{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:4APYZIA2MSMKVG3TCY2HNBFE34","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":"a3bb332d3abf418728f074f305d5732fd2e490f01466bba653e2b49f9c714d0d","cross_cats_sorted":["physics.class-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-02-15T22:46:28Z","title_canon_sha256":"f6481555564188bb2d5a537e2534d9751aa251b7f788a1b20aae7c567ae323e0"},"schema_version":"1.0","source":{"id":"1702.04806","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.04806","created_at":"2026-05-18T00:37:01Z"},{"alias_kind":"arxiv_version","alias_value":"1702.04806v2","created_at":"2026-05-18T00:37:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.04806","created_at":"2026-05-18T00:37:01Z"},{"alias_kind":"pith_short_12","alias_value":"4APYZIA2MSMK","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"4APYZIA2MSMKVG3T","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"4APYZIA2","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:a600f642f6b4cb74d9825d3462fc6b8466ddd6c1a6f0e115cf8e147d0b65c822","target":"graph","created_at":"2026-05-18T00:37:01Z","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":"When one integrates the q-exponential function of Tsallis' so as to get the partition function $Z$, a gamma function inevitably emerges. Consequently, poles arise. We investigate here here the thermodynamic significance of these poles in the case of $n$ classical harmonic oscillators (HO). Given that this is an exceedingly well known system, any new feature that may arise can safely be attributed to the poles' effect. We appeal to the mathematical tools used in [EPJB 89, 150 (2016) and arXiv:1702.03535 (2017)], and obtain both bound and unbound states. In the first case, we are then faced with","authors_text":"A. Plastino, M. C. Rocca","cross_cats":["physics.class-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-02-15T22:46:28Z","title":"Analysis of Tsallis' classical partition function's poles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.04806","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":"sha256:39420355cb29cbc7eb1448307bdfad91117cfea3e5ca221fb6692c7e0ab8d691","target":"record","created_at":"2026-05-18T00:37:01Z","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":"a3bb332d3abf418728f074f305d5732fd2e490f01466bba653e2b49f9c714d0d","cross_cats_sorted":["physics.class-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-02-15T22:46:28Z","title_canon_sha256":"f6481555564188bb2d5a537e2534d9751aa251b7f788a1b20aae7c567ae323e0"},"schema_version":"1.0","source":{"id":"1702.04806","kind":"arxiv","version":2}},"canonical_sha256":"e01f8ca01a6498aa9b7316347684a4df3b75968c81bc0b1c2961e994c61ddfce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e01f8ca01a6498aa9b7316347684a4df3b75968c81bc0b1c2961e994c61ddfce","first_computed_at":"2026-05-18T00:37:01.526498Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:01.526498Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hs/wjJVTyHbQVA6UgFaogz+2HsxK60mfa67iyv40Wx7K8PSxT7AP6O7t6acQoigefIK4jYApNbC9wHWZKZ6RAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:01.527009Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.04806","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39420355cb29cbc7eb1448307bdfad91117cfea3e5ca221fb6692c7e0ab8d691","sha256:a600f642f6b4cb74d9825d3462fc6b8466ddd6c1a6f0e115cf8e147d0b65c822"],"state_sha256":"40cdd08101cc9625de91bf956e785efbab22b537f8b2aa67d180dd8729d780d1"}