{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:3S2JSVUPVDOAEQDQHUVMHLXHQ7","short_pith_number":"pith:3S2JSVUP","canonical_record":{"source":{"id":"1412.7393","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-12-23T15:02:32Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"6b84fc26065ecfe7db02a059c0097244cb82f09b6673d36d119f85fcb449510c","abstract_canon_sha256":"9530c4ae4fbe00aefa9860b3a6ed770c609e00d3dd477a2cbcff7c2cbb64add1"},"schema_version":"1.0"},"canonical_sha256":"dcb499568fa8dc0240703d2ac3aee787c1d57ae27ba5d4436e89f3938d3a6a67","source":{"kind":"arxiv","id":"1412.7393","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.7393","created_at":"2026-05-18T01:41:15Z"},{"alias_kind":"arxiv_version","alias_value":"1412.7393v4","created_at":"2026-05-18T01:41:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7393","created_at":"2026-05-18T01:41:15Z"},{"alias_kind":"pith_short_12","alias_value":"3S2JSVUPVDOA","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3S2JSVUPVDOAEQDQ","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3S2JSVUP","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:3S2JSVUPVDOAEQDQHUVMHLXHQ7","target":"record","payload":{"canonical_record":{"source":{"id":"1412.7393","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-12-23T15:02:32Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"6b84fc26065ecfe7db02a059c0097244cb82f09b6673d36d119f85fcb449510c","abstract_canon_sha256":"9530c4ae4fbe00aefa9860b3a6ed770c609e00d3dd477a2cbcff7c2cbb64add1"},"schema_version":"1.0"},"canonical_sha256":"dcb499568fa8dc0240703d2ac3aee787c1d57ae27ba5d4436e89f3938d3a6a67","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:41:15.919338Z","signature_b64":"YnR5ETaOahhGstrCu8ml2x8IsW/4fDu/ZaUZglKisx+X5FBXTNKLCDuRBk7bfScqwjyiyR9ITEoLb+k3Nh1RAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dcb499568fa8dc0240703d2ac3aee787c1d57ae27ba5d4436e89f3938d3a6a67","last_reissued_at":"2026-05-18T01:41:15.918834Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:41:15.918834Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.7393","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:41:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yn/onPxyK+KaV+7n2jEbxm5+P8J5Y4QzmDEf+dt7jj16MN41p/mbG5MF2qWNn2RW8WOjvGPyBS4BREjL/mkpDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:04:01.341804Z"},"content_sha256":"34444ece071044a412803116b83fc75434c45821fc504e1b094829f979c0298f","schema_version":"1.0","event_id":"sha256:34444ece071044a412803116b83fc75434c45821fc504e1b094829f979c0298f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:3S2JSVUPVDOAEQDQHUVMHLXHQ7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From Markovian to non-Markovian persistence exponents","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"cond-mat.stat-mech","authors_text":"Julien Randon-Furling","submitted_at":"2014-12-23T15:02:32Z","abstract_excerpt":"We establish an exact formula relating the survival probability for certain L\\'evy flights (viz. asymmetric $\\alpha$-stable processes where $\\alpha = 1/2$) with the survival probability for the order statistics of the running maxima of two independent Brownian particles. This formula allows us to show that the persistence exponent $\\delta$ in the latter, non Markovian case is simply related to the persistence exponent $\\theta$ in the former, Markovian case via: $\\delta=\\theta/2$. Thus, our formula reveals a link between two recently explored families of anomalous exponents: one exhibiting cont"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7393","kind":"arxiv","version":4},"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":"2026-05-18T01:41:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n1pg712X38ClxN0IxnW+0tHe3CW1nNOk2NzZZXtIYO6aXTjbVbKIAS3Aq9ae4/G0rROXMBMplnqQleJ9TX7pDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:04:01.342456Z"},"content_sha256":"a1212ded24eac6db75dae47f9beb32d66bcfb43b5ccb93f5b5f18ec1fd447e82","schema_version":"1.0","event_id":"sha256:a1212ded24eac6db75dae47f9beb32d66bcfb43b5ccb93f5b5f18ec1fd447e82"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3S2JSVUPVDOAEQDQHUVMHLXHQ7/bundle.json","state_url":"https