{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:XUPNYCROGEHYXTP7QYT7CL5RTZ","short_pith_number":"pith:XUPNYCRO","canonical_record":{"source":{"id":"1101.1479","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-01-07T17:20:10Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"8c441969558ae71e3c32847004d82a0b4d8766402178346e9f42810cecaa986a","abstract_canon_sha256":"3964aaa9256314b916452f25b8fb239cb3490d068c88e72f122ce7287e568599"},"schema_version":"1.0"},"canonical_sha256":"bd1edc0a2e310f8bcdff8627f12fb19e5a6fb9ae7405169b9ae1522b2f5c5177","source":{"kind":"arxiv","id":"1101.1479","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.1479","created_at":"2026-05-18T03:24:52Z"},{"alias_kind":"arxiv_version","alias_value":"1101.1479v2","created_at":"2026-05-18T03:24:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.1479","created_at":"2026-05-18T03:24:52Z"},{"alias_kind":"pith_short_12","alias_value":"XUPNYCROGEHY","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"XUPNYCROGEHYXTP7","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"XUPNYCRO","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:XUPNYCROGEHYXTP7QYT7CL5RTZ","target":"record","payload":{"canonical_record":{"source":{"id":"1101.1479","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-01-07T17:20:10Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"8c441969558ae71e3c32847004d82a0b4d8766402178346e9f42810cecaa986a","abstract_canon_sha256":"3964aaa9256314b916452f25b8fb239cb3490d068c88e72f122ce7287e568599"},"schema_version":"1.0"},"canonical_sha256":"bd1edc0a2e310f8bcdff8627f12fb19e5a6fb9ae7405169b9ae1522b2f5c5177","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:52.788105Z","signature_b64":"Ffw1Cb/fCPiL+ciopZLQK7LGUO80zVcfXxrS5SS2uDk7H0fYjy5hSzsxqaAJfTsv+rXbTYce3jgm/NudVLFPBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd1edc0a2e310f8bcdff8627f12fb19e5a6fb9ae7405169b9ae1522b2f5c5177","last_reissued_at":"2026-05-18T03:24:52.787488Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:52.787488Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.1479","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":"2026-05-18T03:24:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vz/mmrwdv8TLswBBzW87pwFwQ1TB8iHOnykgf2tfNgopScS4IF8V+54RCk3PouufXB1jbfnKlluy+l0rG7sYDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:29:00.582657Z"},"content_sha256":"50b03ac8be37452011b30dbc34b1d445cd6575c357752bf4db64ff82861c07b5","schema_version":"1.0","event_id":"sha256:50b03ac8be37452011b30dbc34b1d445cd6575c357752bf4db64ff82861c07b5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:XUPNYCROGEHYXTP7QYT7CL5RTZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Large deviations for the current and tagged particle in 1D nearest-neighbor symmetric simple exclusion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"S. R. S. Varadhan, Sunder Sethuraman","submitted_at":"2011-01-07T17:20:10Z","abstract_excerpt":"Laws of large numbers, starting from certain nonequilibrium measures, have been shown for the integrated current across a bond, and a tagged particle in one-dimensional symmetric nearest-neighbor simple exclusion [Ann. Inst. Henri Poincare Probab. Stat. 42 (2006) 567-577]. In this article, we prove corresponding large deviation principles and evaluate the rate functions, showing different growth behaviors near and far from their zeroes which connect with results in [J. Stat. Phys. 136 (2009) 1-15]."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.1479","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":"2026-05-18T03:24:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Jio7Dnb5DMXTIRL39j90Q/EGFsxd3HNXjYojFEc1ylUxxoJ7/gQuLrcWuMWVn+5oLuUYHXHAePKmHnSgVa3+DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:29:00.583002Z"},"content_sha256":"e2db65dfcccb3b12f92bf475983a4204c406b8bd71991bb5b42b6aaccd042b14","schema_version":"1.0","event_id":"sha256:e2db65dfcccb3b12f92bf475983a4204c406b8bd71991bb5b42b6aaccd042b14"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XUPNYCROGEHYXTP7QYT7CL5RTZ/bundle.json","state_url":"https://pith.science