{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:U4OUATJCPPEBBJ2VJB6TDY3AGX","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":"03b78fc7368ddb73b57fbe3839b4aade8055c4f1bc31fc7feb279767ecc0456e","cross_cats_sorted":["cond-mat.quant-gas","hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-09-05T14:48:32Z","title_canon_sha256":"095209d2b927afd2291b75d077f4ebda7018aca849dd13a9242f7ee4c95bfee6"},"schema_version":"1.0","source":{"id":"1309.1363","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.1363","created_at":"2026-05-18T03:13:59Z"},{"alias_kind":"arxiv_version","alias_value":"1309.1363v1","created_at":"2026-05-18T03:13:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.1363","created_at":"2026-05-18T03:13:59Z"},{"alias_kind":"pith_short_12","alias_value":"U4OUATJCPPEB","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"U4OUATJCPPEBBJ2V","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"U4OUATJC","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:a360964b7a98b98b5696997fff034a1f4218bdb32f833394224713bf36a3f3be","target":"graph","created_at":"2026-05-18T03:13:59Z","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":"For the recently introduced \\mu-deformed analog of Bose gas model (\\mu-Bose gas model) we study some thermodynamical aspects. Namely, we calculate total number of particles and, from it, the deformed partition function, both involving dependence on the deformation parameter \\mu. Such dependence of thermodynamic functions on the \\mu-parameter is at the core of modification of Bose gas model and arises through the use of new techniques given by us, the \\mu-calculus, an alternative to the well-known q-calculus (Jackson derivative and integral). Necessary elements of \\mu-calculus are first present","authors_text":"A.M. Gavrilik, A.P. Rebesh, I.I. Kachurik","cross_cats":["cond-mat.quant-gas","hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-09-05T14:48:32Z","title":"Thermostatistics of \\mu-deformed analog of Bose gas model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.1363","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":"sha256:949ecdf8a32822799132118ac7b0945f32e11ac920d1dcbb7f085642c3cb246e","target":"record","created_at":"2026-05-18T03:13:59Z","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":"03b78fc7368ddb73b57fbe3839b4aade8055c4f1bc31fc7feb279767ecc0456e","cross_cats_sorted":["cond-mat.quant-gas","hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-09-05T14:48:32Z","title_canon_sha256":"095209d2b927afd2291b75d077f4ebda7018aca849dd13a9242f7ee4c95bfee6"},"schema_version":"1.0","source":{"id":"1309.1363","kind":"arxiv","version":1}},"canonical_sha256":"a71d404d227bc810a755487d31e36035caa3fabd9d4d16d893e8123ea544711e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a71d404d227bc810a755487d31e36035caa3fabd9d4d16d893e8123ea544711e","first_computed_at":"2026-05-18T03:13:59.402548Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:59.402548Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YC1GA7c76qpPPvU3GLv5rnGmm1fHkg20G/JHdeFNTc7Hvbyf2dC+HYv7/HA7nPBmOCoTKTVVvCnuCQCLPTtgCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:59.403438Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.1363","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:949ecdf8a32822799132118ac7b0945f32e11ac920d1dcbb7f085642c3cb246e","sha256:a360964b7a98b98b5696997fff034a1f4218bdb32f833394224713bf36a3f3be"],"state_sha256":"3672c7801b7e7d9d609b153ee8633a00389dfd49137d3f3a7b4ce07a43d536d4"}