{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:KS3LYKQT2FMSTLR3YD4CPR4JTM","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":"0102acd281f670059e640bc3188e4aad4a59e137643fc3e5e23fd9e436bf5a99","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-03-18T22:28:16Z","title_canon_sha256":"5d6390749968da791b884790567cc346c63867302516b754f0daf3fca00bcdd7"},"schema_version":"1.0","source":{"id":"1103.3722","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.3722","created_at":"2026-05-18T03:32:17Z"},{"alias_kind":"arxiv_version","alias_value":"1103.3722v4","created_at":"2026-05-18T03:32:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.3722","created_at":"2026-05-18T03:32:17Z"},{"alias_kind":"pith_short_12","alias_value":"KS3LYKQT2FMS","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"KS3LYKQT2FMSTLR3","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"KS3LYKQT","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:a88f45a00a0adcc2afb1805e7f6abc8288546ece2f2e0c8f4e15f45741178da5","target":"graph","created_at":"2026-05-18T03:32:17Z","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":"Using the renormalization method introduced in \\cite{GJ}, we prove what we call the {\\em local} Boltzmann-Gibbs principle for conservative, stationary interacting particle systems in dimension $d=1$. As applications of this result, we obtain various scaling limits of additive functionals of particle systems, like the occupation time of a given site or extensive additive fields of the dynamics. As a by-product of these results, we also construct a novel process, related to the stationary solution of the stochastic Burgers equation.","authors_text":"Milton Jara, Patricia Gon\\c{c}alves","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-03-18T22:28:16Z","title":"Scaling limits of additive functionals of interacting particle systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.3722","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":"sha256:36209f168371725a07f417eaa0ba9106261dd0055b51161241fe3d37dc71ae0d","target":"record","created_at":"2026-05-18T03:32:17Z","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":"0102acd281f670059e640bc3188e4aad4a59e137643fc3e5e23fd9e436bf5a99","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-03-18T22:28:16Z","title_canon_sha256":"5d6390749968da791b884790567cc346c63867302516b754f0daf3fca00bcdd7"},"schema_version":"1.0","source":{"id":"1103.3722","kind":"arxiv","version":4}},"canonical_sha256":"54b6bc2a13d15929ae3bc0f827c7899b1c7520b7da8fe237f5b7f5d5df8551af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"54b6bc2a13d15929ae3bc0f827c7899b1c7520b7da8fe237f5b7f5d5df8551af","first_computed_at":"2026-05-18T03:32:17.266412Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:32:17.266412Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Yse8sQSKWW4ctAD+M6KjMs4ihYdzBPoYltDrJkbX6k8H1ubRAVyYiTFHvyeGwCnzTewUfvDdfQMKi+P9x4uRCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:32:17.267426Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.3722","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36209f168371725a07f417eaa0ba9106261dd0055b51161241fe3d37dc71ae0d","sha256:a88f45a00a0adcc2afb1805e7f6abc8288546ece2f2e0c8f4e15f45741178da5"],"state_sha256":"2d6ee4d3081d2ca1a6e676e988e169b89b9377ba53e6f188d7133c8facd71039"}