{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:BKMSWRMJPQTT74MEAL4KOVMIBM","short_pith_number":"pith:BKMSWRMJ","schema_version":"1.0","canonical_sha256":"0a992b45897c273ff18402f8a755880b01aa931fe2b7f07d7229f166870a7451","source":{"kind":"arxiv","id":"1801.06559","version":1},"attestation_state":"computed","paper":{"title":"Phase transition for the system of small volume in the $\\phi^4$ theory in the Tsallis nonextensive statistics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"Masamichi Ishihara","submitted_at":"2017-12-07T01:01:56Z","abstract_excerpt":"We studied the effects of the nonextensivity on the phase transition for the system of small volume $V$ in the $\\phi^4$ theory in the Tsallis nonextensive statistics of entropic parameter $q$ and temperature $T$, when the deviation from the Boltzmann-Gibbs statistics, $|q-1|$, is small. We calculated the condensate and the mass to the order $q-1$ with the normalized $q$-expectation value under the massless free particle approximation. The following facts were found. The condensate $\\Phi$ divided by $v$, $\\Phi/v$, at $q$ is smaller than that at $q'$ for $q>q'$ as a function of $T_{\\mathrm{ph}}/"},"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":"1801.06559","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-12-07T01:01:56Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"1cab29bbd5fc4c21a409be4ab3756b0e3a4efbe19082b4426ca90ed026baa1e6","abstract_canon_sha256":"c3a2e4905da12ed5f475625f4740b48859a1c4b00183314565d27e8bd2833bc0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:41.070604Z","signature_b64":"m/YyYWec2MKmwSLloc/c0dcDr2KFvifWF4PZgGMs0jLm31y421OaTCi1A4j4/GommI2kQq2naPjz3qi/cSOfCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a992b45897c273ff18402f8a755880b01aa931fe2b7f07d7229f166870a7451","last_reissued_at":"2026-05-18T00:17:41.069941Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:41.069941Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Phase transition for the system of small volume in the $\\phi^4$ theory in the Tsallis nonextensive statistics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"Masamichi Ishihara","submitted_at":"2017-12-07T01:01:56Z","abstract_excerpt":"We studied the effects of the nonextensivity on the phase transition for the system of small volume $V$ in the $\\phi^4$ theory in the Tsallis nonextensive statistics of entropic parameter $q$ and temperature $T$, when the deviation from the Boltzmann-Gibbs statistics, $|q-1|$, is small. We calculated the condensate and the mass to the order $q-1$ with the normalized $q$-expectation value under the massless free particle approximation. The following facts were found. The condensate $\\Phi$ divided by $v$, $\\Phi/v$, at $q$ is smaller than that at $q'$ for $q>q'$ as a function of $T_{\\mathrm{ph}}/"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.06559","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":""},"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":"1801.06559","created_at":"2026-05-18T00:17:41.070031+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.06559v1","created_at":"2026-05-18T00:17:41.070031+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.06559","created_at":"2026-05-18T00:17:41.070031+00:00"},{"alias_kind":"pith_short_12","alias_value":"BKMSWRMJPQTT","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_16","alias_value":"BKMSWRMJPQTT74ME","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_8","alias_value":"BKMSWRMJ","created_at":"2026-05-18T12:31:08.081275+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BKMSWRMJPQTT74MEAL4KOVMIBM","json":"https://pith.science/pith/BKMSWRMJPQTT74MEAL4KOVMIBM.json","graph_json":"https://pith.science/api/pith-number/BKMSWRMJPQTT74MEAL4KOVMIBM/graph.json","events_json":"https://pith.science/api/pith-number/BKMSWRMJPQTT74MEAL4KOVMIBM/events.json","paper":"https://pith.science/paper/BKMSWRMJ"},"agent_actions":{"view_html":"https://pith.science/pith/BKMSWRMJPQTT74MEAL4KOVMIBM","download_json":"https://pith.science/pith/BKMSWRMJPQTT74MEAL4KOVMIBM.json","view_paper":"https://pith.science/paper/BKMSWRMJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.06559&json=true","fetch_graph":"https://pith.science/api/pith-number/BKMSWRMJPQTT74MEAL4KOVMIBM/graph.json","fetch_events":"https://pith.science/api/pith-number/BKMSWRMJPQTT74MEAL4KOVMIBM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BKMSWRMJPQTT74MEAL4KOVMIBM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BKMSWRMJPQTT74MEAL4KOVMIBM/action/storage_attestation","attest_author":"https://pith.science/pith/BKMSWRMJPQTT74MEAL4KOVMIBM/action/author_attestation","sign_citation":"https://pith.science/pith/BKMSWRMJPQTT74MEAL4KOVMIBM/action/citation_signature","submit_replication":"https://pith.science/pith/BKMSWRMJPQTT74MEAL4KOVMIBM/action/replication_record"}},"created_at":"2026-05-18T00:17:41.070031+00:00","updated_at":"2026-05-18T00:17:41.070031+00:00"}