{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:DY2AEATYJPH36RFRN24QFVXHLL","short_pith_number":"pith:DY2AEATY","canonical_record":{"source":{"id":"0910.1194","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-10-07T09:23:55Z","cross_cats_sorted":[],"title_canon_sha256":"eb3eb60210b821d2036f47959e7cb61c5f0d20e0cb9330959b831d1f3b31adf6","abstract_canon_sha256":"98fc8f69fe83a1c57738005ea86f144b0ff4e51abc828f77ad29b8a6ed4f177f"},"schema_version":"1.0"},"canonical_sha256":"1e340202784bcfbf44b16eb902d6e75ae6833175ec858f40e3b9b11c9c5cd291","source":{"kind":"arxiv","id":"0910.1194","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.1194","created_at":"2026-05-18T02:11:25Z"},{"alias_kind":"arxiv_version","alias_value":"0910.1194v2","created_at":"2026-05-18T02:11:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.1194","created_at":"2026-05-18T02:11:25Z"},{"alias_kind":"pith_short_12","alias_value":"DY2AEATYJPH3","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"DY2AEATYJPH36RFR","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"DY2AEATY","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:DY2AEATYJPH36RFRN24QFVXHLL","target":"record","payload":{"canonical_record":{"source":{"id":"0910.1194","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-10-07T09:23:55Z","cross_cats_sorted":[],"title_canon_sha256":"eb3eb60210b821d2036f47959e7cb61c5f0d20e0cb9330959b831d1f3b31adf6","abstract_canon_sha256":"98fc8f69fe83a1c57738005ea86f144b0ff4e51abc828f77ad29b8a6ed4f177f"},"schema_version":"1.0"},"canonical_sha256":"1e340202784bcfbf44b16eb902d6e75ae6833175ec858f40e3b9b11c9c5cd291","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:11:25.949038Z","signature_b64":"QWiQ7Kdm8Jy86oRmPWo1d5GWPeqv0mLpRPaO/0IVBgyLnE7sqsCjwZW1JREhSRTGCQ+Fnl+QGhZlaxrirc9iDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e340202784bcfbf44b16eb902d6e75ae6833175ec858f40e3b9b11c9c5cd291","last_reissued_at":"2026-05-18T02:11:25.948297Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:11:25.948297Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0910.1194","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":"2026-05-18T02:11:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wGIo6ka4ysaNhnOyd1A6RzkDWC94Nc3QwbnuYkJJRKU5l9R/nSRsfWS3AWiVMvuoNc0jyTWadmfA3RJ3ds5kAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T15:31:00.291756Z"},"content_sha256":"24de948bc7e7e6f8b8e729dec95fb1f6d758765d2eeb314afcb360b017d197bf","schema_version":"1.0","event_id":"sha256:24de948bc7e7e6f8b8e729dec95fb1f6d758765d2eeb314afcb360b017d197bf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:DY2AEATYJPH36RFRN24QFVXHLL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Anomalous diffusion in correlated continuous time random walks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Ralf Metzler, Vincent Tejedor","submitted_at":"2009-10-07T09:23:55Z","abstract_excerpt":"We demonstrate that continuous time random walks in which successive waiting times are correlated by Gaussian statistics lead to anomalous diffusion with mean squared displacement <r^2(t)>~t^{2/3}. Long-ranged correlations of the waiting times with power-law exponent alpha (0<alpha<=2) give rise to subdiffusion of the form <r^2(t)>~t^{alpha/(1+alpha)}. In contrast correlations in the jump lengths are shown to produce superdiffusion. We show that in both cases weak ergodicity breaking occurs. Our results are in excellent agreement with simulations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.1194","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":"2026-05-18T02:11:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qbvWjobTgQcvFw6TfQTPn5iRa5L/nD9t6lO5VLWFAUWRutGyVU7dv9bBbqoUrp3Bn2786wH2+8wa5fpxsJQNAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T15:31:00.292107Z"},"content_sha256":"c006a98c20edb7e559e93d286f88abf6f37040a9e1fed8f128b032a7296f7069","schema_version":"1.0","event_id":"sha256:c006a98c20edb7e559e93d286f88abf6f37040a9e1fed8f128b032a7296f7069"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DY2AEATYJPH36RFRN24QFVXHLL/bundle.json","state_url":"https://pith.science