{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:FSGK4GYTGF7ZJLS3MTCSMR5YJW","short_pith_number":"pith:FSGK4GYT","canonical_record":{"source":{"id":"1708.07086","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-08-23T16:34:12Z","cross_cats_sorted":[],"title_canon_sha256":"350af83bd64b042ccd7cc4c2b94b39c35a0849704455f2619aa41121ad1d9cff","abstract_canon_sha256":"3dd6a38535cbb7ffe7f3d4e092a5b5e6ed789083c087c979b44263254aafd0ec"},"schema_version":"1.0"},"canonical_sha256":"2c8cae1b13317f94ae5b64c52647b84d930fa604cf952c8ecef5b250b5abf7e7","source":{"kind":"arxiv","id":"1708.07086","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.07086","created_at":"2026-05-18T00:36:48Z"},{"alias_kind":"arxiv_version","alias_value":"1708.07086v1","created_at":"2026-05-18T00:36:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.07086","created_at":"2026-05-18T00:36:48Z"},{"alias_kind":"pith_short_12","alias_value":"FSGK4GYTGF7Z","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FSGK4GYTGF7ZJLS3","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FSGK4GYT","created_at":"2026-05-18T12:31:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:FSGK4GYTGF7ZJLS3MTCSMR5YJW","target":"record","payload":{"canonical_record":{"source":{"id":"1708.07086","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-08-23T16:34:12Z","cross_cats_sorted":[],"title_canon_sha256":"350af83bd64b042ccd7cc4c2b94b39c35a0849704455f2619aa41121ad1d9cff","abstract_canon_sha256":"3dd6a38535cbb7ffe7f3d4e092a5b5e6ed789083c087c979b44263254aafd0ec"},"schema_version":"1.0"},"canonical_sha256":"2c8cae1b13317f94ae5b64c52647b84d930fa604cf952c8ecef5b250b5abf7e7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:48.439677Z","signature_b64":"q/vdj9QiVY+84tWVBncm4vwOgxALsB4Mh0rN3r6kT9jEMd9i0S7K2ZDv4FOOvo+FJLEKsTvkHgBa68PLExK3Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c8cae1b13317f94ae5b64c52647b84d930fa604cf952c8ecef5b250b5abf7e7","last_reissued_at":"2026-05-18T00:36:48.439073Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:48.439073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.07086","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:36:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L8Mirrbqn4FFdyGtddL9aeYnO/MJgL8a947XPk0rFQ1LJ/ZXy2yKlYvHuKQMXCPfZZlkxfvqBr2sZ4x51wvfBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T17:53:18.344686Z"},"content_sha256":"c3fba6a84a448e18546e0f49b494092e83e4b7a02a03803678d9aa45e8565f63","schema_version":"1.0","event_id":"sha256:c3fba6a84a448e18546e0f49b494092e83e4b7a02a03803678d9aa45e8565f63"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:FSGK4GYTGF7ZJLS3MTCSMR5YJW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Correlated continuous time random walks and fractional Pearson diffusions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Alla Sikorskii, Ivan Papi\\'c, Nenad \\v{S}uvak, Nikolai N. Leonenko","submitted_at":"2017-08-23T16:34:12Z","abstract_excerpt":"Continuous time random walks have random waiting times between particle jumps. We define the correlated continuous time random walks (CTRWs) that converge to fractional Pearson diffusions (fPDs). The jumps in these CTRWs are obtained from Markov chains through the Bernoulli urn-scheme model and Wright-Fisher model. The jumps are correlated so that the limiting processes are not L\\'evy but diffusion processes with non-independent increments. The waiting times are selected from the domain of attraction of a stable law"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.07086","kind":"arxiv","version":1},"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":"2026-05-18T00:36:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kKI8zcvq270QwKzw8oJ/bIg91fZr7Z8sWG9M4XHvs2WvwJkLzx4wJS7ccXEDuWSE62M9MmlcSyUse5RsUaLbCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T17:53:18.345021Z"},"content_sha256":"11b54c8e14dba3703cdc4f225b088d2ba82b36ae384aa2e7af1cb7aca78acbf7","schema_version":"1.0","event_id":"sha256:11b54c8e14dba3703cdc4f225b088d2ba82b36ae384aa2e7af1cb7aca78acbf7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FSGK4GYTGF7ZJLS3MTCSMR5YJW/bundle.json","state