{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:XXWOYG5ZDVCSL7GPEASIY3HXTU","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":"0bc2db34dead052a21f327ecb4d30e60ac9120d0e2d5ed1d09da57de193da068","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2020-09-29T14:54:13Z","title_canon_sha256":"602abba37dfa005c9555d0919096a9c7135c9c52d068c16ff2866c44efa0c985"},"schema_version":"1.0","source":{"id":"2009.14067","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2009.14067","created_at":"2026-07-05T02:10:26Z"},{"alias_kind":"arxiv_version","alias_value":"2009.14067v3","created_at":"2026-07-05T02:10:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.14067","created_at":"2026-07-05T02:10:26Z"},{"alias_kind":"pith_short_12","alias_value":"XXWOYG5ZDVCS","created_at":"2026-07-05T02:10:26Z"},{"alias_kind":"pith_short_16","alias_value":"XXWOYG5ZDVCSL7GP","created_at":"2026-07-05T02:10:26Z"},{"alias_kind":"pith_short_8","alias_value":"XXWOYG5Z","created_at":"2026-07-05T02:10:26Z"}],"graph_snapshots":[{"event_id":"sha256:80f2c2b43aee153e7f6e40f883b44bdd777535464db62454fe7def86c931e61f","target":"graph","created_at":"2026-07-05T02:10:26Z","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/2009.14067/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Anomalous transport in a circular comb is considered. The circular motion takes place for a fixed radius, while radii are continuously distributed along the circle. Two scenarios of the anomalous transport, related to the reflecting and periodic angular boundary conditions, are studied. The first scenario with the reflection boundary conditions for the circular diffusion corresponds to the conformal mapping of a 2D comb Fokker-Planck equation on the circular comb. This topologically constraint motion is named umbrella comb model. In this case, the reflecting boundary conditions are imposed on ","authors_text":"A. Iomin","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2020-09-29T14:54:13Z","title":"Anomalous diffusion in umbrella comb"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.14067","kind":"arxiv","version":3},"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":"sha256:28a7f69da4a0257803ec2dc44209acf25bed7eb23d2178c89dd0bef54c040232","target":"record","created_at":"2026-07-05T02:10:26Z","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":"0bc2db34dead052a21f327ecb4d30e60ac9120d0e2d5ed1d09da57de193da068","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2020-09-29T14:54:13Z","title_canon_sha256":"602abba37dfa005c9555d0919096a9c7135c9c52d068c16ff2866c44efa0c985"},"schema_version":"1.0","source":{"id":"2009.14067","kind":"arxiv","version":3}},"canonical_sha256":"bdecec1bb91d4525fccf20248c6cf79d32af376a971ab963b499e338d56e905c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bdecec1bb91d4525fccf20248c6cf79d32af376a971ab963b499e338d56e905c","first_computed_at":"2026-07-05T02:10:26.715456Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:10:26.715456Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8oOCcyww8XrzY1ZHa/Y3ZVf+k3QA9cj2JUWGU1g5chjb/KpDv/NKR277yqIixOnQYYyO4DQFBcJJVanEQGPJBg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:10:26.715851Z","signed_message":"canonical_sha256_bytes"},"source_id":"2009.14067","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28a7f69da4a0257803ec2dc44209acf25bed7eb23d2178c89dd0bef54c040232","sha256:80f2c2b43aee153e7f6e40f883b44bdd777535464db62454fe7def86c931e61f"],"state_sha256":"3319366236aafdb932d2a68967babc276e58ea57d42f00cad449dc2c90a853b3"}