/pith/DY2AEATYJPH36RFRN24QFVXHLL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DY2AEATYJPH36RFRN24QFVXHLL/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":"2026-06-04T15:31:00Z","links":{"resolver":"https://pith.science/pith/DY2AEATYJPH36RFRN24QFVXHLL","bundle":"https://pith.science/pith/DY2AEATYJPH36RFRN24QFVXHLL/bundle.json","state":"https://pith.science/pith/DY2AEATYJPH36RFRN24QFVXHLL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DY2AEATYJPH36RFRN24QFVXHLL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:DY2AEATYJPH36RFRN24QFVXHLL","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":"98fc8f69fe83a1c57738005ea86f144b0ff4e51abc828f77ad29b8a6ed4f177f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-10-07T09:23:55Z","title_canon_sha256":"eb3eb60210b821d2036f47959e7cb61c5f0d20e0cb9330959b831d1f3b31adf6"},"schema_version":"1.0","source":{"id":"0910.1194","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.1194","created_at":"2026-05-18T02:11:25Z"},{"alias_kind":"arxiv_version","alias_value":"0910.1194v2","created_at":"2026-05-18T02:11:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.1194","created_at":"2026-05-18T02:11:25Z"},{"alias_kind":"pith_short_12","alias_value":"DY2AEATYJPH3","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"DY2AEATYJPH36RFR","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"DY2AEATY","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:c006a98c20edb7e559e93d286f88abf6f37040a9e1fed8f128b032a7296f7069","target":"graph","created_at":"2026-05-18T02:11:25Z","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":"We demonstrate that continuous time random walks in which successive waiting times are correlated by Gaussian statistics lead to anomalous diffusion with mean squared displacement <r^2(t)>~t^{2/3}. Long-ranged correlations of the waiting times with power-law exponent alpha (0<alpha<=2) give rise to subdiffusion of the form <r^2(t)>~t^{alpha/(1+alpha)}. In contrast correlations in the jump lengths are shown to produce superdiffusion. We show that in both cases weak ergodicity breaking occurs. Our results are in excellent agreement with simulations.","authors_text":"Ralf Metzler, Vincent Tejedor","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-10-07T09:23:55Z","title":"Anomalous diffusion in correlated continuous time random walks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.1194","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":"sha256:24de948bc7e7e6f8b8e729dec95fb1f6d758765d2eeb314afcb360b017d197bf","target":"record","created_at":"2026-05-18T02:11:25Z","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":"98fc8f69fe83a1c57738005ea86f144b0ff4e51abc828f77ad29b8a6ed4f177f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-10-07T09:23:55Z","title_canon_sha256":"eb3eb60210b821d2036f47959e7cb61c5f0d20e0cb9330959b831d1f3b31adf6"},"schema_version":"1.0","source":{"id":"0910.1194","kind":"arxiv","version":2}},"canonical_sha256":"1e340202784bcfbf44b16eb902d6e75ae6833175ec858f40e3b9b11c9c5cd291","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e340202784bcfbf44b16eb902d6e75ae6833175ec858f40e3b9b11c9c5cd291","first_computed_at":"2026-05-18T02:11:25.948297Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:11:25.948297Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QWiQ7Kdm8Jy86oRmPWo1d5GWPeqv0mLpRPaO/0IVBgyLnE7sqsCjwZW1JREhSRTGCQ+Fnl+QGhZlaxrirc9iDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:11:25.949038Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.1194","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:24de948bc7e7e6f8b8e729dec95fb1f6d758765d2eeb314afcb360b017d197bf","sha256:c006a98c20edb7e559e93d286f88abf6f37040a9e1fed8f128b032a7296f7069"],"state_sha256":"a44278d5d045fc82a67e66e692bcfd44228cb6eb8307294b1c499148fb2bc24c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fAJE3kWJSbSxfpmcIfWtlrCiv1VaXkJPPZyk6srZ+PSXt0C7YedJnyTXM+MRE/stbO1LQZVdciMWV7GfuEKkAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T15:31:00.294180Z","bundle_sha256":"c10061e55d3df506b2b7288c5eabb6889cb069fbf5d3ecf34a1f7868d9c3217d"}}