{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:JG5EQVPYAYRIBUVGRF4IGRM4PX","short_pith_number":"pith:JG5EQVPY","canonical_record":{"source":{"id":"2410.10077","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-10-14T01:44:40Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"343c66a12bccbe048cb987982c53f616b88e4397f1b2ccff857115646c1f67ed","abstract_canon_sha256":"944eac9891d6cb367c1dd2ee9c5e9a1e2ef06efdc5d5bdf563e2fe922bdd3f81"},"schema_version":"1.0"},"canonical_sha256":"49ba4855f8062280d2a6897883459c7dce8e8e7eab9e6b980d45e7e85a918ad5","source":{"kind":"arxiv","id":"2410.10077","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.10077","created_at":"2026-06-01T01:02:13Z"},{"alias_kind":"arxiv_version","alias_value":"2410.10077v2","created_at":"2026-06-01T01:02:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.10077","created_at":"2026-06-01T01:02:13Z"},{"alias_kind":"pith_short_12","alias_value":"JG5EQVPYAYRI","created_at":"2026-06-01T01:02:13Z"},{"alias_kind":"pith_short_16","alias_value":"JG5EQVPYAYRIBUVG","created_at":"2026-06-01T01:02:13Z"},{"alias_kind":"pith_short_8","alias_value":"JG5EQVPY","created_at":"2026-06-01T01:02:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:JG5EQVPYAYRIBUVGRF4IGRM4PX","target":"record","payload":{"canonical_record":{"source":{"id":"2410.10077","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-10-14T01:44:40Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"343c66a12bccbe048cb987982c53f616b88e4397f1b2ccff857115646c1f67ed","abstract_canon_sha256":"944eac9891d6cb367c1dd2ee9c5e9a1e2ef06efdc5d5bdf563e2fe922bdd3f81"},"schema_version":"1.0"},"canonical_sha256":"49ba4855f8062280d2a6897883459c7dce8e8e7eab9e6b980d45e7e85a918ad5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-01T01:02:13.250468Z","signature_b64":"39Vh5lCbEd42S+yKmuO8edLPwn5QoUcjQJ0BA3AbK73vmWpGtS4STh90VbUg63C4xUsVuf2CpxmujGWF1gOuCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"49ba4855f8062280d2a6897883459c7dce8e8e7eab9e6b980d45e7e85a918ad5","last_reissued_at":"2026-06-01T01:02:13.249425Z","signature_status":"signed_v1","first_computed_at":"2026-06-01T01:02:13.249425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.10077","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-01T01:02:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7mpcs2RvIcYWPPCPc5JZ+ejTusPMkmipLSoaFH3lBrHzXel4l3Hs1xjIa9fhh3VUqC+GxbXz3GGvNvcu0/x8Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T04:42:36.250069Z"},"content_sha256":"db4c95dcb8fff6e285940d514eb008329b7129349af824ac51557fa80700e898","schema_version":"1.0","event_id":"sha256:db4c95dcb8fff6e285940d514eb008329b7129349af824ac51557fa80700e898"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:JG5EQVPYAYRIBUVGRF4IGRM4PX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A compounded random walk for space-fractional diffusion on finite domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"cond-mat.stat-mech","authors_text":"Boris Z. Huang, Bruce I. Henry, Christopher N. Angstmann, Daniel S. Han, Zhuang Xu","submitted_at":"2024-10-14T01:44:40Z","abstract_excerpt":"We formulate a compounded random walk that is physically well defined on both finite and infinite domains, and samples space-dependent forces throughout jumps. The governing evolution equation for the walk limits to a space-fractional Fokker-Planck equation valid on bounded domains, and recovers the well known superdiffusive space-fractional diffusion equation on infinite domains. We describe methods for numerical approximation and Monte Carlo simulations and demonstrate excellent correspondence with analytical solutions. This compounded random walk, and its associated fractional Fokker-Planck"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.10077","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2410.10077/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-01T01:02:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1M/FcPbD+/HVBYzKb92RIDQj6j4qL46A/yLrq+ISDRCnMJIZOyw6XkwNr1StDDcnRABLoWHa6P0eXXdeokFBBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T04:42:36.250466Z"},"content_sha256":"c6fc613983434fcdee9959909b3c513aa9a581e3cf696b0ca89e2892b8a0fef7","schema_version":"1.0","event_id":"sha256:c6fc613983434fcdee9959909b3c513aa9a581e3cf696b0ca89e2892b8a0fef7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JG5EQVPYAYRIBUVGRF4IGRM4PX/bundle.json","state_url":"https