{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:EKCWAYEB673CB5FDVGF3AOB45X","short_pith_number":"pith:EKCWAYEB","canonical_record":{"source":{"id":"1506.04874","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-06-16T08:36:01Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"146e2e8f94a9a5ca26e9b1597f95c75c5193e92ff8feaac938e5613585709205","abstract_canon_sha256":"1f8310293e2358178555bc471f62b9c6a1d5bd14e1baf45731f33b94d07d3708"},"schema_version":"1.0"},"canonical_sha256":"2285606081f7f620f4a3a98bb0383cedc5009be2bd57361c4f7a9b6362d1b706","source":{"kind":"arxiv","id":"1506.04874","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.04874","created_at":"2026-05-18T01:28:34Z"},{"alias_kind":"arxiv_version","alias_value":"1506.04874v2","created_at":"2026-05-18T01:28:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.04874","created_at":"2026-05-18T01:28:34Z"},{"alias_kind":"pith_short_12","alias_value":"EKCWAYEB673C","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"EKCWAYEB673CB5FD","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"EKCWAYEB","created_at":"2026-05-18T12:29:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:EKCWAYEB673CB5FDVGF3AOB45X","target":"record","payload":{"canonical_record":{"source":{"id":"1506.04874","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-06-16T08:36:01Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"146e2e8f94a9a5ca26e9b1597f95c75c5193e92ff8feaac938e5613585709205","abstract_canon_sha256":"1f8310293e2358178555bc471f62b9c6a1d5bd14e1baf45731f33b94d07d3708"},"schema_version":"1.0"},"canonical_sha256":"2285606081f7f620f4a3a98bb0383cedc5009be2bd57361c4f7a9b6362d1b706","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:34.187309Z","signature_b64":"aGOz/RCi780S1szF9S9jirJyvel/+iTW3cg/gfiCbDaH/67L8aA6lsVdYrsq+zLPxSagSWRtWPmBZllK/neFBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2285606081f7f620f4a3a98bb0383cedc5009be2bd57361c4f7a9b6362d1b706","last_reissued_at":"2026-05-18T01:28:34.186633Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:34.186633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.04874","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:28:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zisma92WI5LCWnAz5uevS40dN6yiGlMs6cp22AU2DzxXR/7RINqJov3D4nQqCm5kJ7RTh/EKnXPbnmMK8ECwDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T18:21:40.881532Z"},"content_sha256":"5a0a45f0ab8fe9efe3d2146f267749e66dd5c2cfafa5d1d2790cecf684414ba7","schema_version":"1.0","event_id":"sha256:5a0a45f0ab8fe9efe3d2146f267749e66dd5c2cfafa5d1d2790cecf684414ba7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:EKCWAYEB673CB5FDVGF3AOB45X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Inhomogeneous discrete-time exclusion processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.SI"],"primary_cat":"cond-mat.stat-mech","authors_text":"E. Ragoucy, K. Mallick, M. Vanicat, N. Crampe","submitted_at":"2015-06-16T08:36:01Z","abstract_excerpt":"We study discrete time Markov processes with periodic or open boundary conditions and with inhomogeneous rates in the bulk. The Markov matrices are given by the inhomogeneous transfer matrices introduced previously to prove the integrability of quantum spin chains. We show that these processes have a simple graphical interpretation and correspond to a sequential update. We compute their stationary state using a matrix ansatz and express their normalization factors as Schur polynomials. A connection between Bethe roots and Lee-Yang zeros is also pointed out."