{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YTIPXE7ZNCQ56OA5AO5KKYOBWD","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":"e3245738301f5d66842b2103461d7e9abda893f179446da9da3791719303323d","cross_cats_sorted":["math-ph","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-07-17T19:59:06Z","title_canon_sha256":"4dc71bea022f4a14dd8d571d927b89c3a694604e329c43d2b3dd25a409067257"},"schema_version":"1.0","source":{"id":"1207.4106","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.4106","created_at":"2026-05-18T03:19:44Z"},{"alias_kind":"arxiv_version","alias_value":"1207.4106v4","created_at":"2026-05-18T03:19:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.4106","created_at":"2026-05-18T03:19:44Z"},{"alias_kind":"pith_short_12","alias_value":"YTIPXE7ZNCQ5","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"YTIPXE7ZNCQ56OA5","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"YTIPXE7Z","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:0758d0c770c367c7d5f186bbc8d6a018c88c85d852eb1e69d9b1e94c23953343","target":"graph","created_at":"2026-05-18T03:19:44Z","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 show that the infinitesimal generator of the symmetric simple exclusion process, recast as a quantum spin-1/2 ferromagnetic Heisenberg model, can be solved by elementary techniques on the complete, complete bipartite, and related multipartite graphs. Some of the resulting infinitesimal generators are formally identical to homogeneous as well as mixed higher spins models. The degeneracies of the eigenspectra are described in detail, and the Clebsch-Gordan machinery needed to deal with arbitrary spin-s representations of the SU(2) is briefly developed. We mention in passing how our results fi","authors_text":"J. Ricardo G. Mendon\\c{c}a","cross_cats":["math-ph","math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-07-17T19:59:06Z","title":"Exact eigenspectrum of the symmetric simple exclusion process on the complete, complete bipartite, and related graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.4106","kind":"arxiv","version":4},"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":"sha256:5b698bcde5eed798533fcc5be0831fb073f57532ba7b72232e450acad3052ae8","target":"record","created_at":"2026-05-18T03:19:44Z","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":"e3245738301f5d66842b2103461d7e9abda893f179446da9da3791719303323d","cross_cats_sorted":["math-ph","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-07-17T19:59:06Z","title_canon_sha256":"4dc71bea022f4a14dd8d571d927b89c3a694604e329c43d2b3dd25a409067257"},"schema_version":"1.0","source":{"id":"1207.4106","kind":"arxiv","version":4}},"canonical_sha256":"c4d0fb93f968a1df381d03baa561c1b0fb2c52bfa718fe5dcc3c8a98fd882016","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4d0fb93f968a1df381d03baa561c1b0fb2c52bfa718fe5dcc3c8a98fd882016","first_computed_at":"2026-05-18T03:19:44.109088Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:19:44.109088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BHcHv8gkrNA5JOvCpY7pKPWsEexcDfsgTcUr8R+jqWPY4YKWU5rESa8Z0riiPs7c7WsuuTB4UWORnsMmzi0pCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:19:44.109872Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.4106","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b698bcde5eed798533fcc5be0831fb073f57532ba7b72232e450acad3052ae8","sha256:0758d0c770c367c7d5f186bbc8d6a018c88c85d852eb1e69d9b1e94c23953343"],"state_sha256":"73f5aea150dc845f9fe5a61fb024acf8a3fc9c49fa2f8ed92f770ec925255aea"}