/pith/XUPNYCROGEHYXTP7QYT7CL5RTZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XUPNYCROGEHYXTP7QYT7CL5RTZ/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":"2026-06-04T19:29:00Z","links":{"resolver":"https://pith.science/pith/XUPNYCROGEHYXTP7QYT7CL5RTZ","bundle":"https://pith.science/pith/XUPNYCROGEHYXTP7QYT7CL5RTZ/bundle.json","state":"https://pith.science/pith/XUPNYCROGEHYXTP7QYT7CL5RTZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XUPNYCROGEHYXTP7QYT7CL5RTZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:XUPNYCROGEHYXTP7QYT7CL5RTZ","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":"3964aaa9256314b916452f25b8fb239cb3490d068c88e72f122ce7287e568599","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-01-07T17:20:10Z","title_canon_sha256":"8c441969558ae71e3c32847004d82a0b4d8766402178346e9f42810cecaa986a"},"schema_version":"1.0","source":{"id":"1101.1479","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.1479","created_at":"2026-05-18T03:24:52Z"},{"alias_kind":"arxiv_version","alias_value":"1101.1479v2","created_at":"2026-05-18T03:24:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.1479","created_at":"2026-05-18T03:24:52Z"},{"alias_kind":"pith_short_12","alias_value":"XUPNYCROGEHY","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"XUPNYCROGEHYXTP7","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"XUPNYCRO","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:e2db65dfcccb3b12f92bf475983a4204c406b8bd71991bb5b42b6aaccd042b14","target":"graph","created_at":"2026-05-18T03:24:52Z","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":"Laws of large numbers, starting from certain nonequilibrium measures, have been shown for the integrated current across a bond, and a tagged particle in one-dimensional symmetric nearest-neighbor simple exclusion [Ann. Inst. Henri Poincare Probab. Stat. 42 (2006) 567-577]. In this article, we prove corresponding large deviation principles and evaluate the rate functions, showing different growth behaviors near and far from their zeroes which connect with results in [J. Stat. Phys. 136 (2009) 1-15].","authors_text":"S. R. S. Varadhan, Sunder Sethuraman","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-01-07T17:20:10Z","title":"Large deviations for the current and tagged particle in 1D nearest-neighbor symmetric simple exclusion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.1479","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":"sha256:50b03ac8be37452011b30dbc34b1d445cd6575c357752bf4db64ff82861c07b5","target":"record","created_at":"2026-05-18T03:24:52Z","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":"3964aaa9256314b916452f25b8fb239cb3490d068c88e72f122ce7287e568599","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-01-07T17:20:10Z","title_canon_sha256":"8c441969558ae71e3c32847004d82a0b4d8766402178346e9f42810cecaa986a"},"schema_version":"1.0","source":{"id":"1101.1479","kind":"arxiv","version":2}},"canonical_sha256":"bd1edc0a2e310f8bcdff8627f12fb19e5a6fb9ae7405169b9ae1522b2f5c5177","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd1edc0a2e310f8bcdff8627f12fb19e5a6fb9ae7405169b9ae1522b2f5c5177","first_computed_at":"2026-05-18T03:24:52.787488Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:52.787488Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ffw1Cb/fCPiL+ciopZLQK7LGUO80zVcfXxrS5SS2uDk7H0fYjy5hSzsxqaAJfTsv+rXbTYce3jgm/NudVLFPBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:52.788105Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.1479","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50b03ac8be37452011b30dbc34b1d445cd6575c357752bf4db64ff82861c07b5","sha256:e2db65dfcccb3b12f92bf475983a4204c406b8bd71991bb5b42b6aaccd042b14"],"state_sha256":"1aec1b49292d854973aa462fb868705dd34e006b2c6268c6e960165b04c1be02"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"przB4fK/J6rQ3LBhanWkgKimdOERKi7AtMZvfYkAqEjcOJSq54a0REXqzkrqH7dHayIFSvRakrrKuq0zFiZdAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T19:29:00.585221Z","bundle_sha256":"65bd0843dea74d860f60b3401f92a5b2a736a180f31a8bfa82df442a7df72611"}}