{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:AUI66XWCKEYBQZFPC4QHFFJFMN","short_pith_number":"pith:AUI66XWC","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"},"canonical_sha256":"0511ef5ec251301864af1720729525634043ceec1f1c71d777e7f5bf90ca9313","source":{"kind":"arxiv","id":"1701.05991","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.05991","created_at":"2026-05-18T00:51:57Z"},{"alias_kind":"arxiv_version","alias_value":"1701.05991v2","created_at":"2026-05-18T00:51:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05991","created_at":"2026-05-18T00:51:57Z"},{"alias_kind":"pith_short_12","alias_value":"AUI66XWCKEYB","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"AUI66XWCKEYBQZFP","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"AUI66XWC","created_at":"2026-05-18T12:31:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:AUI66XWCKEYBQZFPC4QHFFJFMN","target":"record","payload":{"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"},"canonical_sha256":"0511ef5ec251301864af1720729525634043ceec1f1c71d777e7f5bf90ca9313","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"},"source_kind":"arxiv","source_id":"1701.05991","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:51:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YFFaBArkpdse7vtP8oW6m0u0TksU+ZWXClfdAdRUZ35Mw1ogSaxGYMKl9jEh38zWPwysiKd22XIfhk5zy9wvDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T03:51:41.916670Z"},"content_sha256":"5a6ef315e1e83f173d76a563e716b948611fcdb7ea18e9efe00ff23dbf9be857","schema_version":"1.0","event_id":"sha256:5a6ef315e1e83f173d76a563e716b948611fcdb7ea18e9efe00ff23dbf9be857"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:AUI66XWCKEYBQZFPC4QHFFJFMN","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:51:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aCrgAhaQsdv5wg7upL3/R5gyPU/KYS9bVC1f/qPx5o85Jflf2VOhqbsHCYmlC3WP7xWoLjFrJsIUyLwdrILPDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T03:51:41.917476Z"},"content_sha256":"6c8dd0edb52d760190f4e0436de29e0b153790683128ca14043de67cac6d85ed","schema_version":"1.0","event_id":"sha256:6c8dd0edb52d760190f4e0436de29e0b153790683128ca14043de67cac6d85ed"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AUI66XWCKEYBQZFPC4QHFFJFMN/bundle.json","state_url":"https://pith.science/pith/AUI66XWCKEYBQZFPC4QHFFJFMN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AUI66XWCKEYBQZFPC4QHFFJFMN/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T03:51:41Z","links":{"resolver":"https://pith.science/pith/AUI66XWCKEYBQZFPC4QHFFJFMN","bundle":"https://pith.science/pith/AUI66XWCKEYBQZFPC4QHFFJFMN/bundle.json","state":"https://pith.science/pith/AUI66XWCKEYBQZFPC4QHFFJFMN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AUI66XWCKEYBQZFPC4QHFFJFMN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:AUI66XWCKEYBQZFPC4QHFFJFMN","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":"5b210b3987468b336e025e9fbbf8ba3fc944fd86aba4f2cb589d6ee91c5d829f","cross_cats_sorted":["cond-mat.stat-mech","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-01-21T07:07:00Z","title_canon_sha256":"66b8b3a368d90ee0c63b720b9ab163756aee75a86086aa5dcb95a2dda1d6126c"},"schema_version":"1.0","source":{"id":"1701.05991","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.05991","created_at":"2026-05-18T00:51:57Z"},{"alias_kind":"arxiv_version","alias_value":"1701.05991v2","created_at":"2026-05-18T00:51:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05991","created_at":"2026-05-18T00:51:57Z"},{"alias_kind":"pith_short_12","alias_value":"AUI66XWCKEYB","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"AUI66XWCKEYBQZFP","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"AUI66XWC","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:6c8dd0edb52d760190f4e0436de29e0b153790683128ca14043de67cac6d85ed","target":"graph","created_at":"2026-05-18T00:51:57Z","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":"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","authors_text":"Takashi Imamura, Tomohiro Sasamoto","cross_cats":["cond-mat.stat-mech","math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-01-21T07:07:00Z","title":"Fluctuations for stationary $q$-TASEP"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05991","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":"sha256:5a6ef315e1e83f173d76a563e716b948611fcdb7ea18e9efe00ff23dbf9be857","target":"record","created_at":"2026-05-18T00:51:57Z","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":"5b210b3987468b336e025e9fbbf8ba3fc944fd86aba4f2cb589d6ee91c5d829f","cross_cats_sorted":["cond-mat.stat-mech","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-01-21T07:07:00Z","title_canon_sha256":"66b8b3a368d90ee0c63b720b9ab163756aee75a86086aa5dcb95a2dda1d6126c"},"schema_version":"1.0","source":{"id":"1701.05991","kind":"arxiv","version":2}},"canonical_sha256":"0511ef5ec251301864af1720729525634043ceec1f1c71d777e7f5bf90ca9313","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0511ef5ec251301864af1720729525634043ceec1f1c71d777e7f5bf90ca9313","first_computed_at":"2026-05-18T00:51:57.032115Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:57.032115Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"chwI+Y2me+WOR2aCj5COrVUUYofiJkuvQn2NGSAQjJe5jy8zDrUKISTQKYYTi6aJXEdhtbhtq5+q9uqOy3UDDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:57.032675Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.05991","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a6ef315e1e83f173d76a563e716b948611fcdb7ea18e9efe00ff23dbf9be857","sha256:6c8dd0edb52d760190f4e0436de29e0b153790683128ca14043de67cac6d85ed"],"state_sha256":"49a391e0adb7ab1a236b8ae1649dd39f2668b4176ec5ae05def63bfa1c201421"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"55JPzb1TCz6WTzDZ+ztv/3mpoib7nL3ME+5sZnhY0+QQwdpKVAIuN3XGHpyenDOwyvsqooiGevGOH/NQW8rmAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T03:51:41.922204Z","bundle_sha256":"557e2fd1b5ee5f7815c39e3022e4414755b8ee847ce0804670f5428f679823db"}}