{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:JONKVS325G4A5Q52GHALDQPGAY","short_pith_number":"pith:JONKVS32","canonical_record":{"source":{"id":"1309.5120","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-09-20T00:08:34Z","cross_cats_sorted":[],"title_canon_sha256":"14dc047e5ddaecc154823de2535de13ca03a8254ece3a95fe2e4f7b64bdb03a0","abstract_canon_sha256":"6e663c4b6fc7136e5d38f5d38d2ad3749b0c4b03e38ecde1147037f9b8cdef8f"},"schema_version":"1.0"},"canonical_sha256":"4b9aaacb7ae9b80ec3ba31c0b1c1e6061ba5f8a84a063ef98fb8c5cfd1749372","source":{"kind":"arxiv","id":"1309.5120","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.5120","created_at":"2026-05-18T01:47:35Z"},{"alias_kind":"arxiv_version","alias_value":"1309.5120v1","created_at":"2026-05-18T01:47:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.5120","created_at":"2026-05-18T01:47:35Z"},{"alias_kind":"pith_short_12","alias_value":"JONKVS325G4A","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JONKVS325G4A5Q52","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JONKVS32","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:JONKVS325G4A5Q52GHALDQPGAY","target":"record","payload":{"canonical_record":{"source":{"id":"1309.5120","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-09-20T00:08:34Z","cross_cats_sorted":[],"title_canon_sha256":"14dc047e5ddaecc154823de2535de13ca03a8254ece3a95fe2e4f7b64bdb03a0","abstract_canon_sha256":"6e663c4b6fc7136e5d38f5d38d2ad3749b0c4b03e38ecde1147037f9b8cdef8f"},"schema_version":"1.0"},"canonical_sha256":"4b9aaacb7ae9b80ec3ba31c0b1c1e6061ba5f8a84a063ef98fb8c5cfd1749372","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:47:35.278639Z","signature_b64":"9gT1McP3a1IK9MOqhZhdCEhwZzxcpVjZaNkXcQe3mP4Y3nIp6LUHsVEsEu4FQ2XcxzF2wpE6U8JO3RccJvK7Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4b9aaacb7ae9b80ec3ba31c0b1c1e6061ba5f8a84a063ef98fb8c5cfd1749372","last_reissued_at":"2026-05-18T01:47:35.278009Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:47:35.278009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.5120","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":"2026-05-18T01:47:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5LoonqtHKfhfy8JUMNbPfJKj4UnCGAPug4c0ur5VoGRmwzPPkbKbzv/iY3S9TN2jA/e/8O7vakR5TzLjVKJCAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T17:55:24.237329Z"},"content_sha256":"e134891a0a0dd0f0c6f5685a5597630ea5232a41658f9a939fbec6ea4e684af8","schema_version":"1.0","event_id":"sha256:e134891a0a0dd0f0c6f5685a5597630ea5232a41658f9a939fbec6ea4e684af8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:JONKVS325G4A5Q52GHALDQPGAY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear fluctuations of weakly asymmetric interacting particle systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Milton Jara, Patricia Gon\\c{c}alves","submitted_at":"2013-09-20T00:08:34Z","abstract_excerpt":"We introduce what we call the second-order Boltzmann-Gibbs principle, which allows to replace local functionals of a conservative, one-dimensional stochastic process by a possibly nonlinear function of the conserved quantity. This replacement opens the way to obtain nonlinear stochastic evolutions as the limit of the fluctuations of the conserved quantity around stationary states. As an application of this second-order Boltzmann-Gibbs principle, we introduce the notion of energy solutions of the KPZ and stochastic Burgers equations. Under minimal assumptions, we prove that the density fluctuat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.5120","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":"2026-05-18T01:47:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ke3Iu9GhyKQ2hb3SjZFwl7i6aK7aPIZ4OtHd116ZwoY7AcCarr9wMvQbB9GkJ61iLoRCNeEEoUUL03Yyvo0xDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T17:55:24.237685Z"},"content_sha256":"254efe511b43f31904077f570dd1737f54fd5a43c3336f3aae079a1d0d374b61","schema_version":"1.0","event_id":"sha256:254efe511b43f31904077f570dd1737f54fd5a43c3336f3aae079a1d0d374b61"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JONKVS325G4A5Q52GHALDQPGAY/bundle.json","state_url":"https://pith.science