{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:3MMS4DRIWJYW55NTFJXCENQO5O","short_pith_number":"pith:3MMS4DRI","schema_version":"1.0","canonical_sha256":"db192e0e28b2716ef5b32a6e22360eebb4fe9570034d9415f739b4f2ee0f65b2","source":{"kind":"arxiv","id":"1502.00948","version":1},"attestation_state":"computed","paper":{"title":"Multi-Catalan Tableaux and the Two-Species TASEP","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Olya Mandelshtam","submitted_at":"2015-02-03T18:19:28Z","abstract_excerpt":"The goal of this paper is to provide a combinatorial expression for the steady state probabilities of the two-species PASEP. In this model, there are two species of particles, one \"heavy\" and one \"light\", on a one-dimensional finite lattice with open boundaries. Both particles can swap places with adjacent holes to the right and left at rates 1 and $q$. Moreover, when the heavy and light particles are adjacent to each other, they can swap places as if the light particle were a hole. Additionally, the heavy particle can hop in and out at the boundary of the lattice. Our main result is a combina"},"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":"1502.00948","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-02-03T18:19:28Z","cross_cats_sorted":[],"title_canon_sha256":"afbcae0e3de62a27590098de9cf1afdfc9bd867f88a13db9b611d69206f9f8d5","abstract_canon_sha256":"b252fe1e4aea64bfd37a099c681f6ef30f9e5bd498676280bed54deaab17be20"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:59.172408Z","signature_b64":"G28rj7xd38r5/irsdx0mQ2/WK7WyxXQNrA2M2gHR+r0IV0Ruos2GIQoU/DWbEgfwa6ujyEzjrOMuYDGjjjDuDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db192e0e28b2716ef5b32a6e22360eebb4fe9570034d9415f739b4f2ee0f65b2","last_reissued_at":"2026-05-18T02:27:59.171924Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:59.171924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multi-Catalan Tableaux and the Two-Species TASEP","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Olya Mandelshtam","submitted_at":"2015-02-03T18:19:28Z","abstract_excerpt":"The goal of this paper is to provide a combinatorial expression for the steady state probabilities of the two-species PASEP. In this model, there are two species of particles, one \"heavy\" and one \"light\", on a one-dimensional finite lattice with open boundaries. Both particles can swap places with adjacent holes to the right and left at rates 1 and $q$. Moreover, when the heavy and light particles are adjacent to each other, they can swap places as if the light particle were a hole. Additionally, the heavy particle can hop in and out at the boundary of the lattice. Our main result is a combina"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00948","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":"1502.00948","created_at":"2026-05-18T02:27:59.171985+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.00948v1","created_at":"2026-05-18T02:27:59.171985+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.00948","created_at":"2026-05-18T02:27:59.171985+00:00"},{"alias_kind":"pith_short_12","alias_value":"3MMS4DRIWJYW","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_16","alias_value":"3MMS4DRIWJYW55NT","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_8","alias_value":"3MMS4DRI","created_at":"2026-05-18T12:29:02.477457+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/3MMS4DRIWJYW55NTFJXCENQO5O","json":"https://pith.science/pith/3MMS4DRIWJYW55NTFJXCENQO5O.json","graph_json":"https://pith.science/api/pith-number/3MMS4DRIWJYW55NTFJXCENQO5O/graph.json","events_json":"https://pith.science/api/pith-number/3MMS4DRIWJYW55NTFJXCENQO5O/events.json","paper":"https://pith.science/paper/3MMS4DRI"},"agent_actions":{"view_html":"https://pith.science/pith/3MMS4DRIWJYW55NTFJXCENQO5O","download_json":"https://pith.science/pith/3MMS4DRIWJYW55NTFJXCENQO5O.json","view_paper":"https://pith.science/paper/3MMS4DRI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.00948&json=true","fetch_graph":"https://pith.science/api/pith-number/3MMS4DRIWJYW55NTFJXCENQO5O/graph.json","fetch_events":"https://pith.science/api/pith-number/3MMS4DRIWJYW55NTFJXCENQO5O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3MMS4DRIWJYW55NTFJXCENQO5O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3MMS4DRIWJYW55NTFJXCENQO5O/action/storage_attestation","attest_author":"https://pith.science/pith/3MMS4DRIWJYW55NTFJXCENQO5O/action/author_attestation","sign_citation":"https://pith.science/pith/3MMS4DRIWJYW55NTFJXCENQO5O/action/citation_signature","submit_replication":"https://pith.science/pith/3MMS4DRIWJYW55NTFJXCENQO5O/action/replication_record"}},"created_at":"2026-05-18T02:27:59.171985+00:00","updated_at":"2026-05-18T02:27:59.171985+00:00"}