://pith.science/pith/3S2JSVUPVDOAEQDQHUVMHLXHQ7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3S2JSVUPVDOAEQDQHUVMHLXHQ7/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":"2026-06-05T18:04:01Z","links":{"resolver":"https://pith.science/pith/3S2JSVUPVDOAEQDQHUVMHLXHQ7","bundle":"https://pith.science/pith/3S2JSVUPVDOAEQDQHUVMHLXHQ7/bundle.json","state":"https://pith.science/pith/3S2JSVUPVDOAEQDQHUVMHLXHQ7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3S2JSVUPVDOAEQDQHUVMHLXHQ7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3S2JSVUPVDOAEQDQHUVMHLXHQ7","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":"9530c4ae4fbe00aefa9860b3a6ed770c609e00d3dd477a2cbcff7c2cbb64add1","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-12-23T15:02:32Z","title_canon_sha256":"6b84fc26065ecfe7db02a059c0097244cb82f09b6673d36d119f85fcb449510c"},"schema_version":"1.0","source":{"id":"1412.7393","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.7393","created_at":"2026-05-18T01:41:15Z"},{"alias_kind":"arxiv_version","alias_value":"1412.7393v4","created_at":"2026-05-18T01:41:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7393","created_at":"2026-05-18T01:41:15Z"},{"alias_kind":"pith_short_12","alias_value":"3S2JSVUPVDOA","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3S2JSVUPVDOAEQDQ","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3S2JSVUP","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:a1212ded24eac6db75dae47f9beb32d66bcfb43b5ccb93f5b5f18ec1fd447e82","target":"graph","created_at":"2026-05-18T01:41:15Z","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 establish an exact formula relating the survival probability for certain L\\'evy flights (viz. asymmetric $\\alpha$-stable processes where $\\alpha = 1/2$) with the survival probability for the order statistics of the running maxima of two independent Brownian particles. This formula allows us to show that the persistence exponent $\\delta$ in the latter, non Markovian case is simply related to the persistence exponent $\\theta$ in the former, Markovian case via: $\\delta=\\theta/2$. Thus, our formula reveals a link between two recently explored families of anomalous exponents: one exhibiting cont","authors_text":"Julien Randon-Furling","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-12-23T15:02:32Z","title":"From Markovian to non-Markovian persistence exponents"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7393","kind":"arxiv","version":4},"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":"sha256:34444ece071044a412803116b83fc75434c45821fc504e1b094829f979c0298f","target":"record","created_at":"2026-05-18T01:41:15Z","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":"9530c4ae4fbe00aefa9860b3a6ed770c609e00d3dd477a2cbcff7c2cbb64add1","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-12-23T15:02:32Z","title_canon_sha256":"6b84fc26065ecfe7db02a059c0097244cb82f09b6673d36d119f85fcb449510c"},"schema_version":"1.0","source":{"id":"1412.7393","kind":"arxiv","version":4}},"canonical_sha256":"dcb499568fa8dc0240703d2ac3aee787c1d57ae27ba5d4436e89f3938d3a6a67","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dcb499568fa8dc0240703d2ac3aee787c1d57ae27ba5d4436e89f3938d3a6a67","first_computed_at":"2026-05-18T01:41:15.918834Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:15.918834Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YnR5ETaOahhGstrCu8ml2x8IsW/4fDu/ZaUZglKisx+X5FBXTNKLCDuRBk7bfScqwjyiyR9ITEoLb+k3Nh1RAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:15.919338Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.7393","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34444ece071044a412803116b83fc75434c45821fc504e1b094829f979c0298f","sha256:a1212ded24eac6db75dae47f9beb32d66bcfb43b5ccb93f5b5f18ec1fd447e82"],"state_sha256":"5aa58eb437e2b5065f8597c4ea0d30ebd9005d47614cd1f1158eeff9234fac2f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"97pC/RC938m6zY9lYw9G1v5iALT/8nwlHUBF1Erv91YvCjw8/pmvpTG56zQEOqC+KGOCqqtxj3kXp/r4BFOzDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T18:04:01.345768Z","bundle_sha256":"d5121f9cc42b910164b621487a4e3264ec9f62402b46f85af77f4db3c9122f4b"}}