e62d57c04403","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-13T18:23:07Z","title_canon_sha256":"96952acb9050a26401cc897715cffb57cb4a2d7171a665ce8b03cfb68ac43bfc"},"schema_version":"1.0","source":{"id":"1204.3067","kind":"arxiv","version":2}},"canonical_sha256":"e4bf9a92250e1fe18733bd4d32078539f86d0e56ef0de78a97bcbd704d6373c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e4bf9a92250e1fe18733bd4d32078539f86d0e56ef0de78a97bcbd704d6373c7","first_computed_at":"2026-05-18T03:40:14.203515Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:40:14.203515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ExLrT3Gc+/6dfuMTdhv3arHXeYTQTAJkM1pO64EVUvXdxLmLVw5LdAMcnsAqhviWenUbG8uDcP9qD592LqpcBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:40:14.204182Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.3067","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:63d990d2ae7c933ff85d388d1b7238eb7cf21ba83cb19ef434622d9f52b2e3f1","sha256:8110bb2905c87c586402d73898fab63792eff5898c3e3c79a270388bcf85fa52"],"state_sha256":"3d59f87226fee4bf7af78086d9f4ca77a897348b4f49fc72f4ae197a9b58d9cd"}