{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:VEPNSBM5HVXKJSMNSKFKYGQEEW","short_pith_number":"pith:VEPNSBM5","canonical_record":{"source":{"id":"1405.6187","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-05-23T19:32:55Z","cross_cats_sorted":["math.DS","math.MP","nlin.AO"],"title_canon_sha256":"ef1985d198c05ee15cdf647c866f72f170c627b9d042c4b8627f986246e4d174","abstract_canon_sha256":"c443d2079326ba7bf828a2ca0f1c42409bd33e0aaedf41603434c8ee8b88c1f9"},"schema_version":"1.0"},"canonical_sha256":"a91ed9059d3d6ea4c98d928aac1a04259c2384bc1432e72a18c5133dfd9fdb2b","source":{"kind":"arxiv","id":"1405.6187","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.6187","created_at":"2026-05-18T02:25:32Z"},{"alias_kind":"arxiv_version","alias_value":"1405.6187v1","created_at":"2026-05-18T02:25:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.6187","created_at":"2026-05-18T02:25:32Z"},{"alias_kind":"pith_short_12","alias_value":"VEPNSBM5HVXK","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"VEPNSBM5HVXKJSMN","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"VEPNSBM5","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:VEPNSBM5HVXKJSMNSKFKYGQEEW","target":"record","payload":{"canonical_record":{"source":{"id":"1405.6187","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-05-23T19:32:55Z","cross_cats_sorted":["math.DS","math.MP","nlin.AO"],"title_canon_sha256":"ef1985d198c05ee15cdf647c866f72f170c627b9d042c4b8627f986246e4d174","abstract_canon_sha256":"c443d2079326ba7bf828a2ca0f1c42409bd33e0aaedf41603434c8ee8b88c1f9"},"schema_version":"1.0"},"canonical_sha256":"a91ed9059d3d6ea4c98d928aac1a04259c2384bc1432e72a18c5133dfd9fdb2b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:32.626116Z","signature_b64":"7PWZ+WtV01sOG3lTmshY6EnPEgN7h23/p6qJYp/wIOHVUFjFpw7bmxWzLA9QC5EyRvD9TDu5Rm2lXOwNcUKqAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a91ed9059d3d6ea4c98d928aac1a04259c2384bc1432e72a18c5133dfd9fdb2b","last_reissued_at":"2026-05-18T02:25:32.625625Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:32.625625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.6187","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:25:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yZuyw3OvZZK2lt8LRc51sfFXjOoMYMpDOZKqzpr9n7lbbhhZBCP0akmexmyLW5Q3qQ4gNrXvQEW/q/LggEgFBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T15:17:52.137868Z"},"content_sha256":"67fb392cc24e0790a98930b0a5487f01bf65b40d3c041518551d5645bc213f8a","schema_version":"1.0","event_id":"sha256:67fb392cc24e0790a98930b0a5487f01bf65b40d3c041518551d5645bc213f8a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:VEPNSBM5HVXKJSMNSKFKYGQEEW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamical Widom-Rowlinson model and its mesoscopic limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.MP","nlin.AO"],"primary_cat":"math-ph","authors_text":"Dmitri Finkelshtein, Maria Joao Oliveira, Oleksandr Kutoviy, Yuri Kondratiev","submitted_at":"2014-05-23T19:32:55Z","abstract_excerpt":"We consider the non-equilibrium dynamics for the Widom-Rowlinson model (without hard-core) in the continuum. The Lebowitz-Penrose-type scaling of the dynamics is studied and the system of the corresponding kinetic equations is derived. In the space-homogeneous case, the equilibrium points of this system are described. Their structure corresponds to the dynamical phase transition in the model. The bifurcation of the system is shown."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.6187","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:25:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ecswo/aQ6SRiKtUy0ruh5zda+tdBXbrY0+k6UUwzWIMT9wyvKsC/VTzgcmDRC/o6l4fe3qqX+gT6ypTrZj8vAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T15:17:52.138454Z"},"content_sha256":"893de915bcda461edfb7e72cfd3adc48ea30b8ca45a14d34fa01ce7e4b147d0f","schema_version":"1.0","event_id":"sha256:893de915bcda461edfb7e72cfd3adc48ea30b8ca45a14d34fa01ce7e4b147d0f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VEPNSBM5HVXKJSMNSKFKYGQEEW/bundle.json","state_url":"https://pith.science/pith/VEPNSBM5HVXKJSMNSKFKYGQEEW