{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:I2V2HQU7LA22E255ZAQFAFLVL6","short_pith_number":"pith:I2V2HQU7","schema_version":"1.0","canonical_sha256":"46aba3c29f5835a26bbdc8205015755f9535f8e6d2329a0d52ab498448588c43","source":{"kind":"arxiv","id":"1311.2388","version":1},"attestation_state":"computed","paper":{"title":"The parallel TASEP, fixed particle number and weighted Motzkin paths","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Marko Woelki","submitted_at":"2013-11-11T09:16:17Z","abstract_excerpt":"In this paper the totally asymmetric exclusion process (TASEP) with parallel update on an open lattice of size $L$ is considered in the maximum-current region. A formal expression for the generating function for the weight of configurations with $N$ particles is given. Further an interpretation in terms of $(u,l,d)$-colored weighted Motzkin paths is presented. Using previous results (Woelki and Schreckenberg 2009 {\\it J. Stat. Mech} P05014, Woelki 2010 {\\it Cellular Automata}, pp 637-645) the generating function is compared with the one for a possible 2nd-class particle dynamics for the parall"},"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":"1311.2388","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-11-11T09:16:17Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"011eedf9dbabd861679d4d784fc68adfdb86a7abd00344b6cc902157a7f16273","abstract_canon_sha256":"2b21ff3518b14ff3ba98f90904209b309bcb83e28873cf1636f82e38ce6bf6e0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:46:32.470168Z","signature_b64":"mqJuK8RK71iIJwFctlZHhxCzL2u58XeLC2yrsCBJvJ/KfLokhIDWIs2Fr24FzQpn9OeLj/4jDB/HNYP8s93NDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46aba3c29f5835a26bbdc8205015755f9535f8e6d2329a0d52ab498448588c43","last_reissued_at":"2026-05-18T01:46:32.469767Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:46:32.469767Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The parallel TASEP, fixed particle number and weighted Motzkin paths","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Marko Woelki","submitted_at":"2013-11-11T09:16:17Z","abstract_excerpt":"In this paper the totally asymmetric exclusion process (TASEP) with parallel update on an open lattice of size $L$ is considered in the maximum-current region. A formal expression for the generating function for the weight of configurations with $N$ particles is given. Further an interpretation in terms of $(u,l,d)$-colored weighted Motzkin paths is presented. Using previous results (Woelki and Schreckenberg 2009 {\\it J. Stat. Mech} P05014, Woelki 2010 {\\it Cellular Automata}, pp 637-645) the generating function is compared with the one for a possible 2nd-class particle dynamics for the parall"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.2388","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":"1311.2388","created_at":"2026-05-18T01:46:32.469827+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.2388v1","created_at":"2026-05-18T01:46:32.469827+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.2388","created_at":"2026-05-18T01:46:32.469827+00:00"},{"alias_kind":"pith_short_12","alias_value":"I2V2HQU7LA22","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"I2V2HQU7LA22E255","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"I2V2HQU7","created_at":"2026-05-18T12:27:46.883200+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/I2V2HQU7LA22E255ZAQFAFLVL6","json":"https://pith.science/pith/I2V2HQU7LA22E255ZAQFAFLVL6.json","graph_json":"https://pith.science/api/pith-number/I2V2HQU7LA22E255ZAQFAFLVL6/graph.json","events_json":"https://pith.science/api/pith-number/I2V2HQU7LA22E255ZAQFAFLVL6/events.json","paper":"https://pith.science/paper/I2V2HQU7"},"agent_actions":{"view_html":"https://pith.science/pith/I2V2HQU7LA22E255ZAQFAFLVL6","download_json":"https://pith.science/pith/I2V2HQU7LA22E255ZAQFAFLVL6.json","view_paper":"https://pith.science/paper/I2V2HQU7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.2388&json=true","fetch_graph":"https://pith.science/api/pith-number/I2V2HQU7LA22E255ZAQFAFLVL6/graph.json","fetch_events":"https://pith.science/api/pith-number/I2V2HQU7LA22E255ZAQFAFLVL6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I2V2HQU7LA22E255ZAQFAFLVL6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I2V2HQU7LA22E255ZAQFAFLVL6/action/storage_attestation","attest_author":"https://pith.science/pith/I2V2HQU7LA22E255ZAQFAFLVL6/action/author_attestation","sign_citation":"https://pith.science/pith/I2V2HQU7LA22E255ZAQFAFLVL6/action/citation_signature","submit_replication":"https://pith.science/pith/I2V2HQU7LA22E255ZAQFAFLVL6/action/replication_record"}},"created_at":"2026-05-18T01:46:32.469827+00:00","updated_at":"2026-05-18T01:46:32.469827+00:00"}