{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:OWDJEGNETHHER4J4BGKPVWVKC3","short_pith_number":"pith:OWDJEGNE","canonical_record":{"source":{"id":"1610.07765","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-10-25T07:42:14Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"baa47085fa80a7e0377f0a6586a5d4d4aa9488f3c936a41bbeb9493fbe93e3bd","abstract_canon_sha256":"8e359fe74d46e86dedc52864e3af3f1dda9e79e8233afb740cde3fd890cf7f21"},"schema_version":"1.0"},"canonical_sha256":"75869219a499ce48f13c0994fadaaa16ef3086e87baa80650894a2ba605ede70","source":{"kind":"arxiv","id":"1610.07765","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.07765","created_at":"2026-05-18T01:01:17Z"},{"alias_kind":"arxiv_version","alias_value":"1610.07765v1","created_at":"2026-05-18T01:01:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.07765","created_at":"2026-05-18T01:01:17Z"},{"alias_kind":"pith_short_12","alias_value":"OWDJEGNETHHE","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OWDJEGNETHHER4J4","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OWDJEGNE","created_at":"2026-05-18T12:30:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:OWDJEGNETHHER4J4BGKPVWVKC3","target":"record","payload":{"canonical_record":{"source":{"id":"1610.07765","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-10-25T07:42:14Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"baa47085fa80a7e0377f0a6586a5d4d4aa9488f3c936a41bbeb9493fbe93e3bd","abstract_canon_sha256":"8e359fe74d46e86dedc52864e3af3f1dda9e79e8233afb740cde3fd890cf7f21"},"schema_version":"1.0"},"canonical_sha256":"75869219a499ce48f13c0994fadaaa16ef3086e87baa80650894a2ba605ede70","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:17.677671Z","signature_b64":"Bbbu2ci0EDgMo2JBcT0jNfiXRRf8gq12tiM28hCc+t5vjJehwmiiE9wqnOQ6N48kHlbB+wzf/Cq3z/rMjhIxBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"75869219a499ce48f13c0994fadaaa16ef3086e87baa80650894a2ba605ede70","last_reissued_at":"2026-05-18T01:01:17.677009Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:17.677009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.07765","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":"2026-05-18T01:01:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jKmkmc3UHGvqZb3ZgQAG8DKOqnNjHD3o4s/ObiRq1iLPEzo94JRJDc752cJgfv8cp4xoUANqsdLNRFJDCJTaAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T17:00:20.622508Z"},"content_sha256":"e8ba74daf777d91cf91238aa8cab8d15a3569a7812b7a61f1ed54d90e635fe55","schema_version":"1.0","event_id":"sha256:e8ba74daf777d91cf91238aa8cab8d15a3569a7812b7a61f1ed54d90e635fe55"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:OWDJEGNETHHER4J4BGKPVWVKC3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Invariance principle for `push' tagged particles for a Toom Interface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Nick Crawford, Wojciech De Roeck","submitted_at":"2016-10-25T07:42:14Z","abstract_excerpt":"In many interacting particle systems, tagged particles move diffusively upon subtracting a drift. General techniques to prove such `invariance principles' are available for reversible processes (Kipnis-Varadhan) and for non-reversible processes in dimension $d>2$. The interest of our paper is that it considers a non-reversible one-dimensional process: the Toom model. The reason that we can prove the invariance principle is that in this model, push-tagged particles move manifestly slower than second-class particles."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.07765","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":"2026-05-18T01:01:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+2E0PNvqz6NT+mT21B8mEVL5KxmbCxFg7UXrrZfOV6a5qXyJYIuOEU/BLGEN4ZgFJy/B6uz20jfbswXxkMY3Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T17:00:20.622860Z"},"content_sha256":"881ef4a753a57f5ba024215c7b1395e534d32e71a0f125041225a55a09539a28","schema_version":"1.0","event_id":"sha256:881ef4a753a57f5ba024215c7b1395e534d32e71a0f125041225a55a09539a28"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OWDJEGNETHHER4J4BGKPVWVKC3/bundle.json","state_