{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:U66GE5LJST2JAUKYSKNBUT5B72","short_pith_number":"pith:U66GE5LJ","canonical_record":{"source":{"id":"1907.10583","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-07-24T17:35:27Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"e34d3329ae7f5460001e953c2c217509dcabf19e00f99d1feeac79954567584d","abstract_canon_sha256":"2b6b34233234d734b7f01a3248e4002eef317c23b4f0703b76b05156e20df36b"},"schema_version":"1.0"},"canonical_sha256":"a7bc62756994f4905158929a1a4fa1fe9d033d582f8aab0f310857127f044dc1","source":{"kind":"arxiv","id":"1907.10583","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.10583","created_at":"2026-07-05T00:27:44Z"},{"alias_kind":"arxiv_version","alias_value":"1907.10583v2","created_at":"2026-07-05T00:27:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.10583","created_at":"2026-07-05T00:27:44Z"},{"alias_kind":"pith_short_12","alias_value":"U66GE5LJST2J","created_at":"2026-07-05T00:27:44Z"},{"alias_kind":"pith_short_16","alias_value":"U66GE5LJST2JAUKY","created_at":"2026-07-05T00:27:44Z"},{"alias_kind":"pith_short_8","alias_value":"U66GE5LJ","created_at":"2026-07-05T00:27:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:U66GE5LJST2JAUKYSKNBUT5B72","target":"record","payload":{"canonical_record":{"source":{"id":"1907.10583","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-07-24T17:35:27Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"e34d3329ae7f5460001e953c2c217509dcabf19e00f99d1feeac79954567584d","abstract_canon_sha256":"2b6b34233234d734b7f01a3248e4002eef317c23b4f0703b76b05156e20df36b"},"schema_version":"1.0"},"canonical_sha256":"a7bc62756994f4905158929a1a4fa1fe9d033d582f8aab0f310857127f044dc1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:27:44.390026Z","signature_b64":"1jSuaChAPPHHJ0KeDCopRfUfbYMC4a3Kaj96ngnjTzSGsaWJ52igmdFauQMyeUP1G9x3we5KY0xVLUvEnAlPAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7bc62756994f4905158929a1a4fa1fe9d033d582f8aab0f310857127f044dc1","last_reissued_at":"2026-07-05T00:27:44.389578Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:27:44.389578Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1907.10583","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":"2026-07-05T00:27:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yhc2dtNB6cnnLrICsUTTPJUs8AbiV5yKx0jKFYmGPS96OvgyfwY1hG0cXtjmeBe2CU2KOTyOyT7JfdbkOxyECA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T23:00:13.914276Z"},"content_sha256":"b8231edef6b2fe3c3fc754b11075b6090c89fd55ea5118c4425ead3b79bb18c8","schema_version":"1.0","event_id":"sha256:b8231edef6b2fe3c3fc754b11075b6090c89fd55ea5118c4425ead3b79bb18c8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:U66GE5LJST2JAUKYSKNBUT5B72","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Consistent particle systems and duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Cristian Giardin\\`a, Frank Redig, Gioia Carinci","submitted_at":"2019-07-24T17:35:27Z","abstract_excerpt":"We consider consistent particle systems, which include independent random walkers, the symmetric exclusion and inclusion processes, as well as the dual of the KMP model. Consistent systems are such that the distribution obtained by first evolving $n$ particles and then removing a particle at random is the same as the one given by a random removal of a particle at the initial time followed by evolution of the remaining $n-1$ particles. In this paper we discuss two main results. Firstly, we show that, for reversible systems, the property of consistency is equivalent to self-duality, thus obtaini"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.10583","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1907.10583/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T00:27:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZOASgVkJWEnnXZNlS+K7k8ECvGPLz6iFM9+N0tWF9Zyl13mqEHmK5HsbXtbYSW0N2eSpuJ2wv0TltzVK4mnADA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T23:00:13.915260Z"},"content_sha256":"307841c3012d32aafe6ca9365834c89c35b3fbbe004501fc7016cad0e27cabfb","schema_version":"1.0","event_id":"sha256:307841c3012d32aafe6ca9365834c89c35b3fbbe004501fc7016cad0e27cabfb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U66GE5LJST2JAUKYSKNBUT5B72/bundle.json","state_url":"https://