{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:CIIVUGY6EJWNABZ6SDGAN2SL25","short_pith_number":"pith:CIIVUGY6","canonical_record":{"source":{"id":"1710.02323","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-10-06T09:29:12Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"8088193db1a76f75b19888a568fd467e94f4f4222b0d23eb75c5921123746333","abstract_canon_sha256":"698e8326f47cc64f7bf88360035a2fb95e6babb283f0337673a99fd11a22cb52"},"schema_version":"1.0"},"canonical_sha256":"12115a1b1e226cd0073e90cc06ea4bd76a972e3cc01a949dc4c4af7085699d71","source":{"kind":"arxiv","id":"1710.02323","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.02323","created_at":"2026-05-18T00:15:30Z"},{"alias_kind":"arxiv_version","alias_value":"1710.02323v2","created_at":"2026-05-18T00:15:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.02323","created_at":"2026-05-18T00:15:30Z"},{"alias_kind":"pith_short_12","alias_value":"CIIVUGY6EJWN","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CIIVUGY6EJWNABZ6","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CIIVUGY6","created_at":"2026-05-18T12:31:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:CIIVUGY6EJWNABZ6SDGAN2SL25","target":"record","payload":{"canonical_record":{"source":{"id":"1710.02323","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-10-06T09:29:12Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"8088193db1a76f75b19888a568fd467e94f4f4222b0d23eb75c5921123746333","abstract_canon_sha256":"698e8326f47cc64f7bf88360035a2fb95e6babb283f0337673a99fd11a22cb52"},"schema_version":"1.0"},"canonical_sha256":"12115a1b1e226cd0073e90cc06ea4bd76a972e3cc01a949dc4c4af7085699d71","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:30.523374Z","signature_b64":"KoxGiLX3Nnjuk2Yoe1MA2i8Ze0e9dYSytpyaWhQTk8KnWp+skZF604BI3mbzXQilH5tDDK7hgpb/Uizr5S7iDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12115a1b1e226cd0073e90cc06ea4bd76a972e3cc01a949dc4c4af7085699d71","last_reissued_at":"2026-05-18T00:15:30.522702Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:30.522702Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.02323","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":"2026-05-18T00:15:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hDRsYLg01UxMk6deJTx6ez4rSJo3vdK497ZtPyJI4KRCf0Fck3iICwLxWL/5z2KFgiNf1SRxzjUEw1HxMQ5NCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T22:37:31.756650Z"},"content_sha256":"b2f4c81e5673a0288086f494080cada3fe28453a3f4a77e7c36663dd8fe56dde","schema_version":"1.0","event_id":"sha256:b2f4c81e5673a0288086f494080cada3fe28453a3f4a77e7c36663dd8fe56dde"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:CIIVUGY6EJWNABZ6SDGAN2SL25","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Limit law of a second class particle in TASEP with non-random initial condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"(2) IST Austria, (3) Columbia University), Patrik L. Ferrari (1), Peter Nejjar (2), Promit Ghosal (3) ((1) Bonn University","submitted_at":"2017-10-06T09:29:12Z","abstract_excerpt":"We consider the totally asymmetric simple exclusion process (TASEP) with non-random initial condition having density $\\rho$ on $\\mathbb{Z}_-$ and $\\lambda$ on $\\mathbb{Z}_+$, and a second class particle initially at the origin. For $\\rho<\\lambda$, there is a shock and the second class particle moves with speed $1-\\lambda-\\rho$. For large time $t$, we show that the position of the second class particle fluctuates on a $t^{1/3}$ scale and determine its limiting law. We also obtain the limiting distribution of the number of steps made by the second class particle until time $t$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.02323","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":"2026-05-18T00:15:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jXY9kUaeVKQYlw9FrN2b0/YKixwMIyvWsxWQqMKPvewCPPXZ1vjtyiTbm1ANw47CKNUUgCRlnIvBhfiSaA4zBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T22:37:31.756995Z"},"content_sha256":"b54ba43ab051b76524d02c17c58512f25bfa0ecba59131de299893a5325b0c38","schema_version":"1.0","event_id":"sha256:b54ba43ab051b76524d02c17c58512f25bfa0ecba59131de299893a5325b0c38"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CIIVUGY6EJWNABZ6SDGAN2SL25/bundle.json","state_url":"https://pith.science/pith/CIIVUGY6EJWNABZ6SDGAN2SL25/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CIIVUGY6EJWNABZ6SDGAN2SL25/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":"2026-06-24T22:37:31Z","links":{"resolver":"https://pith.science/pith/CIIVUGY6EJWNABZ6SDGAN2SL25","bundle":"https://pith.science/pith/CIIVUGY6EJWNABZ6SDGAN2SL25/bundle.json","state":"https://pith.science/pith/CIIVUGY6EJWNABZ6SDGAN2SL25/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CIIVUGY6EJWNABZ6SDGAN2SL25/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CIIVUGY6EJWNABZ6SDGAN2SL25","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":"698e8326f47cc64f7bf88360035a2fb95e6babb283f0337673a99fd11a22cb52","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-10-06T09:29:12Z","title_canon_sha256":"8088193db1a76f75b19888a568fd467e94f4f4222b0d23eb75c5921123746333"},"schema_version":"1.0","source":{"id":"1710.02323","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.02323","created_at":"2026-05-18T00:15:30Z"},{"alias_kind":"arxiv_version","alias_value":"1710.02323v2","created_at":"2026-05-18T00:15:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.02323","created_at":"2026-05-18T00:15:30Z"},{"alias_kind":"pith_short_12","alias_value":"CIIVUGY6EJWN","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CIIVUGY6EJWNABZ6","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CIIVUGY6","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:b54ba43ab051b76524d02c17c58512f25bfa0ecba59131de299893a5325b0c38","target":"graph","created_at":"2026-05-18T00:15:30Z","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 totally asymmetric simple exclusion process (TASEP) with non-random initial condition having density $\\rho$ on $\\mathbb{Z}_-$ and $\\lambda$ on $\\mathbb{Z}_+$, and a second class particle initially at the origin. For $\\rho<\\lambda$, there is a shock and the second class particle moves with speed $1-\\lambda-\\rho$. For large time $t$, we show that the position of the second class particle fluctuates on a $t^{1/3}$ scale and determine its limiting law. We also obtain the limiting distribution of the number of steps made by the second class particle until time $t$.","authors_text":"(2) IST Austria, (3) Columbia University), Patrik L. Ferrari (1), Peter Nejjar (2), Promit Ghosal (3) ((1) Bonn University","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-10-06T09:29:12Z","title":"Limit law of a second class particle in TASEP with non-random initial condition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.02323","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:b2f4c81e5673a0288086f494080cada3fe28453a3f4a77e7c36663dd8fe56dde","target":"record","created_at":"2026-05-18T00:15:30Z","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":"698e8326f47cc64f7bf88360035a2fb95e6babb283f0337673a99fd11a22cb52","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-10-06T09:29:12Z","title_canon_sha256":"8088193db1a76f75b19888a568fd467e94f4f4222b0d23eb75c5921123746333"},"schema_version":"1.0","source":{"id":"1710.02323","kind":"arxiv","version":2}},"canonical_sha256":"12115a1b1e226cd0073e90cc06ea4bd76a972e3cc01a949dc4c4af7085699d71","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12115a1b1e226cd0073e90cc06ea4bd76a972e3cc01a949dc4c4af7085699d71","first_computed_at":"2026-05-18T00:15:30.522702Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:30.522702Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KoxGiLX3Nnjuk2Yoe1MA2i8Ze0e9dYSytpyaWhQTk8KnWp+skZF604BI3mbzXQilH5tDDK7hgpb/Uizr5S7iDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:30.523374Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.02323","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2f4c81e5673a0288086f494080cada3fe28453a3f4a77e7c36663dd8fe56dde","sha256:b54ba43ab051b76524d02c17c58512f25bfa0ecba59131de299893a5325b0c38"],"state_sha256":"085c019563ade81cc5cc1bba861171b47f1a8540654efa19ae64ca1ffedcccbd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0dlMLVtBXR6rMErkj+BlNHv73CPQ4yPpYBzuXSCFfOlEWuku/Ty6C/E0LLRht/eu9aH5RaqZ2/6yBNwkQ2XFDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T22:37:31.759009Z","bundle_sha256":"f10d343fba2b14f9f2110ac8b1b47a408a9685bcebd0b667b487db40bc388096"}}