{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:EIBEEI6SJPVECJM5ZNUX7X2A5C","short_pith_number":"pith:EIBEEI6S","canonical_record":{"source":{"id":"math/0512394","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.PR","submitted_at":"2005-12-16T14:53:56Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"68a214119b2ad6dc9a19bc3b6782f8a20ba820c1ffbd2097e138b269adb5bd97","abstract_canon_sha256":"c29c397f001103e730c2b07bb96248a4760a284300086ebfe41645250e6320b2"},"schema_version":"1.0"},"canonical_sha256":"22024223d24bea41259dcb697fdf40e890ad5c339777aa9b75fc0108b257cd1f","source":{"kind":"arxiv","id":"math/0512394","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0512394","created_at":"2026-05-18T01:24:09Z"},{"alias_kind":"arxiv_version","alias_value":"math/0512394v1","created_at":"2026-05-18T01:24:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0512394","created_at":"2026-05-18T01:24:09Z"},{"alias_kind":"pith_short_12","alias_value":"EIBEEI6SJPVE","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"EIBEEI6SJPVECJM5","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"EIBEEI6S","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:EIBEEI6SJPVECJM5ZNUX7X2A5C","target":"record","payload":{"canonical_record":{"source":{"id":"math/0512394","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.PR","submitted_at":"2005-12-16T14:53:56Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"68a214119b2ad6dc9a19bc3b6782f8a20ba820c1ffbd2097e138b269adb5bd97","abstract_canon_sha256":"c29c397f001103e730c2b07bb96248a4760a284300086ebfe41645250e6320b2"},"schema_version":"1.0"},"canonical_sha256":"22024223d24bea41259dcb697fdf40e890ad5c339777aa9b75fc0108b257cd1f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:09.233629Z","signature_b64":"nY2MCmHpinRAwbpNVxU3ZbToYCi52zEId4/JdzBnhtAVpDeYaw55eaBhWTKK4RuJ2WP3DMA0ZOSkbK5m2s3kCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22024223d24bea41259dcb697fdf40e890ad5c339777aa9b75fc0108b257cd1f","last_reissued_at":"2026-05-18T01:24:09.233089Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:09.233089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0512394","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":"2026-05-18T01:24:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z+jGicC+vmnyvSnFesJiHrhn6mKgONnBJbwGFVVh6j1BxFhFLyWOxQGpH71bwtlweoKVrO1c6BK+o+TYcLGGDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T04:26:39.376426Z"},"content_sha256":"bfd12757879b33bcc9ae70c3a1f046e3586d4eb0d269d98ae89505eea8a4d302","schema_version":"1.0","event_id":"sha256:bfd12757879b33bcc9ae70c3a1f046e3586d4eb0d269d98ae89505eea8a4d302"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:EIBEEI6SJPVECJM5ZNUX7X2A5C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Large deviations of the empirical current in interacting particle systems","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"math.PR","authors_text":"A. De Sole, C. Landim, D. Gabrielli, G. Jona-Lasinio, L. Bertini","submitted_at":"2005-12-16T14:53:56Z","abstract_excerpt":"We study current fluctuations in lattice gases in the hydrodynamic scaling limit. More precisely, we prove a large deviation principle for the empirical current in the symmetric simple exclusion process with rate functional I. We then estimate the asymptotic probability of a fluctuation of the average current over a large time interval and show that the corresponding rate function can be obtained by solving a variational problem for the functional I. For the symmetric simple exclusion process the minimizer is time independent so that this variational problem can be reduced to a time independen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0512394","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":"2026-05-18T01:24:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RRGreH6Sbk6Lh4ZQJ3p/cb28uISO5BEvmjIReLZr5imL5bmnzlolhn65tZC2Ift1iepSRzm1d7mUnD+VSXERDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T04:26:39.376776Z"},"content_sha256":"8b5478663ef8dbf29dd82c5dea97ac052ef1f62745431f809201a62d15ccfbed","schema_version":"1.0","event_id":"sha256:8b5478663ef8dbf29dd82c5dea97ac052ef1f62745431f809201a62d15ccfbed"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EIBEEI6SJPVECJM5ZNUX7X2A5C/bundle.json","state_url":"https://pith.science