{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:B2T7FA2V2GII3GRKP6XFQVGWNT","short_pith_number":"pith:B2T7FA2V","canonical_record":{"source":{"id":"1503.02035","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-03-06T19:02:21Z","cross_cats_sorted":[],"title_canon_sha256":"c1c5470fb1824bc28fa1a60c2467e4c0cc367600093be16509be838516d663c3","abstract_canon_sha256":"692ad6a9901e3982e6766c2780f233af55f44426c266f3f01026e553d6af714a"},"schema_version":"1.0"},"canonical_sha256":"0ea7f28355d1908d9a2a7fae5854d66cdcaaf166b81bdfb4cfcbb1d79b14ac7f","source":{"kind":"arxiv","id":"1503.02035","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.02035","created_at":"2026-05-18T01:22:50Z"},{"alias_kind":"arxiv_version","alias_value":"1503.02035v4","created_at":"2026-05-18T01:22:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.02035","created_at":"2026-05-18T01:22:50Z"},{"alias_kind":"pith_short_12","alias_value":"B2T7FA2V2GII","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"B2T7FA2V2GII3GRK","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"B2T7FA2V","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:B2T7FA2V2GII3GRKP6XFQVGWNT","target":"record","payload":{"canonical_record":{"source":{"id":"1503.02035","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-03-06T19:02:21Z","cross_cats_sorted":[],"title_canon_sha256":"c1c5470fb1824bc28fa1a60c2467e4c0cc367600093be16509be838516d663c3","abstract_canon_sha256":"692ad6a9901e3982e6766c2780f233af55f44426c266f3f01026e553d6af714a"},"schema_version":"1.0"},"canonical_sha256":"0ea7f28355d1908d9a2a7fae5854d66cdcaaf166b81bdfb4cfcbb1d79b14ac7f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:50.788749Z","signature_b64":"gKCeWbsqPqqO0JxOwf9CJu5kJHTmd1a/kKhAp1MmdJXuSQMyB0KzpFMx4C4XFQcoGa7Uk0My0RFrMT+d4yuoCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ea7f28355d1908d9a2a7fae5854d66cdcaaf166b81bdfb4cfcbb1d79b14ac7f","last_reissued_at":"2026-05-18T01:22:50.788194Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:50.788194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.02035","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:22:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"arkkSZw/ash/+G4NeFP5nnwAnkOn6D40d8CSMkAreezVkM8CZmOx3afJ4/Tocm6NcMAPr+qd8JLjuuqdyXHrDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T21:18:46.852615Z"},"content_sha256":"5c213669078ebb19aec8d8cc892a1a51303ddd616f06d73ef18cbea6dd4b837c","schema_version":"1.0","event_id":"sha256:5c213669078ebb19aec8d8cc892a1a51303ddd616f06d73ef18cbea6dd4b837c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:B2T7FA2V2GII3GRKP6XFQVGWNT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Large Deviation Principle for Interacting Brownian Motions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Insuk Seo","submitted_at":"2015-03-06T19:02:21Z","abstract_excerpt":"We prove the Large Deviation Principle for the empirical process in a system of locally interacting Brownian motions in the nonequilibrium dynamic. Such a phenomenon has been proven only for two lattice systems: the symmetric simple exclusion process and zero-range process. Therefore, we have achieved the third result in this context and moreover the first result for the diffusion-type interacting particle system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.02035","kind":"arxiv","version":4},"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":"2026-05-18T01:22:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RYAv6H6roZskNS1U2e1PS0AD9gBWf8Dwa6N8gvypewphFOKE9SKVAeqkWYzq4+kSJkrvDrznjlFdfNcoCen2Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T21:18:46.853342Z"},"content_sha256":"2202b4199fe44a2eaf3b7a2ad7367ac5c17d668130254474c4bafc3aa26c5d02","schema_version":"1.0","event_id":"sha256:2202b4199fe44a2eaf3b7a2ad7367ac5c17d668130254474c4bafc3aa26c5d02"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B2T7FA2V2GII3GRKP6XFQVGWNT/bundle.json","state_url":"https://pith.science/pith