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VEPNSBM5HVXKJSMNSKFKYGQEEW/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":"2026-06-22T15:17:52Z","links":{"resolver":"https://pith.science/pith/VEPNSBM5HVXKJSMNSKFKYGQEEW","bundle":"https://pith.science/pith/VEPNSBM5HVXKJSMNSKFKYGQEEW/bundle.json","state":"https://pith.science/pith/VEPNSBM5HVXKJSMNSKFKYGQEEW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VEPNSBM5HVXKJSMNSKFKYGQEEW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VEPNSBM5HVXKJSMNSKFKYGQEEW","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":"c443d2079326ba7bf828a2ca0f1c42409bd33e0aaedf41603434c8ee8b88c1f9","cross_cats_sorted":["math.DS","math.MP","nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-05-23T19:32:55Z","title_canon_sha256":"ef1985d198c05ee15cdf647c866f72f170c627b9d042c4b8627f986246e4d174"},"schema_version":"1.0","source":{"id":"1405.6187","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.6187","created_at":"2026-05-18T02:25:32Z"},{"alias_kind":"arxiv_version","alias_value":"1405.6187v1","created_at":"2026-05-18T02:25:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.6187","created_at":"2026-05-18T02:25:32Z"},{"alias_kind":"pith_short_12","alias_value":"VEPNSBM5HVXK","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"VEPNSBM5HVXKJSMN","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"VEPNSBM5","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:893de915bcda461edfb7e72cfd3adc48ea30b8ca45a14d34fa01ce7e4b147d0f","target":"graph","created_at":"2026-05-18T02:25:32Z","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 consider the non-equilibrium dynamics for the Widom-Rowlinson model (without hard-core) in the continuum. The Lebowitz-Penrose-type scaling of the dynamics is studied and the system of the corresponding kinetic equations is derived. In the space-homogeneous case, the equilibrium points of this system are described. Their structure corresponds to the dynamical phase transition in the model. The bifurcation of the system is shown.","authors_text":"Dmitri Finkelshtein, Maria Joao Oliveira, Oleksandr Kutoviy, Yuri Kondratiev","cross_cats":["math.DS","math.MP","nlin.AO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-05-23T19:32:55Z","title":"Dynamical Widom-Rowlinson model and its mesoscopic limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.6187","kind":"arxiv","version":1},"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":"sha256:67fb392cc24e0790a98930b0a5487f01bf65b40d3c041518551d5645bc213f8a","target":"record","created_at":"2026-05-18T02:25:32Z","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":"c443d2079326ba7bf828a2ca0f1c42409bd33e0aaedf41603434c8ee8b88c1f9","cross_cats_sorted":["math.DS","math.MP","nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-05-23T19:32:55Z","title_canon_sha256":"ef1985d198c05ee15cdf647c866f72f170c627b9d042c4b8627f986246e4d174"},"schema_version":"1.0","source":{"id":"1405.6187","kind":"arxiv","version":1}},"canonical_sha256":"a91ed9059d3d6ea4c98d928aac1a04259c2384bc1432e72a18c5133dfd9fdb2b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a91ed9059d3d6ea4c98d928aac1a04259c2384bc1432e72a18c5133dfd9fdb2b","first_computed_at":"2026-05-18T02:25:32.625625Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:32.625625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7PWZ+WtV01sOG3lTmshY6EnPEgN7h23/p6qJYp/wIOHVUFjFpw7bmxWzLA9QC5EyRvD9TDu5Rm2lXOwNcUKqAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:32.626116Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.6187","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67fb392cc24e0790a98930b0a5487f01bf65b40d3c041518551d5645bc213f8a","sha256:893de915bcda461edfb7e72cfd3adc48ea30b8ca45a14d34fa01ce7e4b147d0f"],"state_sha256":"3fa33ec478f931c34a0de928bc2d4e21df70ab46477b5526a86dbdbd22772b99"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CW/GXFCyEghC7j0SGu38L8Ab0IE7hF21RkI4/1u6eFmCuKK8DE7ELJ6aYea4XHcsQDMYFxZ/GJQlz6sScREQBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T15:17:52.141242Z","bundle_sha256":"59e5c9cce18994f872f5cf0184ebba147faa7a74f7e1980e2a61da7efae67f1a"}}