/pith/EIBEEI6SJPVECJM5ZNUX7X2A5C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EIBEEI6SJPVECJM5ZNUX7X2A5C/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":"2026-06-03T04:26:39Z","links":{"resolver":"https://pith.science/pith/EIBEEI6SJPVECJM5ZNUX7X2A5C","bundle":"https://pith.science/pith/EIBEEI6SJPVECJM5ZNUX7X2A5C/bundle.json","state":"https://pith.science/pith/EIBEEI6SJPVECJM5ZNUX7X2A5C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EIBEEI6SJPVECJM5ZNUX7X2A5C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:EIBEEI6SJPVECJM5ZNUX7X2A5C","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":"c29c397f001103e730c2b07bb96248a4760a284300086ebfe41645250e6320b2","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"math.PR","submitted_at":"2005-12-16T14:53:56Z","title_canon_sha256":"68a214119b2ad6dc9a19bc3b6782f8a20ba820c1ffbd2097e138b269adb5bd97"},"schema_version":"1.0","source":{"id":"math/0512394","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0512394","created_at":"2026-05-18T01:24:09Z"},{"alias_kind":"arxiv_version","alias_value":"math/0512394v1","created_at":"2026-05-18T01:24:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0512394","created_at":"2026-05-18T01:24:09Z"},{"alias_kind":"pith_short_12","alias_value":"EIBEEI6SJPVE","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"EIBEEI6SJPVECJM5","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"EIBEEI6S","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:8b5478663ef8dbf29dd82c5dea97ac052ef1f62745431f809201a62d15ccfbed","target":"graph","created_at":"2026-05-18T01:24:09Z","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 study current fluctuations in lattice gases in the hydrodynamic scaling limit. More precisely, we prove a large deviation principle for the empirical current in the symmetric simple exclusion process with rate functional I. We then estimate the asymptotic probability of a fluctuation of the average current over a large time interval and show that the corresponding rate function can be obtained by solving a variational problem for the functional I. For the symmetric simple exclusion process the minimizer is time independent so that this variational problem can be reduced to a time independen","authors_text":"A. De Sole, C. Landim, D. Gabrielli, G. Jona-Lasinio, L. Bertini","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"","primary_cat":"math.PR","submitted_at":"2005-12-16T14:53:56Z","title":"Large deviations of the empirical current in interacting particle systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0512394","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:bfd12757879b33bcc9ae70c3a1f046e3586d4eb0d269d98ae89505eea8a4d302","target":"record","created_at":"2026-05-18T01:24:09Z","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":"c29c397f001103e730c2b07bb96248a4760a284300086ebfe41645250e6320b2","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"math.PR","submitted_at":"2005-12-16T14:53:56Z","title_canon_sha256":"68a214119b2ad6dc9a19bc3b6782f8a20ba820c1ffbd2097e138b269adb5bd97"},"schema_version":"1.0","source":{"id":"math/0512394","kind":"arxiv","version":1}},"canonical_sha256":"22024223d24bea41259dcb697fdf40e890ad5c339777aa9b75fc0108b257cd1f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22024223d24bea41259dcb697fdf40e890ad5c339777aa9b75fc0108b257cd1f","first_computed_at":"2026-05-18T01:24:09.233089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:09.233089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nY2MCmHpinRAwbpNVxU3ZbToYCi52zEId4/JdzBnhtAVpDeYaw55eaBhWTKK4RuJ2WP3DMA0ZOSkbK5m2s3kCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:09.233629Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0512394","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bfd12757879b33bcc9ae70c3a1f046e3586d4eb0d269d98ae89505eea8a4d302","sha256:8b5478663ef8dbf29dd82c5dea97ac052ef1f62745431f809201a62d15ccfbed"],"state_sha256":"1c7d5995d9ba4ef957424df7f1e48a4ce567f0bc946564f1ed73c86ba0dddfde"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2xxouCw3B4zmYPrJ9W+5ecogUVYIAuazNAeC1TUY8G6MmkQmBVVGZy/wv8tHYKN2bfd+FnqEQFKPlxDpS+VkAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T04:26:39.378630Z","bundle_sha256":"ec395d6e5b4734ad82b035c769ed3188628aa9a7581cf9cb8bd9566f8ecfed3f"}}