{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:KHI7YVW2BW5N7PTVEYG5AMHWSI","short_pith_number":"pith:KHI7YVW2","canonical_record":{"source":{"id":"cond-mat/0210166","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2002-10-08T15:34:38Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"6fb4c75b4a2c07b9ef6b43c874f160c510d86802cdaec9842207f932548970d1","abstract_canon_sha256":"63ed57f91a0fe2eecb8fb45182c7a71a6bbd2034018555d2bbd260f20f4de143"},"schema_version":"1.0"},"canonical_sha256":"51d1fc56da0dbadfbe75260dd030f69208658a7a3bdd677be1d0a96b9e0bd56e","source":{"kind":"arxiv","id":"cond-mat/0210166","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0210166","created_at":"2026-05-18T00:57:19Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0210166v2","created_at":"2026-05-18T00:57:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0210166","created_at":"2026-05-18T00:57:19Z"},{"alias_kind":"pith_short_12","alias_value":"KHI7YVW2BW5N","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"KHI7YVW2BW5N7PTV","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"KHI7YVW2","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:KHI7YVW2BW5N7PTVEYG5AMHWSI","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0210166","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2002-10-08T15:34:38Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"6fb4c75b4a2c07b9ef6b43c874f160c510d86802cdaec9842207f932548970d1","abstract_canon_sha256":"63ed57f91a0fe2eecb8fb45182c7a71a6bbd2034018555d2bbd260f20f4de143"},"schema_version":"1.0"},"canonical_sha256":"51d1fc56da0dbadfbe75260dd030f69208658a7a3bdd677be1d0a96b9e0bd56e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:19.764529Z","signature_b64":"ZGhS0FsyN3DW0s/JXbODmUlpjO+FsuS5shcV6euJbU7YNP/50QF4fElXw5ltM5JMEyFCYgcG0aZ7XTmcby5ZCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51d1fc56da0dbadfbe75260dd030f69208658a7a3bdd677be1d0a96b9e0bd56e","last_reissued_at":"2026-05-18T00:57:19.763973Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:19.763973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0210166","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":"2026-05-18T00:57:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Aj2l1Cho57N/OlYjTKIISnwV4TyFcKMvr3Qw4OQMYuFJH4PkqLbiq8bsjbBJE7TJezET0pxptQyYmXcpxbUoBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T17:25:56.215994Z"},"content_sha256":"faaac0434c8eb5f2abb644db58baff7833e86d67bb102c4ece78ee0f5061b241","schema_version":"1.0","event_id":"sha256:faaac0434c8eb5f2abb644db58baff7833e86d67bb102c4ece78ee0f5061b241"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:KHI7YVW2BW5N7PTVEYG5AMHWSI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Revisiting the derivation of the fractional diffusion equation","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Enrico Scalas, Francesco Mainardi, Marco Raberto, Rudolf Gorenflo","submitted_at":"2002-10-08T15:34:38Z","abstract_excerpt":"The fractional diffusion equation is derived from the master equation of continuous-time random walks (CTRWs) via a straightforward application of the Gnedenko-Kolmogorov limit theorem. The Cauchy problem for the fractional diffusion equation is solved in various important and general cases. The meaning of the proper diffusion limit for CTRWs is discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0210166","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":""},"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":"2026-05-18T00:57:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i1J8VRXOHCS0heTq8uatHdKQtsOlhtd2MB7P26P0mgFIHSsgvJVdEheJ5UjJ6YceXU31zG0p/gg2MSuxXiqAAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T17:25:56.216548Z"},"content_sha256":"a97d5d2812f75bea99dd9ad404ec9882396edb06265b2a784ad12d1aa6afdcc2","schema_version":"1.0","event_id":"sha256:a97d5d2812f75bea99dd9ad404ec9882396edb06265b2a784ad12d1aa6afdcc2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KHI7YVW2BW5N7PTVEYG5AMHWSI/bundle.json","