{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:SAVDDR7FZKOGBH34ELDJYQN4KR","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":"3b2f05014de11f587eb848d4d77edbb93b0c548d3eea462c651f50b98183c916","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-03-24T20:07:28Z","title_canon_sha256":"81d79d6aabaf97e4389dccf2ed19911f0713d6eeffc2aae05558e8a32caf1fd7"},"schema_version":"1.0","source":{"id":"1003.4742","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.4742","created_at":"2026-05-18T02:08:23Z"},{"alias_kind":"arxiv_version","alias_value":"1003.4742v1","created_at":"2026-05-18T02:08:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.4742","created_at":"2026-05-18T02:08:23Z"},{"alias_kind":"pith_short_12","alias_value":"SAVDDR7FZKOG","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SAVDDR7FZKOGBH34","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SAVDDR7F","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:61bbd95b4d9713b672727c6b22cabd061844c682a33f35873249e6ad85aa1031","target":"graph","created_at":"2026-05-18T02:08:23Z","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":"The problem of anomalous diffusion in momentum (velocity) space is considered based on the master equation and the appropriate probability transition function (PTF). The approach recently developed by the author for coordinate space, is applied with necessary modifications to velocity space. A new general equation for the time evolution of the momentum distribution function in momentum space is derived. This allows the solution of various problems of anomalous transport when the probability transition function (PTF) has a long tail in momentum space. For the opposite cases of the PTF rapidly d","authors_text":"S.A. Trigger","cross_cats":["physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-03-24T20:07:28Z","title":"Anomalous Transport in Velocity Space, from Fokker-Planck to General Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.4742","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":"sha256:037b43257affaa2783e33d4668c4a5b7f8b5e8d4a2ae539eb3a6c766436dadf4","target":"record","created_at":"2026-05-18T02:08:23Z","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":"3b2f05014de11f587eb848d4d77edbb93b0c548d3eea462c651f50b98183c916","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-03-24T20:07:28Z","title_canon_sha256":"81d79d6aabaf97e4389dccf2ed19911f0713d6eeffc2aae05558e8a32caf1fd7"},"schema_version":"1.0","source":{"id":"1003.4742","kind":"arxiv","version":1}},"canonical_sha256":"902a31c7e5ca9c609f7c22c69c41bc5466891a9010135b60bc874b774fe4b4bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"902a31c7e5ca9c609f7c22c69c41bc5466891a9010135b60bc874b774fe4b4bc","first_computed_at":"2026-05-18T02:08:23.374532Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:08:23.374532Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EIqL/VFAJLLcSzsYmDr5yg42+HOrpHD7bRM9iSzbL/DfUnn6SL8d3I12Sprtx00kfX3zMcTpBbN0KQ8oIi5pCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:08:23.375310Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.4742","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:037b43257affaa2783e33d4668c4a5b7f8b5e8d4a2ae539eb3a6c766436dadf4","sha256:61bbd95b4d9713b672727c6b22cabd061844c682a33f35873249e6ad85aa1031"],"state_sha256":"26022c74a6e7d5c1c2f4104e10a76e80868f8b247589ab32b080b83d4ca62213"}