url":"https://pith.science/pith/OWDJEGNETHHER4J4BGKPVWVKC3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OWDJEGNETHHER4J4BGKPVWVKC3/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":"2026-05-19T17:00:20Z","links":{"resolver":"https://pith.science/pith/OWDJEGNETHHER4J4BGKPVWVKC3","bundle":"https://pith.science/pith/OWDJEGNETHHER4J4BGKPVWVKC3/bundle.json","state":"https://pith.science/pith/OWDJEGNETHHER4J4BGKPVWVKC3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OWDJEGNETHHER4J4BGKPVWVKC3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:OWDJEGNETHHER4J4BGKPVWVKC3","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":"8e359fe74d46e86dedc52864e3af3f1dda9e79e8233afb740cde3fd890cf7f21","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-10-25T07:42:14Z","title_canon_sha256":"baa47085fa80a7e0377f0a6586a5d4d4aa9488f3c936a41bbeb9493fbe93e3bd"},"schema_version":"1.0","source":{"id":"1610.07765","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.07765","created_at":"2026-05-18T01:01:17Z"},{"alias_kind":"arxiv_version","alias_value":"1610.07765v1","created_at":"2026-05-18T01:01:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.07765","created_at":"2026-05-18T01:01:17Z"},{"alias_kind":"pith_short_12","alias_value":"OWDJEGNETHHE","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OWDJEGNETHHER4J4","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OWDJEGNE","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:881ef4a753a57f5ba024215c7b1395e534d32e71a0f125041225a55a09539a28","target":"graph","created_at":"2026-05-18T01:01:17Z","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 many interacting particle systems, tagged particles move diffusively upon subtracting a drift. General techniques to prove such `invariance principles' are available for reversible processes (Kipnis-Varadhan) and for non-reversible processes in dimension $d>2$. The interest of our paper is that it considers a non-reversible one-dimensional process: the Toom model. The reason that we can prove the invariance principle is that in this model, push-tagged particles move manifestly slower than second-class particles.","authors_text":"Nick Crawford, Wojciech De Roeck","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-10-25T07:42:14Z","title":"Invariance principle for `push' tagged particles for a Toom Interface"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.07765","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:e8ba74daf777d91cf91238aa8cab8d15a3569a7812b7a61f1ed54d90e635fe55","target":"record","created_at":"2026-05-18T01:01:17Z","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":"8e359fe74d46e86dedc52864e3af3f1dda9e79e8233afb740cde3fd890cf7f21","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-10-25T07:42:14Z","title_canon_sha256":"baa47085fa80a7e0377f0a6586a5d4d4aa9488f3c936a41bbeb9493fbe93e3bd"},"schema_version":"1.0","source":{"id":"1610.07765","kind":"arxiv","version":1}},"canonical_sha256":"75869219a499ce48f13c0994fadaaa16ef3086e87baa80650894a2ba605ede70","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"75869219a499ce48f13c0994fadaaa16ef3086e87baa80650894a2ba605ede70","first_computed_at":"2026-05-18T01:01:17.677009Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:17.677009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Bbbu2ci0EDgMo2JBcT0jNfiXRRf8gq12tiM28hCc+t5vjJehwmiiE9wqnOQ6N48kHlbB+wzf/Cq3z/rMjhIxBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:17.677671Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.07765","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8ba74daf777d91cf91238aa8cab8d15a3569a7812b7a61f1ed54d90e635fe55","sha256:881ef4a753a57f5ba024215c7b1395e534d32e71a0f125041225a55a09539a28"],"state_sha256":"a594c4d5cfd9a607af9a85c73e9afa1dba01c7e41462d3347b70bf7613cb2cdd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aHYpHtOPdi7Ww9zDOZ0ySRcsFhWk+PYzt9s7c6R9Ub2s36BeRSWyPiPqaBrFwAapCaBDn3fPwNKxKAtut0+ECA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T17:00:20.625150Z","bundle_sha256":"d96726a41626645c6005a9db1de9c53745df4ec54f78e7a553c89ba52008d110"}}