_url":"https://pith.science/pith/FSGK4GYTGF7ZJLS3MTCSMR5YJW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FSGK4GYTGF7ZJLS3MTCSMR5YJW/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":"2026-06-27T17:53:18Z","links":{"resolver":"https://pith.science/pith/FSGK4GYTGF7ZJLS3MTCSMR5YJW","bundle":"https://pith.science/pith/FSGK4GYTGF7ZJLS3MTCSMR5YJW/bundle.json","state":"https://pith.science/pith/FSGK4GYTGF7ZJLS3MTCSMR5YJW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FSGK4GYTGF7ZJLS3MTCSMR5YJW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:FSGK4GYTGF7ZJLS3MTCSMR5YJW","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":"3dd6a38535cbb7ffe7f3d4e092a5b5e6ed789083c087c979b44263254aafd0ec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-08-23T16:34:12Z","title_canon_sha256":"350af83bd64b042ccd7cc4c2b94b39c35a0849704455f2619aa41121ad1d9cff"},"schema_version":"1.0","source":{"id":"1708.07086","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.07086","created_at":"2026-05-18T00:36:48Z"},{"alias_kind":"arxiv_version","alias_value":"1708.07086v1","created_at":"2026-05-18T00:36:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.07086","created_at":"2026-05-18T00:36:48Z"},{"alias_kind":"pith_short_12","alias_value":"FSGK4GYTGF7Z","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FSGK4GYTGF7ZJLS3","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FSGK4GYT","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:11b54c8e14dba3703cdc4f225b088d2ba82b36ae384aa2e7af1cb7aca78acbf7","target":"graph","created_at":"2026-05-18T00:36:48Z","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":"Continuous time random walks have random waiting times between particle jumps. We define the correlated continuous time random walks (CTRWs) that converge to fractional Pearson diffusions (fPDs). The jumps in these CTRWs are obtained from Markov chains through the Bernoulli urn-scheme model and Wright-Fisher model. The jumps are correlated so that the limiting processes are not L\\'evy but diffusion processes with non-independent increments. The waiting times are selected from the domain of attraction of a stable law","authors_text":"Alla Sikorskii, Ivan Papi\\'c, Nenad \\v{S}uvak, Nikolai N. Leonenko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-08-23T16:34:12Z","title":"Correlated continuous time random walks and fractional Pearson diffusions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.07086","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:c3fba6a84a448e18546e0f49b494092e83e4b7a02a03803678d9aa45e8565f63","target":"record","created_at":"2026-05-18T00:36:48Z","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":"3dd6a38535cbb7ffe7f3d4e092a5b5e6ed789083c087c979b44263254aafd0ec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-08-23T16:34:12Z","title_canon_sha256":"350af83bd64b042ccd7cc4c2b94b39c35a0849704455f2619aa41121ad1d9cff"},"schema_version":"1.0","source":{"id":"1708.07086","kind":"arxiv","version":1}},"canonical_sha256":"2c8cae1b13317f94ae5b64c52647b84d930fa604cf952c8ecef5b250b5abf7e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c8cae1b13317f94ae5b64c52647b84d930fa604cf952c8ecef5b250b5abf7e7","first_computed_at":"2026-05-18T00:36:48.439073Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:48.439073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q/vdj9QiVY+84tWVBncm4vwOgxALsB4Mh0rN3r6kT9jEMd9i0S7K2ZDv4FOOvo+FJLEKsTvkHgBa68PLExK3Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:48.439677Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.07086","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3fba6a84a448e18546e0f49b494092e83e4b7a02a03803678d9aa45e8565f63","sha256:11b54c8e14dba3703cdc4f225b088d2ba82b36ae384aa2e7af1cb7aca78acbf7"],"state_sha256":"8d41b69add6791e0ca13f786dedfe01a0df1309af2e123415670c5cc33669495"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cLAAPZ9vZwrRsVxTdMyF49HavWSCssgYTHU5mEjV8lY4kCWdOdozPHe8G/+rKBL4bqEDRFSJ4SaY5r0Jb4PsCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T17:53:18.346835Z","bundle_sha256":"d4737ee9aa42e451edb9ebfd6b7e69db541a5e68eda7ff57924d462376737399"}}