{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:JVUTYSCLC7MI3WP45QBIDA5TWG","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":"4389ac4a2a8d8d77201acd840fa54b18035f86f5d3ba34530b53a0decfdfeda7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-06-11T15:04:56Z","title_canon_sha256":"1361dd0024e0b1b106f7d947329a88f4814f4ddfda25b44d83d8ab79395ac7b6"},"schema_version":"1.0","source":{"id":"2606.13442","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.13442","created_at":"2026-06-12T01:10:02Z"},{"alias_kind":"arxiv_version","alias_value":"2606.13442v1","created_at":"2026-06-12T01:10:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.13442","created_at":"2026-06-12T01:10:02Z"},{"alias_kind":"pith_short_12","alias_value":"JVUTYSCLC7MI","created_at":"2026-06-12T01:10:02Z"},{"alias_kind":"pith_short_16","alias_value":"JVUTYSCLC7MI3WP4","created_at":"2026-06-12T01:10:02Z"},{"alias_kind":"pith_short_8","alias_value":"JVUTYSCL","created_at":"2026-06-12T01:10:02Z"}],"graph_snapshots":[{"event_id":"sha256:131addff2d3640e30997161ba86aba6e74e6f7a47047dcda8216357fc675e842","target":"graph","created_at":"2026-06-12T01:10:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.13442/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For the reversible speed-change exclusion process $(\\eta_t)_{t \\geq 0}$ in $\\mathbb{Z}^d$, we study the scaling limit of additive functionals ${\\Gamma_t(f) = \\int_0^t f(\\eta_s)\\, \\mathrm{d} s}$. Concerning the local centered function $f$, the previous work [Commun. Math. Phys. 104, 1-19, 1986] by Kipnis and Varadhan and [Comm. Pure Appl. Math., 66: 649-677, 2013] by Gon{\\c{c}}alves and Jara respectively covered the cases $d \\geq 3$ and $d=1$. The present paper completes the missing part $d=2$, and also develops the theory for functions with higher degree. The novelty is a quantitative homogeni","authors_text":"Chenlin Gu, Linjie Zhao, Linzhi Yang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-06-11T15:04:56Z","title":"Scaling limit of additive functionals for reversible non-gradient exclusion process: critical cases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.13442","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":"sha256:4a954ab87b49227d9920cd78714b92aecd25cb7d52ff1a3c858e53f9bc12a48a","target":"record","created_at":"2026-06-12T01:10:02Z","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":"4389ac4a2a8d8d77201acd840fa54b18035f86f5d3ba34530b53a0decfdfeda7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-06-11T15:04:56Z","title_canon_sha256":"1361dd0024e0b1b106f7d947329a88f4814f4ddfda25b44d83d8ab79395ac7b6"},"schema_version":"1.0","source":{"id":"2606.13442","kind":"arxiv","version":1}},"canonical_sha256":"4d693c484b17d88dd9fcec028183b3b199ce46f45202e0202cd102e63c66f4d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d693c484b17d88dd9fcec028183b3b199ce46f45202e0202cd102e63c66f4d8","first_computed_at":"2026-06-12T01:10:02.741338Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-12T01:10:02.741338Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b8z6Hj4qSUuEqEtD2E+4k8JIDqvIl3YwenmtxVqgXv1Q6jQ+w/PYob0TqBz9J+M2JIZSJlXjO5mDKkSh41UJDg==","signature_status":"signed_v1","signed_at":"2026-06-12T01:10:02.742134Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.13442","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a954ab87b49227d9920cd78714b92aecd25cb7d52ff1a3c858e53f9bc12a48a","sha256:131addff2d3640e30997161ba86aba6e74e6f7a47047dcda8216357fc675e842"],"state_sha256":"c6d19eb076ec13765d0ffd90e4c9712a748f7d815142bf321a06362e6732baf6"}