{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:EAAVVIUZCU2FHMFEI2EY3227TT","short_pith_number":"pith:EAAVVIUZ","canonical_record":{"source":{"id":"1601.03868","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-01-15T10:46:31Z","cross_cats_sorted":["math.ST","stat.AP","stat.TH"],"title_canon_sha256":"822c44ba8c6bba9f3d498e5e72c39dfb3dd4f71fb8df06e01ddd7407ff3ee0a2","abstract_canon_sha256":"6c37d0937cafadc241cae0a615ce1a1f7683d34f2fcc2366be239d6b3d4f70f1"},"schema_version":"1.0"},"canonical_sha256":"20015aa299153453b0a446898deb5f9cfeeebedee1f5f9cb76cfce10c3cd159c","source":{"kind":"arxiv","id":"1601.03868","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.03868","created_at":"2026-05-18T01:22:49Z"},{"alias_kind":"arxiv_version","alias_value":"1601.03868v1","created_at":"2026-05-18T01:22:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.03868","created_at":"2026-05-18T01:22:49Z"},{"alias_kind":"pith_short_12","alias_value":"EAAVVIUZCU2F","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"EAAVVIUZCU2FHMFE","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"EAAVVIUZ","created_at":"2026-05-18T12:30:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:EAAVVIUZCU2FHMFEI2EY3227TT","target":"record","payload":{"canonical_record":{"source":{"id":"1601.03868","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-01-15T10:46:31Z","cross_cats_sorted":["math.ST","stat.AP","stat.TH"],"title_canon_sha256":"822c44ba8c6bba9f3d498e5e72c39dfb3dd4f71fb8df06e01ddd7407ff3ee0a2","abstract_canon_sha256":"6c37d0937cafadc241cae0a615ce1a1f7683d34f2fcc2366be239d6b3d4f70f1"},"schema_version":"1.0"},"canonical_sha256":"20015aa299153453b0a446898deb5f9cfeeebedee1f5f9cb76cfce10c3cd159c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:49.805090Z","signature_b64":"L5zprXMEV1iBd1Ghae69m0Fd2UCIrHOizo5djn3X4H8nYXAddu/SMeOrRp4LVRYrxDIF6zU5CcwVE1qxa/vfAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"20015aa299153453b0a446898deb5f9cfeeebedee1f5f9cb76cfce10c3cd159c","last_reissued_at":"2026-05-18T01:22:49.804664Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:49.804664Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.03868","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":"2026-05-18T01:22:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"olFvAxVm8yulXSxLN9NbAb184XkSZT+qo6ife9Etiz2xKLJwsoG1HFzKzkvUanO8qDSqIjgS3Hm41zZjD4H6Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:33:53.263901Z"},"content_sha256":"684809d523c9fb55bf20260c4c43b730fa1afd28bfb26aa4d2aae34b17e594d9","schema_version":"1.0","event_id":"sha256:684809d523c9fb55bf20260c4c43b730fa1afd28bfb26aa4d2aae34b17e594d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:EAAVVIUZCU2FHMFEI2EY3227TT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An Analytic Expression for the Distribution of the Generalized Shiryaev-Roberts Diffusion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.AP","stat.TH"],"primary_cat":"stat.ME","authors_text":"Aleksey S. Polunchenko, Grigory Sokolov","submitted_at":"2016-01-15T10:46:31Z","abstract_excerpt":"We consider the quickest change-point detection problem where the aim is to detect the onset of a pre-specified drift in \"live\"-monitored standard Brownian motion; the change-point is assumed unknown (nonrandom). The topic of interest is the distribution of the Generalized Shryaev-Roberts (GSR) detection statistic set up to \"sense\" the presence of the drift. Specifically, we derive a closed-form formula for the transition probability density function (pdf) of the time-homogeneous Markov diffusion process generated by the GSR statistic when the Brownian motion under surveillance is \"drift-free\""},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.03868","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":"2026-05-18T01:22:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o468Wr4OL9xGxT1NshyR+GqDa8f4jOPCbXxP8S45UrOCFczagcqGzWiit0N3XV+L7mvBlh0H6vSdytVcB00FBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:33:53.264246Z"},"content_sha256":"0dfb348899bd90186634596c4b2d29d41c47995c28b46f969ce6c351ca680029","schema_version":"1.0","event_id":"sha256:0dfb348899bd90186634596c4b2d29d41c47995c28b46f969ce6c351ca680029"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EAAVVIUZCU2FHMFEI2EY3227TT/bundle.json","state_url":"https://