://pith.science/pith/JG5EQVPYAYRIBUVGRF4IGRM4PX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JG5EQVPYAYRIBUVGRF4IGRM4PX/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-03T04:42:36Z","links":{"resolver":"https://pith.science/pith/JG5EQVPYAYRIBUVGRF4IGRM4PX","bundle":"https://pith.science/pith/JG5EQVPYAYRIBUVGRF4IGRM4PX/bundle.json","state":"https://pith.science/pith/JG5EQVPYAYRIBUVGRF4IGRM4PX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JG5EQVPYAYRIBUVGRF4IGRM4PX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:JG5EQVPYAYRIBUVGRF4IGRM4PX","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":"944eac9891d6cb367c1dd2ee9c5e9a1e2ef06efdc5d5bdf563e2fe922bdd3f81","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-10-14T01:44:40Z","title_canon_sha256":"343c66a12bccbe048cb987982c53f616b88e4397f1b2ccff857115646c1f67ed"},"schema_version":"1.0","source":{"id":"2410.10077","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.10077","created_at":"2026-06-01T01:02:13Z"},{"alias_kind":"arxiv_version","alias_value":"2410.10077v2","created_at":"2026-06-01T01:02:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.10077","created_at":"2026-06-01T01:02:13Z"},{"alias_kind":"pith_short_12","alias_value":"JG5EQVPYAYRI","created_at":"2026-06-01T01:02:13Z"},{"alias_kind":"pith_short_16","alias_value":"JG5EQVPYAYRIBUVG","created_at":"2026-06-01T01:02:13Z"},{"alias_kind":"pith_short_8","alias_value":"JG5EQVPY","created_at":"2026-06-01T01:02:13Z"}],"graph_snapshots":[{"event_id":"sha256:c6fc613983434fcdee9959909b3c513aa9a581e3cf696b0ca89e2892b8a0fef7","target":"graph","created_at":"2026-06-01T01:02:13Z","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/2410.10077/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We formulate a compounded random walk that is physically well defined on both finite and infinite domains, and samples space-dependent forces throughout jumps. The governing evolution equation for the walk limits to a space-fractional Fokker-Planck equation valid on bounded domains, and recovers the well known superdiffusive space-fractional diffusion equation on infinite domains. We describe methods for numerical approximation and Monte Carlo simulations and demonstrate excellent correspondence with analytical solutions. This compounded random walk, and its associated fractional Fokker-Planck","authors_text":"Boris Z. Huang, Bruce I. Henry, Christopher N. Angstmann, Daniel S. Han, Zhuang Xu","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-10-14T01:44:40Z","title":"A compounded random walk for space-fractional diffusion on finite domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.10077","kind":"arxiv","version":2},"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:db4c95dcb8fff6e285940d514eb008329b7129349af824ac51557fa80700e898","target":"record","created_at":"2026-06-01T01:02:13Z","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":"944eac9891d6cb367c1dd2ee9c5e9a1e2ef06efdc5d5bdf563e2fe922bdd3f81","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-10-14T01:44:40Z","title_canon_sha256":"343c66a12bccbe048cb987982c53f616b88e4397f1b2ccff857115646c1f67ed"},"schema_version":"1.0","source":{"id":"2410.10077","kind":"arxiv","version":2}},"canonical_sha256":"49ba4855f8062280d2a6897883459c7dce8e8e7eab9e6b980d45e7e85a918ad5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"49ba4855f8062280d2a6897883459c7dce8e8e7eab9e6b980d45e7e85a918ad5","first_computed_at":"2026-06-01T01:02:13.249425Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-01T01:02:13.249425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"39Vh5lCbEd42S+yKmuO8edLPwn5QoUcjQJ0BA3AbK73vmWpGtS4STh90VbUg63C4xUsVuf2CpxmujGWF1gOuCQ==","signature_status":"signed_v1","signed_at":"2026-06-01T01:02:13.250468Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.10077","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db4c95dcb8fff6e285940d514eb008329b7129349af824ac51557fa80700e898","sha256:c6fc613983434fcdee9959909b3c513aa9a581e3cf696b0ca89e2892b8a0fef7"],"state_sha256":"e99cb896b25cb8ab706949d20c9452422afd9d01b8798a0463f77ead5f444a34"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5tZjyp0Hj4+WSGA9k6HgYcV3Q/nPn64iAJ0FraCEHW3M0oIYU347Hp4PzZJDsRf4sWuL1uqESC3USmndJVbPAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T04:42:36.252530Z","bundle_sha256":"5b74186063e21b9430509583b0543181ccf19462ab2b2cffd9d3ce5db4562e59"}}