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The novelty is the treatment of a particle model (with algebraic scaling) where the moderate interaction completely takes place in the diffusive term.","weakest_assumption":"The moderate interaction completely takes place in the diffusive term with algebraic scaling, and the initial data satisfy sufficient regularity assumptions that enable short-time L1 convergence."}},"verdict_id":"9d77e0a0-6190-45b4-9421-a44c39462088"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:3abe0ef050357e360f42eb4e573516cc5d91f0ace3e6815aee323624cfdd9bb8","target":"record","created_at":"2026-05-20T00:01:14Z","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":"82359438a0a7e2993eb13eeea3f324d1612812db3ce9e3ea0a21bcee66443128","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-05-15T08:10:08Z","title_canon_sha256":"f5c960de3a47f16472e1064078a8d1000792b0ae038d50e53bd659f73804ac7e"},"schema_version":"1.0","source":{"id":"2605.15718","kind":"arxiv","version":1}},"canonical_sha256":"42d9f3abd7aaa2d85eb979781a701cbf6d31121815ae7d7b7ba099bf6598a4c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42d9f3abd7aaa2d85eb979781a701cbf6d31121815ae7d7b7ba099bf6598a4c9","first_computed_at":"2026-05-20T00:01:14.461240Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:01:14.461240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o04nWoHA3/ReZUajgzd8v4+ys06l0CMTqclsCvRQC6kCG/ohkVmr6vVCZxYNtP23n19Dsno6uya2m/DxD9KxAA==","signature_status":"signed_v1","signed_at":"2026-05-20T00:01:14.462094Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.15718","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3abe0ef050357e360f42eb4e573516cc5d91f0ace3e6815aee323624cfdd9bb8","sha256:53da0d80edf3483001a650acb80800c9d9eda40a64996c059aed43055f85dd1c"],"state_sha256":"6d1be263b8bacbbf84e972a2c6576deff2dcc95ed9499861b13011e1a7a1d22d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7EHUfFqMhcV1xeGbiHKab8Ugg2Wp9rMllBJs3Y9PeeDhcNp84ERtnyWrPG0Kmxnipe0vK4YaTFq8L3cHTSZAAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T01:53:05.793896Z","bundle_sha256":"0f05028cc51ff3e22460671fb30d3eddad2b48f98f2421cdb644bdbc0b3fe7c6"}}