{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:5K4Y5MGDZ7A22KBL3UEY55HK65","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":"5143ca35247081bc0326362e640f1f19813e64e9f0f85739c687ca1b5c98362d","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-05-28T07:02:03Z","title_canon_sha256":"1fb93c93778e039ccb48871bb3d67cefbd4415cf4f2202f6490cf726f19466d2"},"schema_version":"1.0","source":{"id":"2605.29469","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.29469","created_at":"2026-05-29T01:05:41Z"},{"alias_kind":"arxiv_version","alias_value":"2605.29469v1","created_at":"2026-05-29T01:05:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.29469","created_at":"2026-05-29T01:05:41Z"},{"alias_kind":"pith_short_12","alias_value":"5K4Y5MGDZ7A2","created_at":"2026-05-29T01:05:41Z"},{"alias_kind":"pith_short_16","alias_value":"5K4Y5MGDZ7A22KBL","created_at":"2026-05-29T01:05:41Z"},{"alias_kind":"pith_short_8","alias_value":"5K4Y5MGD","created_at":"2026-05-29T01:05:41Z"}],"graph_snapshots":[{"event_id":"sha256:9e805877bedba66d9af1306c61ff322780677d22bae663172dad4eba20fb90a2","target":"graph","created_at":"2026-05-29T01:05:41Z","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/2605.29469/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper investigates fractional Riesz-Bessel equations with random initial conditions that exhibit either classical or cyclic long-range dependence. It studies zoom-in asymptotics for the corresponding solutions and establishes multiscaling limit theorems. It is known that for similar problems, non-degenerate multiscaling limits may not exist in general. The paper develops a kernel-smoothing approach for these equations and obtains non-degenerate limit fields under suitable normalisation and rescaling. It proves that the kernel-smoothed solutions converge weakly to Gaussian random fields, w","authors_text":"Andriy Olenko, Shahid Khan","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-05-28T07:02:03Z","title":"Multiscale Asymptotic Analysis of Kernel-Smoothed Solutions to Fractional Riesz-Bessel Equations with Random Initial Conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.29469","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:e0638e37ae571effd710c90e5fca11aeab481d7b307ff5bbb4caa8c5a6555504","target":"record","created_at":"2026-05-29T01:05:41Z","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":"5143ca35247081bc0326362e640f1f19813e64e9f0f85739c687ca1b5c98362d","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-05-28T07:02:03Z","title_canon_sha256":"1fb93c93778e039ccb48871bb3d67cefbd4415cf4f2202f6490cf726f19466d2"},"schema_version":"1.0","source":{"id":"2605.29469","kind":"arxiv","version":1}},"canonical_sha256":"eab98eb0c3cfc1ad282bdd098ef4eaf77cebc5594d197d688983c799fdc5e2f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eab98eb0c3cfc1ad282bdd098ef4eaf77cebc5594d197d688983c799fdc5e2f3","first_computed_at":"2026-05-29T01:05:41.205884Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-29T01:05:41.205884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8i6phxeNKvdGd3NKK1XBHRVY2658UzchhpXdfLPAV+s3UGZiuj7xnZDO6wOxfQCD+nnGZqAoWhYW41NeOdDZDw==","signature_status":"signed_v1","signed_at":"2026-05-29T01:05:41.206610Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.29469","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0638e37ae571effd710c90e5fca11aeab481d7b307ff5bbb4caa8c5a6555504","sha256:9e805877bedba66d9af1306c61ff322780677d22bae663172dad4eba20fb90a2"],"state_sha256":"0e50fbc8132393abcb3df13ea8d5761ac92b3ca48de54d48d34941a2472a222b"}