{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:IS32GCIAIS7Q5QJSOIRC3B25TU","short_pith_number":"pith:IS32GCIA","schema_version":"1.0","canonical_sha256":"44b7a3090044bf0ec13272222d875d9d2e7182fd6ca869bc3cd6fb248135e535","source":{"kind":"arxiv","id":"1306.0360","version":4},"attestation_state":"computed","paper":{"title":"An exclusion process on a tree with constant aggregate hopping rate","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Bartlomiej Waclaw, Martin R. Evans, Peter Mottishaw","submitted_at":"2013-06-03T11:25:36Z","abstract_excerpt":"We introduce a model of a totally asymmetric simple exclusion process (TASEP) on a tree network where the aggregate hopping rate is constant from level to level. With this choice for hopping rates the model shows the same phase diagram as the one-dimensional case. The potential applications of our model are in the area of distribution networks; where a single large source supplies material to a large number of small sinks via a hierarchical network. We show that mean field theory (MFT) for our model is identical to that of the one-dimensional TASEP and that this mean field theory is exact for "},"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":"1306.0360","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-06-03T11:25:36Z","cross_cats_sorted":[],"title_canon_sha256":"b7cc7e3487329f94107244edba939cc6c102e87e54c6891baf28dc2357077dad","abstract_canon_sha256":"733e19f4968443e09652965c7cd57b90d021402a032a03ce5081d4fd215e1cad"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:34.170196Z","signature_b64":"dvq1c2fdUuDj4jbLZede56tDau/SD87eZ0zXlJ2knRg52etpJU9nACarIumlVygNYdIpatr9S+b8cQEIyLILDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"44b7a3090044bf0ec13272222d875d9d2e7182fd6ca869bc3cd6fb248135e535","last_reissued_at":"2026-05-18T03:07:34.169799Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:34.169799Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An exclusion process on a tree with constant aggregate hopping rate","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Bartlomiej Waclaw, Martin R. Evans, Peter Mottishaw","submitted_at":"2013-06-03T11:25:36Z","abstract_excerpt":"We introduce a model of a totally asymmetric simple exclusion process (TASEP) on a tree network where the aggregate hopping rate is constant from level to level. With this choice for hopping rates the model shows the same phase diagram as the one-dimensional case. The potential applications of our model are in the area of distribution networks; where a single large source supplies material to a large number of small sinks via a hierarchical network. We show that mean field theory (MFT) for our model is identical to that of the one-dimensional TASEP and that this mean field theory is exact for "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0360","kind":"arxiv","version":4},"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":"1306.0360","created_at":"2026-05-18T03:07:34.169857+00:00"},{"alias_kind":"arxiv_version","alias_value":"1306.0360v4","created_at":"2026-05-18T03:07:34.169857+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0360","created_at":"2026-05-18T03:07:34.169857+00:00"},{"alias_kind":"pith_short_12","alias_value":"IS32GCIAIS7Q","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_16","alias_value":"IS32GCIAIS7Q5QJS","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_8","alias_value":"IS32GCIA","created_at":"2026-05-18T12:27:49.015174+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/IS32GCIAIS7Q5QJSOIRC3B25TU","json":"https://pith.science/pith/IS32GCIAIS7Q5QJSOIRC3B25TU.json","graph_json":"https://pith.science/api/pith-number/IS32GCIAIS7Q5QJSOIRC3B25TU/graph.json","events_json":"https://pith.science/api/pith-number/IS32GCIAIS7Q5QJSOIRC3B25TU/events.json","paper":"https://pith.science/paper/IS32GCIA"},"agent_actions":{"view_html":"https://pith.science/pith/IS32GCIAIS7Q5QJSOIRC3B25TU","download_json":"https://pith.science/pith/IS32GCIAIS7Q5QJSOIRC3B25TU.json","view_paper":"https://pith.science/paper/IS32GCIA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1306.0360&json=true","fetch_graph":"https://pith.science/api/pith-number/IS32GCIAIS7Q5QJSOIRC3B25TU/graph.json","fetch_events":"https://pith.science/api/pith-number/IS32GCIAIS7Q5QJSOIRC3B25TU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IS32GCIAIS7Q5QJSOIRC3B25TU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IS32GCIAIS7Q5QJSOIRC3B25TU/action/storage_attestation","attest_author":"https://pith.science/pith/IS32GCIAIS7Q5QJSOIRC3B25TU/action/author_attestation","sign_citation":"https://pith.science/pith/IS32GCIAIS7Q5QJSOIRC3B25TU/action/citation_signature","submit_replication":"https://pith.science/pith/IS32GCIAIS7Q5QJSOIRC3B25TU/action/replication_record"}},"created_at":"2026-05-18T03:07:34.169857+00:00","updated_at":"2026-05-18T03:07:34.169857+00:00"}