state_url":"https://pith.science/pith/KHI7YVW2BW5N7PTVEYG5AMHWSI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KHI7YVW2BW5N7PTVEYG5AMHWSI/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":"2026-06-04T17:25:56Z","links":{"resolver":"https://pith.science/pith/KHI7YVW2BW5N7PTVEYG5AMHWSI","bundle":"https://pith.science/pith/KHI7YVW2BW5N7PTVEYG5AMHWSI/bundle.json","state":"https://pith.science/pith/KHI7YVW2BW5N7PTVEYG5AMHWSI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KHI7YVW2BW5N7PTVEYG5AMHWSI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:KHI7YVW2BW5N7PTVEYG5AMHWSI","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":"63ed57f91a0fe2eecb8fb45182c7a71a6bbd2034018555d2bbd260f20f4de143","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2002-10-08T15:34:38Z","title_canon_sha256":"6fb4c75b4a2c07b9ef6b43c874f160c510d86802cdaec9842207f932548970d1"},"schema_version":"1.0","source":{"id":"cond-mat/0210166","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0210166","created_at":"2026-05-18T00:57:19Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0210166v2","created_at":"2026-05-18T00:57:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0210166","created_at":"2026-05-18T00:57:19Z"},{"alias_kind":"pith_short_12","alias_value":"KHI7YVW2BW5N","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"KHI7YVW2BW5N7PTV","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"KHI7YVW2","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:a97d5d2812f75bea99dd9ad404ec9882396edb06265b2a784ad12d1aa6afdcc2","target":"graph","created_at":"2026-05-18T00:57:19Z","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 fractional diffusion equation is derived from the master equation of continuous-time random walks (CTRWs) via a straightforward application of the Gnedenko-Kolmogorov limit theorem. The Cauchy problem for the fractional diffusion equation is solved in various important and general cases. The meaning of the proper diffusion limit for CTRWs is discussed.","authors_text":"Enrico Scalas, Francesco Mainardi, Marco Raberto, Rudolf Gorenflo","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2002-10-08T15:34:38Z","title":"Revisiting the derivation of the fractional diffusion equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0210166","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:faaac0434c8eb5f2abb644db58baff7833e86d67bb102c4ece78ee0f5061b241","target":"record","created_at":"2026-05-18T00:57:19Z","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":"63ed57f91a0fe2eecb8fb45182c7a71a6bbd2034018555d2bbd260f20f4de143","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2002-10-08T15:34:38Z","title_canon_sha256":"6fb4c75b4a2c07b9ef6b43c874f160c510d86802cdaec9842207f932548970d1"},"schema_version":"1.0","source":{"id":"cond-mat/0210166","kind":"arxiv","version":2}},"canonical_sha256":"51d1fc56da0dbadfbe75260dd030f69208658a7a3bdd677be1d0a96b9e0bd56e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51d1fc56da0dbadfbe75260dd030f69208658a7a3bdd677be1d0a96b9e0bd56e","first_computed_at":"2026-05-18T00:57:19.763973Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:19.763973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZGhS0FsyN3DW0s/JXbODmUlpjO+FsuS5shcV6euJbU7YNP/50QF4fElXw5ltM5JMEyFCYgcG0aZ7XTmcby5ZCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:19.764529Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0210166","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:faaac0434c8eb5f2abb644db58baff7833e86d67bb102c4ece78ee0f5061b241","sha256:a97d5d2812f75bea99dd9ad404ec9882396edb06265b2a784ad12d1aa6afdcc2"],"state_sha256":"cebd93e06498b587f3148e88762df16fa4dc4e9943c11d50550ce879215ea33c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EyF/xv/Wnx0bjQqBYf02sqLMzjo3TatBsUCDfZUN5GiwjALX5WpFc/7V78hXUPmhMV7HDqUpqOs5pB+6k1knCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T17:25:56.219146Z","bundle_sha256":"d4103d58ce080bbaf02174b37b32717a85096ed6d6ff2d8250f89643687d32cd"}}