{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:AUI66XWCKEYBQZFPC4QHFFJFMN","short_pith_number":"pith:AUI66XWC","schema_version":"1.0","canonical_sha256":"0511ef5ec251301864af1720729525634043ceec1f1c71d777e7f5bf90ca9313","source":{"kind":"arxiv","id":"1701.05991","version":2},"attestation_state":"computed","paper":{"title":"Fluctuations for stationary $q$-TASEP","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"Takashi Imamura, Tomohiro Sasamoto","submitted_at":"2017-01-21T07:07:00Z","abstract_excerpt":"We consider the $q$-totally asymmetric simple exclusion process ($q$-TASEP) in the stationary regime and study the fluctuation of the position of a particle. We first observe that the problem can be studied as a limiting case of an $N$-particle $q$-TASEP with a random initial condition and with particle dependent hopping rate. Then we explain how this $N$-particle $q$-TASEP can be encoded in a dynamics on a two-sided Gelfand-Tsetlin cone described by a two-sided $q$-Whittaker process and present a Fredholm determinant formula for the $q$-Laplace transform of the position of a particle. Two mai"},"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":"1701.05991","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-01-21T07:07:00Z","cross_cats_sorted":["cond-mat.stat-mech","math.MP","math.PR"],"title_canon_sha256":"66b8b3a368d90ee0c63b720b9ab163756aee75a86086aa5dcb95a2dda1d6126c","abstract_canon_sha256":"5b210b3987468b336e025e9fbbf8ba3fc944fd86aba4f2cb589d6ee91c5d829f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:57.032675Z","signature_b64":"chwI+Y2me+WOR2aCj5COrVUUYofiJkuvQn2NGSAQjJe5jy8zDrUKISTQKYYTi6aJXEdhtbhtq5+q9uqOy3UDDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0511ef5ec251301864af1720729525634043ceec1f1c71d777e7f5bf90ca9313","last_reissued_at":"2026-05-18T00:51:57.032115Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:57.032115Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fluctuations for stationary $q$-TASEP","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"Takashi Imamura, Tomohiro Sasamoto","submitted_at":"2017-01-21T07:07:00Z","abstract_excerpt":"We consider the $q$-totally asymmetric simple exclusion process ($q$-TASEP) in the stationary regime and study the fluctuation of the position of a particle. We first observe that the problem can be studied as a limiting case of an $N$-particle $q$-TASEP with a random initial condition and with particle dependent hopping rate. Then we explain how this $N$-particle $q$-TASEP can be encoded in a dynamics on a two-sided Gelfand-Tsetlin cone described by a two-sided $q$-Whittaker process and present a Fredholm determinant formula for the $q$-Laplace transform of the position of a particle. Two mai"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05991","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":""},"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":"1701.05991","created_at":"2026-05-18T00:51:57.032189+00:00"},{"alias_kind":"arxiv_version","alias_value":"1701.05991v2","created_at":"2026-05-18T00:51:57.032189+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05991","created_at":"2026-05-18T00:51:57.032189+00:00"},{"alias_kind":"pith_short_12","alias_value":"AUI66XWCKEYB","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_16","alias_value":"AUI66XWCKEYBQZFP","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_8","alias_value":"AUI66XWC","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/AUI66XWCKEYBQZFPC4QHFFJFMN","json":"https://pith.science/pith/AUI66XWCKEYBQZFPC4QHFFJFMN.json","graph_json":"https://pith.science/api/pith-number/AUI66XWCKEYBQZFPC4QHFFJFMN/graph.json","events_json":"https://pith.science/api/pith-number/AUI66XWCKEYBQZFPC4QHFFJFMN/events.json","paper":"https://pith.science/paper/AUI66XWC"},"agent_actions":{"view_html":"https://pith.science/pith/AUI66XWCKEYBQZFPC4QHFFJFMN","download_json":"https://pith.science/pith/AUI66XWCKEYBQZFPC4QHFFJFMN.json","view_paper":"https://pith.science/paper/AUI66XWC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1701.05991&json=true","fetch_graph":"https://pith.science/api/pith-number/AUI66XWCKEYBQZFPC4QHFFJFMN/graph.json","fetch_events":"https://pith.science/api/pith-number/AUI66XWCKEYBQZFPC4QHFFJFMN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AUI66XWCKEYBQZFPC4QHFFJFMN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AUI66XWCKEYBQZFPC4QHFFJFMN/action/storage_attestation","attest_author":"https://pith.science/pith/AUI66XWCKEYBQZFPC4QHFFJFMN/action/author_attestation","sign_citation":"https://pith.science/pith/AUI66XWCKEYBQZFPC4QHFFJFMN/action/citation_signature","submit_replication":"https://pith.science/pith/AUI66XWCKEYBQZFPC4QHFFJFMN/action/replication_record"}},"created_at":"2026-05-18T00:51:57.032189+00:00","updated_at":"2026-05-18T00:51:57.032189+00:00"}