/B2T7FA2V2GII3GRKP6XFQVGWNT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B2T7FA2V2GII3GRKP6XFQVGWNT/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":"2026-06-08T21:18:46Z","links":{"resolver":"https://pith.science/pith/B2T7FA2V2GII3GRKP6XFQVGWNT","bundle":"https://pith.science/pith/B2T7FA2V2GII3GRKP6XFQVGWNT/bundle.json","state":"https://pith.science/pith/B2T7FA2V2GII3GRKP6XFQVGWNT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B2T7FA2V2GII3GRKP6XFQVGWNT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:B2T7FA2V2GII3GRKP6XFQVGWNT","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":"692ad6a9901e3982e6766c2780f233af55f44426c266f3f01026e553d6af714a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-03-06T19:02:21Z","title_canon_sha256":"c1c5470fb1824bc28fa1a60c2467e4c0cc367600093be16509be838516d663c3"},"schema_version":"1.0","source":{"id":"1503.02035","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.02035","created_at":"2026-05-18T01:22:50Z"},{"alias_kind":"arxiv_version","alias_value":"1503.02035v4","created_at":"2026-05-18T01:22:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.02035","created_at":"2026-05-18T01:22:50Z"},{"alias_kind":"pith_short_12","alias_value":"B2T7FA2V2GII","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"B2T7FA2V2GII3GRK","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"B2T7FA2V","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:2202b4199fe44a2eaf3b7a2ad7367ac5c17d668130254474c4bafc3aa26c5d02","target":"graph","created_at":"2026-05-18T01:22:50Z","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 prove the Large Deviation Principle for the empirical process in a system of locally interacting Brownian motions in the nonequilibrium dynamic. Such a phenomenon has been proven only for two lattice systems: the symmetric simple exclusion process and zero-range process. Therefore, we have achieved the third result in this context and moreover the first result for the diffusion-type interacting particle system.","authors_text":"Insuk Seo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-03-06T19:02:21Z","title":"Large Deviation Principle for Interacting Brownian Motions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.02035","kind":"arxiv","version":4},"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":"sha256:5c213669078ebb19aec8d8cc892a1a51303ddd616f06d73ef18cbea6dd4b837c","target":"record","created_at":"2026-05-18T01:22:50Z","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":"692ad6a9901e3982e6766c2780f233af55f44426c266f3f01026e553d6af714a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-03-06T19:02:21Z","title_canon_sha256":"c1c5470fb1824bc28fa1a60c2467e4c0cc367600093be16509be838516d663c3"},"schema_version":"1.0","source":{"id":"1503.02035","kind":"arxiv","version":4}},"canonical_sha256":"0ea7f28355d1908d9a2a7fae5854d66cdcaaf166b81bdfb4cfcbb1d79b14ac7f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ea7f28355d1908d9a2a7fae5854d66cdcaaf166b81bdfb4cfcbb1d79b14ac7f","first_computed_at":"2026-05-18T01:22:50.788194Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:50.788194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gKCeWbsqPqqO0JxOwf9CJu5kJHTmd1a/kKhAp1MmdJXuSQMyB0KzpFMx4C4XFQcoGa7Uk0My0RFrMT+d4yuoCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:50.788749Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.02035","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c213669078ebb19aec8d8cc892a1a51303ddd616f06d73ef18cbea6dd4b837c","sha256:2202b4199fe44a2eaf3b7a2ad7367ac5c17d668130254474c4bafc3aa26c5d02"],"state_sha256":"48ca24233ac3db0b4c9c7b643cbf7442f56547ec360f79d141cb95db259b44b1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"10iNlC42t9Q0SuuU6GEgI+RyWAqoiuTPMXDZNXD9w0nPlqhoB6YCBwyFsnPzM3A2KIPr1L+AOuLYjFNISEVAAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T21:18:46.857411Z","bundle_sha256":"ae4e5aabc5de5e8d25ba49113ca88a36c4533b8f1b2555f5d928104ff748f080"}}