/pith/JONKVS325G4A5Q52GHALDQPGAY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JONKVS325G4A5Q52GHALDQPGAY/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":"2026-06-05T17:55:24Z","links":{"resolver":"https://pith.science/pith/JONKVS325G4A5Q52GHALDQPGAY","bundle":"https://pith.science/pith/JONKVS325G4A5Q52GHALDQPGAY/bundle.json","state":"https://pith.science/pith/JONKVS325G4A5Q52GHALDQPGAY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JONKVS325G4A5Q52GHALDQPGAY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:JONKVS325G4A5Q52GHALDQPGAY","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":"6e663c4b6fc7136e5d38f5d38d2ad3749b0c4b03e38ecde1147037f9b8cdef8f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-09-20T00:08:34Z","title_canon_sha256":"14dc047e5ddaecc154823de2535de13ca03a8254ece3a95fe2e4f7b64bdb03a0"},"schema_version":"1.0","source":{"id":"1309.5120","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.5120","created_at":"2026-05-18T01:47:35Z"},{"alias_kind":"arxiv_version","alias_value":"1309.5120v1","created_at":"2026-05-18T01:47:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.5120","created_at":"2026-05-18T01:47:35Z"},{"alias_kind":"pith_short_12","alias_value":"JONKVS325G4A","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JONKVS325G4A5Q52","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JONKVS32","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:254efe511b43f31904077f570dd1737f54fd5a43c3336f3aae079a1d0d374b61","target":"graph","created_at":"2026-05-18T01:47:35Z","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 introduce what we call the second-order Boltzmann-Gibbs principle, which allows to replace local functionals of a conservative, one-dimensional stochastic process by a possibly nonlinear function of the conserved quantity. This replacement opens the way to obtain nonlinear stochastic evolutions as the limit of the fluctuations of the conserved quantity around stationary states. As an application of this second-order Boltzmann-Gibbs principle, we introduce the notion of energy solutions of the KPZ and stochastic Burgers equations. Under minimal assumptions, we prove that the density fluctuat","authors_text":"Milton Jara, Patricia Gon\\c{c}alves","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-09-20T00:08:34Z","title":"Nonlinear fluctuations of weakly asymmetric interacting particle systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.5120","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:e134891a0a0dd0f0c6f5685a5597630ea5232a41658f9a939fbec6ea4e684af8","target":"record","created_at":"2026-05-18T01:47:35Z","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":"6e663c4b6fc7136e5d38f5d38d2ad3749b0c4b03e38ecde1147037f9b8cdef8f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-09-20T00:08:34Z","title_canon_sha256":"14dc047e5ddaecc154823de2535de13ca03a8254ece3a95fe2e4f7b64bdb03a0"},"schema_version":"1.0","source":{"id":"1309.5120","kind":"arxiv","version":1}},"canonical_sha256":"4b9aaacb7ae9b80ec3ba31c0b1c1e6061ba5f8a84a063ef98fb8c5cfd1749372","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4b9aaacb7ae9b80ec3ba31c0b1c1e6061ba5f8a84a063ef98fb8c5cfd1749372","first_computed_at":"2026-05-18T01:47:35.278009Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:47:35.278009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9gT1McP3a1IK9MOqhZhdCEhwZzxcpVjZaNkXcQe3mP4Y3nIp6LUHsVEsEu4FQ2XcxzF2wpE6U8JO3RccJvK7Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:47:35.278639Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.5120","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e134891a0a0dd0f0c6f5685a5597630ea5232a41658f9a939fbec6ea4e684af8","sha256:254efe511b43f31904077f570dd1737f54fd5a43c3336f3aae079a1d0d374b61"],"state_sha256":"180e4badad14beb39c96a305483b7c63544210f51a4a25d3c4c638e09139f9c6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/H6HkOtIQmsKZn7h0IG+MSiVo4AMC7jfv3pEsXuczscqRxOUvmlekydHAyINgGk1z/LS5mdVUDQ0+88kbcdECQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T17:55:24.239729Z","bundle_sha256":"5e1868597638bd949ac3672a3c35a5b8fe201c514e3b26d2fbace6e2d7b23983"}}