{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:MXU2HH2VYG4ZSNRYW2PT5UFN56","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":"079414f21f212e04987eb42e356c2efdad5fe136c49628ec524dad6c545d5ebf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-10-20T16:20:03Z","title_canon_sha256":"271744456861f2c37e240df0de26e0013cb16095897195c08a8fa5625dd66c0b"},"schema_version":"1.0","source":{"id":"0910.3829","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.3829","created_at":"2026-05-18T02:11:13Z"},{"alias_kind":"arxiv_version","alias_value":"0910.3829v3","created_at":"2026-05-18T02:11:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.3829","created_at":"2026-05-18T02:11:13Z"},{"alias_kind":"pith_short_12","alias_value":"MXU2HH2VYG4Z","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"MXU2HH2VYG4ZSNRY","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"MXU2HH2V","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:01bb01bfbd1c4327340ea0eff5028febdf13c126a41a57ea24b835ff04353f74","target":"graph","created_at":"2026-05-18T02:11:13Z","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":"In this paper, we develop a general theory for the estimation of the transition probabilities of reversible Markov chains using the maximum entropy principle. A broad range of physical models can be studied within this approach. We use one-dimensional classical spin systems to illustrate the theoretical ideas. The examples studied in this paper are: the Ising model, the Potts model and the Blume-Emery-Griffiths model.","authors_text":"Erik Van der Straeten","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-10-20T16:20:03Z","title":"Maximum entropy estimation of transition probabilities of reversible Markov chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.3829","kind":"arxiv","version":3},"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":"sha256:197fa8b5477ab58ef0e72fee4cea012b6f7ccc8579901825cd0156cb4f6e2144","target":"record","created_at":"2026-05-18T02:11:13Z","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":"079414f21f212e04987eb42e356c2efdad5fe136c49628ec524dad6c545d5ebf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-10-20T16:20:03Z","title_canon_sha256":"271744456861f2c37e240df0de26e0013cb16095897195c08a8fa5625dd66c0b"},"schema_version":"1.0","source":{"id":"0910.3829","kind":"arxiv","version":3}},"canonical_sha256":"65e9a39f55c1b9993638b69f3ed0adefb3d5ed6bc96cf988a673203a2019428d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"65e9a39f55c1b9993638b69f3ed0adefb3d5ed6bc96cf988a673203a2019428d","first_computed_at":"2026-05-18T02:11:13.843741Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:11:13.843741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XQdMbZO/DK/ZdXmJW8ziKa220UxekZV2jrxLR5xyeg5XP6RTA6JUxxGy58/5ZZrEgKZCaQgustb9YMqLD3nWDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:11:13.844618Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.3829","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:197fa8b5477ab58ef0e72fee4cea012b6f7ccc8579901825cd0156cb4f6e2144","sha256:01bb01bfbd1c4327340ea0eff5028febdf13c126a41a57ea24b835ff04353f74"],"state_sha256":"9808f5dd96050197281bdf78735aefee127f59d624a461751129983db39fe664"}