pith.science/pith/EAAVVIUZCU2FHMFEI2EY3227TT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EAAVVIUZCU2FHMFEI2EY3227TT/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":"2026-06-06T18:33:53Z","links":{"resolver":"https://pith.science/pith/EAAVVIUZCU2FHMFEI2EY3227TT","bundle":"https://pith.science/pith/EAAVVIUZCU2FHMFEI2EY3227TT/bundle.json","state":"https://pith.science/pith/EAAVVIUZCU2FHMFEI2EY3227TT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EAAVVIUZCU2FHMFEI2EY3227TT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:EAAVVIUZCU2FHMFEI2EY3227TT","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":"6c37d0937cafadc241cae0a615ce1a1f7683d34f2fcc2366be239d6b3d4f70f1","cross_cats_sorted":["math.ST","stat.AP","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-01-15T10:46:31Z","title_canon_sha256":"822c44ba8c6bba9f3d498e5e72c39dfb3dd4f71fb8df06e01ddd7407ff3ee0a2"},"schema_version":"1.0","source":{"id":"1601.03868","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.03868","created_at":"2026-05-18T01:22:49Z"},{"alias_kind":"arxiv_version","alias_value":"1601.03868v1","created_at":"2026-05-18T01:22:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.03868","created_at":"2026-05-18T01:22:49Z"},{"alias_kind":"pith_short_12","alias_value":"EAAVVIUZCU2F","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"EAAVVIUZCU2FHMFE","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"EAAVVIUZ","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:0dfb348899bd90186634596c4b2d29d41c47995c28b46f969ce6c351ca680029","target":"graph","created_at":"2026-05-18T01:22:49Z","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 consider the quickest change-point detection problem where the aim is to detect the onset of a pre-specified drift in \"live\"-monitored standard Brownian motion; the change-point is assumed unknown (nonrandom). The topic of interest is the distribution of the Generalized Shryaev-Roberts (GSR) detection statistic set up to \"sense\" the presence of the drift. Specifically, we derive a closed-form formula for the transition probability density function (pdf) of the time-homogeneous Markov diffusion process generated by the GSR statistic when the Brownian motion under surveillance is \"drift-free\"","authors_text":"Aleksey S. Polunchenko, Grigory Sokolov","cross_cats":["math.ST","stat.AP","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-01-15T10:46:31Z","title":"An Analytic Expression for the Distribution of the Generalized Shiryaev-Roberts Diffusion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.03868","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":"sha256:684809d523c9fb55bf20260c4c43b730fa1afd28bfb26aa4d2aae34b17e594d9","target":"record","created_at":"2026-05-18T01:22:49Z","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":"6c37d0937cafadc241cae0a615ce1a1f7683d34f2fcc2366be239d6b3d4f70f1","cross_cats_sorted":["math.ST","stat.AP","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-01-15T10:46:31Z","title_canon_sha256":"822c44ba8c6bba9f3d498e5e72c39dfb3dd4f71fb8df06e01ddd7407ff3ee0a2"},"schema_version":"1.0","source":{"id":"1601.03868","kind":"arxiv","version":1}},"canonical_sha256":"20015aa299153453b0a446898deb5f9cfeeebedee1f5f9cb76cfce10c3cd159c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"20015aa299153453b0a446898deb5f9cfeeebedee1f5f9cb76cfce10c3cd159c","first_computed_at":"2026-05-18T01:22:49.804664Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:49.804664Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L5zprXMEV1iBd1Ghae69m0Fd2UCIrHOizo5djn3X4H8nYXAddu/SMeOrRp4LVRYrxDIF6zU5CcwVE1qxa/vfAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:49.805090Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.03868","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:684809d523c9fb55bf20260c4c43b730fa1afd28bfb26aa4d2aae34b17e594d9","sha256:0dfb348899bd90186634596c4b2d29d41c47995c28b46f969ce6c351ca680029"],"state_sha256":"afa0dd5eda2c0685f04a74f4e53f8386ae49ed03d7ea508babe4db1b6c468c37"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ioc/n3VCJJGlwRZ8po8vZTgLyvh1KF5GKvaE6JonL3FizRkadVeiAytZc7kK4M7z55xJJppZCo/0k23LEJKLDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T18:33:53.266544Z","bundle_sha256":"2c375895dfad470ca8c1e09bda21c1d06c2b60fcddc2a95faf2949a6b9436cbd"}}