{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NKCN5EEZ2VOE6LKKBSBF4FZLNK","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":"7cfef6d3dde246274ebabaca97f00b8637150fc08cce7d92c83bd183d8970bf8","cross_cats_sorted":["math.MP","nlin.SI"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math-ph","submitted_at":"2017-01-25T12:17:16Z","title_canon_sha256":"3e1fe722de7b5427155af73a421bcb858d8f8582c61e5466f3100b85b6244f28"},"schema_version":"1.0","source":{"id":"1701.07279","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.07279","created_at":"2026-05-18T00:42:12Z"},{"alias_kind":"arxiv_version","alias_value":"1701.07279v2","created_at":"2026-05-18T00:42:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.07279","created_at":"2026-05-18T00:42:12Z"},{"alias_kind":"pith_short_12","alias_value":"NKCN5EEZ2VOE","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NKCN5EEZ2VOE6LKK","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NKCN5EEZ","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:a58b8d1e72abb2e66508f8a878828efb9fd836b479b2e2acb34e566c27179532","target":"graph","created_at":"2026-05-18T00:42:12Z","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 present a brief review on integrability of multispecies zero range process in one dimension introduced recently. The topics range over stochastic $R$ matrices of quantum affine algebra $U_q (A^{(1)}_n)$, matrix product construction of stationary states for periodic systems, $q$-boson representation of Zamolodchikov-Faddeev algebra, etc. We also introduce new commuting Markov transfer matrices having a mixed boundary condition and prove the factorization of a family of $R$ matrices associated with the tetrahedron equation and generalized quantum groups at a special point of the spectral para","authors_text":"Atsuo Kuniba, Masato Okado, Satoshi Watanabe","cross_cats":["math.MP","nlin.SI"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math-ph","submitted_at":"2017-01-25T12:17:16Z","title":"Integrable Structure of Multispecies Zero Range Process"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.07279","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:d5ff70129f7ace49ec5824788dfcb59297e7351290f0c33e1ea0c5ffc571daa9","target":"record","created_at":"2026-05-18T00:42:12Z","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":"7cfef6d3dde246274ebabaca97f00b8637150fc08cce7d92c83bd183d8970bf8","cross_cats_sorted":["math.MP","nlin.SI"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math-ph","submitted_at":"2017-01-25T12:17:16Z","title_canon_sha256":"3e1fe722de7b5427155af73a421bcb858d8f8582c61e5466f3100b85b6244f28"},"schema_version":"1.0","source":{"id":"1701.07279","kind":"arxiv","version":2}},"canonical_sha256":"6a84de9099d55c4f2d4a0c825e172b6a9f0542b98a11869d798b5653fbf4bc45","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6a84de9099d55c4f2d4a0c825e172b6a9f0542b98a11869d798b5653fbf4bc45","first_computed_at":"2026-05-18T00:42:12.450585Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:12.450585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BdrO7i3/D9EVk7o7KwuQSzMN3JbzebPUcLWAcYu9ec0HvTezUbk3IsImLm2TmS17hWghW5Syu4RJduzIZSXDCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:12.451045Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.07279","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5ff70129f7ace49ec5824788dfcb59297e7351290f0c33e1ea0c5ffc571daa9","sha256:a58b8d1e72abb2e66508f8a878828efb9fd836b479b2e2acb34e566c27179532"],"state_sha256":"2a2e5bd2faf456c99633f51adfa9a8478ce629f076df3513f424c6f1df2fc134"}