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.04874","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:28:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"awSsmb6LSaP7O7y7GA91mUw7u5FVVwXbvCh3G3Vg6Wy6RdWwoMBtATNADh69bnT2rLwHMYNhrC4LYI1v8uhlAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T18:21:40.881872Z"},"content_sha256":"b7a5a8944e1043f93810b95cec35bfd6f321e026617586f5a7cffafacf6caaf5","schema_version":"1.0","event_id":"sha256:b7a5a8944e1043f93810b95cec35bfd6f321e026617586f5a7cffafacf6caaf5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EKCWAYEB673CB5FDVGF3AOB45X/bundle.json","state_url":"https://pith.science/pith/EKCWAYEB673CB5FDVGF3AOB45X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EKCWAYEB673CB5FDVGF3AOB45X/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T18:21:40Z","links":{"resolver":"https://pith.science/pith/EKCWAYEB673CB5FDVGF3AOB45X","bundle":"https://pith.science/pith/EKCWAYEB673CB5FDVGF3AOB45X/bundle.json","state":"https://pith.science/pith/EKCWAYEB673CB5FDVGF3AOB45X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EKCWAYEB673CB5FDVGF3AOB45X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:EKCWAYEB673CB5FDVGF3AOB45X","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":"1f8310293e2358178555bc471f62b9c6a1d5bd14e1baf45731f33b94d07d3708","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-06-16T08:36:01Z","title_canon_sha256":"146e2e8f94a9a5ca26e9b1597f95c75c5193e92ff8feaac938e5613585709205"},"schema_version":"1.0","source":{"id":"1506.04874","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.04874","created_at":"2026-05-18T01:28:34Z"},{"alias_kind":"arxiv_version","alias_value":"1506.04874v2","created_at":"2026-05-18T01:28:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.04874","created_at":"2026-05-18T01:28:34Z"},{"alias_kind":"pith_short_12","alias_value":"EKCWAYEB673C","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"EKCWAYEB673CB5FD","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"EKCWAYEB","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:b7a5a8944e1043f93810b95cec35bfd6f321e026617586f5a7cffafacf6caaf5","target":"graph","created_at":"2026-05-18T01:28:34Z","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 study discrete time Markov processes with periodic or open boundary conditions and with inhomogeneous rates in the bulk. The Markov matrices are given by the inhomogeneous transfer matrices introduced previously to prove the integrability of quantum spin chains. We show that these processes have a simple graphical interpretation and correspond to a sequential update. We compute their stationary state using a matrix ansatz and express their normalization factors as Schur polynomials. A connection between Bethe roots and Lee-Yang zeros is also pointed out.","authors_text":"E. Ragoucy, K. Mallick, M. Vanicat, N. Crampe","cross_cats":["math-ph","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-06-16T08:36:01Z","title":"Inhomogeneous discrete-time exclusion processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.04874","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":"sha256:5a0a45f0ab8fe9efe3d2146f267749e66dd5c2cfafa5d1d2790cecf684414ba7","target":"record","created_at":"2026-05-18T01:28:34Z","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":"1f8310293e2358178555bc471f62b9c6a1d5bd14e1baf45731f33b94d07d3708","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-06-16T08:36:01Z","title_canon_sha256":"146e2e8f94a9a5ca26e9b1597f95c75c5193e92ff8feaac938e5613585709205"},"schema_version":"1.0","source":{"id":"1506.04874","kind":"arxiv","version":2}},"canonical_sha256":"2285606081f7f620f4a3a98bb0383cedc5009be2bd57361c4f7a9b6362d1b706","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2285606081f7f620f4a3a98bb0383cedc5009be2bd57361c4f7a9b6362d1b706","first_computed_at":"2026-05-18T01:28:34.186633Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:28:34.186633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aGOz/RCi780S1szF9S9jirJyvel/+iTW3cg/gfiCbDaH/67L8aA6lsVdYrsq+zLPxSagSWRtWPmBZllK/neFBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:28:34.187309Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.04874","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a0a45f0ab8fe9efe3d2146f267749e66dd5c2cfafa5d1d2790cecf684414ba7","sha256:b7a5a8944e1043f93810b95cec35bfd6f321e026617586f5a7cffafacf6caaf5"],"state_sha256":"ac81c5dd3d40c2c9eccaf27d9c7c06b6691dfed5abc8ac78019db7c907426774"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qWlBcEhevCAlYvBs78YGtmyGlZFLdDVLJ5ycF9IWYk2BjfmywUL8n0xPvsx+O04r9hYzFU8kbwLMIwk5DN5bAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T18:21:40.883906Z","bundle_sha256":"09f8ac6c500873f4a81c3abcc14790914fcb8da3db8f4a3a7eb3e78eac8b905c"}}