pith.science/pith/U66GE5LJST2JAUKYSKNBUT5B72/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U66GE5LJST2JAUKYSKNBUT5B72/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":"2026-08-16T23:00:13Z","links":{"resolver":"https://pith.science/pith/U66GE5LJST2JAUKYSKNBUT5B72","bundle":"https://pith.science/pith/U66GE5LJST2JAUKYSKNBUT5B72/bundle.json","state":"https://pith.science/pith/U66GE5LJST2JAUKYSKNBUT5B72/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U66GE5LJST2JAUKYSKNBUT5B72/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:U66GE5LJST2JAUKYSKNBUT5B72","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":"2b6b34233234d734b7f01a3248e4002eef317c23b4f0703b76b05156e20df36b","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-07-24T17:35:27Z","title_canon_sha256":"e34d3329ae7f5460001e953c2c217509dcabf19e00f99d1feeac79954567584d"},"schema_version":"1.0","source":{"id":"1907.10583","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.10583","created_at":"2026-07-05T00:27:44Z"},{"alias_kind":"arxiv_version","alias_value":"1907.10583v2","created_at":"2026-07-05T00:27:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.10583","created_at":"2026-07-05T00:27:44Z"},{"alias_kind":"pith_short_12","alias_value":"U66GE5LJST2J","created_at":"2026-07-05T00:27:44Z"},{"alias_kind":"pith_short_16","alias_value":"U66GE5LJST2JAUKY","created_at":"2026-07-05T00:27:44Z"},{"alias_kind":"pith_short_8","alias_value":"U66GE5LJ","created_at":"2026-07-05T00:27:44Z"}],"graph_snapshots":[{"event_id":"sha256:307841c3012d32aafe6ca9365834c89c35b3fbbe004501fc7016cad0e27cabfb","target":"graph","created_at":"2026-07-05T00:27:44Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1907.10583/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider consistent particle systems, which include independent random walkers, the symmetric exclusion and inclusion processes, as well as the dual of the KMP model. Consistent systems are such that the distribution obtained by first evolving $n$ particles and then removing a particle at random is the same as the one given by a random removal of a particle at the initial time followed by evolution of the remaining $n-1$ particles. In this paper we discuss two main results. Firstly, we show that, for reversible systems, the property of consistency is equivalent to self-duality, thus obtaini","authors_text":"Cristian Giardin\\`a, Frank Redig, Gioia Carinci","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-07-24T17:35:27Z","title":"Consistent particle systems and duality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.10583","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:b8231edef6b2fe3c3fc754b11075b6090c89fd55ea5118c4425ead3b79bb18c8","target":"record","created_at":"2026-07-05T00:27:44Z","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":"2b6b34233234d734b7f01a3248e4002eef317c23b4f0703b76b05156e20df36b","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-07-24T17:35:27Z","title_canon_sha256":"e34d3329ae7f5460001e953c2c217509dcabf19e00f99d1feeac79954567584d"},"schema_version":"1.0","source":{"id":"1907.10583","kind":"arxiv","version":2}},"canonical_sha256":"a7bc62756994f4905158929a1a4fa1fe9d033d582f8aab0f310857127f044dc1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7bc62756994f4905158929a1a4fa1fe9d033d582f8aab0f310857127f044dc1","first_computed_at":"2026-07-05T00:27:44.389578Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:27:44.389578Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1jSuaChAPPHHJ0KeDCopRfUfbYMC4a3Kaj96ngnjTzSGsaWJ52igmdFauQMyeUP1G9x3we5KY0xVLUvEnAlPAA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:27:44.390026Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.10583","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8231edef6b2fe3c3fc754b11075b6090c89fd55ea5118c4425ead3b79bb18c8","sha256:307841c3012d32aafe6ca9365834c89c35b3fbbe004501fc7016cad0e27cabfb"],"state_sha256":"2b2601bd718ada804e0d59f3ba0f5436877dabf7e19e76499fd4230a60d0dde9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+tOpaSyeehRH620mEwjPUDvWMq+qUsFEtXy8aOsofxhZhkE/61Y3sRH5N+/U/ofiph3+zbAxxqbSfqDjwGUZAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T23:00:13.924293Z","bundle_sha256":"cd454fcc468db83c767d7dc695b1a954956b3e5e29e2cdcec9b1b462a84445f4"}}