{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:FAHJ6R5I2DMJ7F2MRUMIBVU7IV","short_pith_number":"pith:FAHJ6R5I","schema_version":"1.0","canonical_sha256":"280e9f47a8d0d89f974c8d1880d69f45426cfbc84b6f1f883b2c86055d30d85e","source":{"kind":"arxiv","id":"2507.17750","version":2},"attestation_state":"computed","paper":{"title":"Scaling Properties of Current Fluctuations in Periodic TASEP","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Anastasiia Trofimova, Lu Xu","submitted_at":"2025-07-23T17:59:11Z","abstract_excerpt":"We study current fluctuations in the Totally Asymmetric Simple Exclusion Process (TASEP) on a ring with $N$ sites and $p$ particles. By introducing a deformation parameter $\\gamma$, we analyze the tilted operator that governs the statistics of the time-integrated current. Employing the coordinate Bethe ansatz, we derive implicit expressions for the scaled cumulant generating function (SCGF), i.e. the largest eigenvalue, and the spectral gap, both in terms of Bethe roots. Their asymptotic behaviour is characterized by using the geometric structure of Cassini oval.\n  In the thermodynamic limit a"},"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":"2507.17750","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-07-23T17:59:11Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"64b0e60325e01eddcbe886d5992e758e40215c4fecff029538cc31d2b6ec91b7","abstract_canon_sha256":"3c3db075b616fef504381459b5ce3aeea92b04cdf83d5ead54980b550c357411"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:49:57.632868Z","signature_b64":"qi7svyncyjTFiiymLEpCCxOp1UdHGyftHLE2Cv/LbowMcEk46nn+hT0IKVsOskE6n/dVDHI7/Mal/HljAwfLAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"280e9f47a8d0d89f974c8d1880d69f45426cfbc84b6f1f883b2c86055d30d85e","last_reissued_at":"2026-07-05T11:49:57.632433Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:49:57.632433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Scaling Properties of Current Fluctuations in Periodic TASEP","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Anastasiia Trofimova, Lu Xu","submitted_at":"2025-07-23T17:59:11Z","abstract_excerpt":"We study current fluctuations in the Totally Asymmetric Simple Exclusion Process (TASEP) on a ring with $N$ sites and $p$ particles. By introducing a deformation parameter $\\gamma$, we analyze the tilted operator that governs the statistics of the time-integrated current. Employing the coordinate Bethe ansatz, we derive implicit expressions for the scaled cumulant generating function (SCGF), i.e. the largest eigenvalue, and the spectral gap, both in terms of Bethe roots. Their asymptotic behaviour is characterized by using the geometric structure of Cassini oval.\n  In the thermodynamic limit a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.17750","kind":"arxiv","version":2},"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/2507.17750/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":"2507.17750","created_at":"2026-07-05T11:49:57.632490+00:00"},{"alias_kind":"arxiv_version","alias_value":"2507.17750v2","created_at":"2026-07-05T11:49:57.632490+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.17750","created_at":"2026-07-05T11:49:57.632490+00:00"},{"alias_kind":"pith_short_12","alias_value":"FAHJ6R5I2DMJ","created_at":"2026-07-05T11:49:57.632490+00:00"},{"alias_kind":"pith_short_16","alias_value":"FAHJ6R5I2DMJ7F2M","created_at":"2026-07-05T11:49:57.632490+00:00"},{"alias_kind":"pith_short_8","alias_value":"FAHJ6R5I","created_at":"2026-07-05T11:49:57.632490+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/FAHJ6R5I2DMJ7F2MRUMIBVU7IV","json":"https://pith.science/pith/FAHJ6R5I2DMJ7F2MRUMIBVU7IV.json","graph_json":"https://pith.science/api/pith-number/FAHJ6R5I2DMJ7F2MRUMIBVU7IV/graph.json","events_json":"https://pith.science/api/pith-number/FAHJ6R5I2DMJ7F2MRUMIBVU7IV/events.json","paper":"https://pith.science/paper/FAHJ6R5I"},"agent_actions":{"view_html":"https://pith.science/pith/FAHJ6R5I2DMJ7F2MRUMIBVU7IV","download_json":"https://pith.science/pith/FAHJ6R5I2DMJ7F2MRUMIBVU7IV.json","view_paper":"https://pith.science/paper/FAHJ6R5I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2507.17750&json=true","fetch_graph":"https://pith.science/api/pith-number/FAHJ6R5I2DMJ7F2MRUMIBVU7IV/graph.json","fetch_events":"https://pith.science/api/pith-number/FAHJ6R5I2DMJ7F2MRUMIBVU7IV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FAHJ6R5I2DMJ7F2MRUMIBVU7IV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FAHJ6R5I2DMJ7F2MRUMIBVU7IV/action/storage_attestation","attest_author":"https://pith.science/pith/FAHJ6R5I2DMJ7F2MRUMIBVU7IV/action/author_attestation","sign_citation":"https://pith.science/pith/FAHJ6R5I2DMJ7F2MRUMIBVU7IV/action/citation_signature","submit_replication":"https://pith.science/pith/FAHJ6R5I2DMJ7F2MRUMIBVU7IV/action/replication_record"}},"created_at":"2026-07-05T11:49:57.632490+00:00","updated_at":"2026-07-05T11:49:57.632490+00:00"}