{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:UUHZCUQ363DSNP37FY5CXL2ARG","short_pith_number":"pith:UUHZCUQ3","schema_version":"1.0","canonical_sha256":"a50f91521bf6c726bf7f2e3a2baf4089a1ef674244200d7e96a6c02ba894f155","source":{"kind":"arxiv","id":"1910.13840","version":1},"attestation_state":"computed","paper":{"title":"Equivalence of the phenomenological Tsallis distribution to the transverse momentum distribution of $q$-dual statistics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"nucl-th","authors_text":"A.S. Parvan","submitted_at":"2019-10-29T11:07:20Z","abstract_excerpt":"In the present work, we have found that the phenomenological Tsallis distribution (which nowadays is largely used to describe the transverse momentum distributions of hadrons measured in $pp$ collisions at high energies) is consistent with the basis of the statistical mechanics if it belongs to the $q$-dual nonextensive statistics instead of the Tsallis one. We have defined the $q$-dual statistics based on the $q$-dual entropy which was obtained from the Tsallis entropy under the multiplicative transformation of the entropic parameter $q\\to 1/q$. We have found that the phenomenological Tsallis"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1910.13840","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2019-10-29T11:07:20Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"47d133918fe455c0b29e8659a16f351fbaca83864cf56489c55bc007eaf0831d","abstract_canon_sha256":"2a4648ece31753258bbb098e1310e2bff3ddb1fb964a7bd1ab1c69af97579cb6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:38:51.222470Z","signature_b64":"rRbePLTY30iuUTpzZV1KblncSzGMa6tkgPHh6Q202f9v9VkBdOx+re/Sy89sCBoW7OjPyZ7AFufkp+3jc5mWBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a50f91521bf6c726bf7f2e3a2baf4089a1ef674244200d7e96a6c02ba894f155","last_reissued_at":"2026-07-05T03:38:51.222026Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:38:51.222026Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Equivalence of the phenomenological Tsallis distribution to the transverse momentum distribution of $q$-dual statistics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"nucl-th","authors_text":"A.S. Parvan","submitted_at":"2019-10-29T11:07:20Z","abstract_excerpt":"In the present work, we have found that the phenomenological Tsallis distribution (which nowadays is largely used to describe the transverse momentum distributions of hadrons measured in $pp$ collisions at high energies) is consistent with the basis of the statistical mechanics if it belongs to the $q$-dual nonextensive statistics instead of the Tsallis one. We have defined the $q$-dual statistics based on the $q$-dual entropy which was obtained from the Tsallis entropy under the multiplicative transformation of the entropic parameter $q\\to 1/q$. We have found that the phenomenological Tsallis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.13840","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1910.13840/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1910.13840","created_at":"2026-07-05T03:38:51.222078+00:00"},{"alias_kind":"arxiv_version","alias_value":"1910.13840v1","created_at":"2026-07-05T03:38:51.222078+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.13840","created_at":"2026-07-05T03:38:51.222078+00:00"},{"alias_kind":"pith_short_12","alias_value":"UUHZCUQ363DS","created_at":"2026-07-05T03:38:51.222078+00:00"},{"alias_kind":"pith_short_16","alias_value":"UUHZCUQ363DSNP37","created_at":"2026-07-05T03:38:51.222078+00:00"},{"alias_kind":"pith_short_8","alias_value":"UUHZCUQ3","created_at":"2026-07-05T03:38:51.222078+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.04208","citing_title":"Event multiplicity, transverse momentum and energy dependence of charged particle production, and system thermodynamics in $pp$ collisions at the Large Hadron Collider","ref_index":19,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UUHZCUQ363DSNP37FY5CXL2ARG","json":"https://pith.science/pith/UUHZCUQ363DSNP37FY5CXL2ARG.json","graph_json":"https://pith.science/api/pith-number/UUHZCUQ363DSNP37FY5CXL2ARG/graph.json","events_json":"https://pith.science/api/pith-number/UUHZCUQ363DSNP37FY5CXL2ARG/events.json","paper":"https://pith.science/paper/UUHZCUQ3"},"agent_actions":{"view_html":"https://pith.science/pith/UUHZCUQ363DSNP37FY5CXL2ARG","download_json":"https://pith.science/pith/UUHZCUQ363DSNP37FY5CXL2ARG.json","view_paper":"https://pith.science/paper/UUHZCUQ3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1910.13840&json=true","fetch_graph":"https://pith.science/api/pith-number/UUHZCUQ363DSNP37FY5CXL2ARG/graph.json","fetch_events":"https://pith.science/api/pith-number/UUHZCUQ363DSNP37FY5CXL2ARG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UUHZCUQ363DSNP37FY5CXL2ARG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UUHZCUQ363DSNP37FY5CXL2ARG/action/storage_attestation","attest_author":"https://pith.science/pith/UUHZCUQ363DSNP37FY5CXL2ARG/action/author_attestation","sign_citation":"https://pith.science/pith/UUHZCUQ363DSNP37FY5CXL2ARG/action/citation_signature","submit_replication":"https://pith.science/pith/UUHZCUQ363DSNP37FY5CXL2ARG/action/replication_record"}},"created_at":"2026-07-05T03:38:51.222078+00:00","updated_at":"2026-07-05T03:38:51.222078+00:00"}