{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:GFIZRRJNNBAQ7WM6IY6FWGLIAP","short_pith_number":"pith:GFIZRRJN","canonical_record":{"source":{"id":"2501.13187","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2025-01-22T19:35:14Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"62813f10a4fe1917dbadfb1868cf9037eaafffe610cb51e2fb1e74c73d7978bf","abstract_canon_sha256":"290cb18de5e44977f8f0c00842ab9681d5749a8d7e767e2335d85bfc31ae7bcb"},"schema_version":"1.0"},"canonical_sha256":"315198c52d68410fd99e463c5b196803efe82df959d499ae9ba21c60feec3702","source":{"kind":"arxiv","id":"2501.13187","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.13187","created_at":"2026-07-05T10:04:24Z"},{"alias_kind":"arxiv_version","alias_value":"2501.13187v1","created_at":"2026-07-05T10:04:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.13187","created_at":"2026-07-05T10:04:24Z"},{"alias_kind":"pith_short_12","alias_value":"GFIZRRJNNBAQ","created_at":"2026-07-05T10:04:24Z"},{"alias_kind":"pith_short_16","alias_value":"GFIZRRJNNBAQ7WM6","created_at":"2026-07-05T10:04:24Z"},{"alias_kind":"pith_short_8","alias_value":"GFIZRRJN","created_at":"2026-07-05T10:04:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:GFIZRRJNNBAQ7WM6IY6FWGLIAP","target":"record","payload":{"canonical_record":{"source":{"id":"2501.13187","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2025-01-22T19:35:14Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"62813f10a4fe1917dbadfb1868cf9037eaafffe610cb51e2fb1e74c73d7978bf","abstract_canon_sha256":"290cb18de5e44977f8f0c00842ab9681d5749a8d7e767e2335d85bfc31ae7bcb"},"schema_version":"1.0"},"canonical_sha256":"315198c52d68410fd99e463c5b196803efe82df959d499ae9ba21c60feec3702","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:04:24.823682Z","signature_b64":"HTR3G8a73+PjRhhzh8a5pvUEpGk659axpkNsEbXweBY5IcMphjFuc2LI/WB9QiaFkAzZAqufGpkgbxjfgfdaCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"315198c52d68410fd99e463c5b196803efe82df959d499ae9ba21c60feec3702","last_reissued_at":"2026-07-05T10:04:24.823194Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:04:24.823194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.13187","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":"2026-07-05T10:04:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EGGRyMDECTKdFysDLR9ZweNK25ICd1TTZN7FgL8MFP26ljgZLdQfTZO2GCf0RBnYXMXDCJbUUcbzb6BIiM2sAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T01:39:14.011514Z"},"content_sha256":"ec235d87d790fb4a02b00d2f5d49ab8df8f7241f5cdceac32d79de24fea04e46","schema_version":"1.0","event_id":"sha256:ec235d87d790fb4a02b00d2f5d49ab8df8f7241f5cdceac32d79de24fea04e46"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:GFIZRRJNNBAQ7WM6IY6FWGLIAP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sequential One-Sided Hypothesis Testing of Markov Chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"stat.AP","authors_text":"Greg Fields, Shubhanshu Shekhar, Tara Javidi","submitted_at":"2025-01-22T19:35:14Z","abstract_excerpt":"We study the problem of sequentially testing whether a given stochastic process is generated by a known Markov chain. Formally, given access to a stream of random variables, we want to quickly determine whether this sequence is a trajectory of a Markov chain with a known transition matrix $P$ (null hypothesis) or not (composite alternative hypothesis). This problem naturally arises in many engineering problems.\n  The main technical challenge is to develop a sequential testing scheme that adapts its sample size to the unknown alternative. Indeed, if we knew the alternative distribution (that is"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.13187","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2501.13187/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T10:04:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OFf5ddeANqBbIoX85S+JCSD0DNCn4sgdNep+ojT+oihWb8tbRdWZVMoWWyBi7+DVxxbOYovfSRW2X0U8YCneBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T01:39:14.012490Z"},"content_sha256":"4047e078ab02758ca617745ff9fca8f58ee2a2f6a18e67e0984e2a4840801de7","schema_version":"1.0","event_id":"sha256:4047e078ab02758ca617745ff9fca8f58ee2a2f6a18e67e0984e2a4840801de7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GFIZRRJNNBAQ7WM6IY6FWGLIAP/bundle.json","state_url":"https://pith.science/pith/GFIZRRJNNBAQ7WM6IY6FWGLIAP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GFIZRRJNNBAQ7WM6IY6FWGLIAP/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":"2026-08-16T01:39:14Z","links":{"resolver":"https://pith.science/pith/GFIZRRJNNBAQ7WM6IY6FWGLIAP","bundle":"https://pith.science/pith/GFIZRRJNNBAQ7WM6IY6FWGLIAP/bundle.json","state":"https://pith.science/pith/GFIZRRJNNBAQ7WM6IY6FWGLIAP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GFIZRRJNNBAQ7WM6IY6FWGLIAP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:GFIZRRJNNBAQ7WM6IY6FWGLIAP","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":"290cb18de5e44977f8f0c00842ab9681d5749a8d7e767e2335d85bfc31ae7bcb","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2025-01-22T19:35:14Z","title_canon_sha256":"62813f10a4fe1917dbadfb1868cf9037eaafffe610cb51e2fb1e74c73d7978bf"},"schema_version":"1.0","source":{"id":"2501.13187","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.13187","created_at":"2026-07-05T10:04:24Z"},{"alias_kind":"arxiv_version","alias_value":"2501.13187v1","created_at":"2026-07-05T10:04:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.13187","created_at":"2026-07-05T10:04:24Z"},{"alias_kind":"pith_short_12","alias_value":"GFIZRRJNNBAQ","created_at":"2026-07-05T10:04:24Z"},{"alias_kind":"pith_short_16","alias_value":"GFIZRRJNNBAQ7WM6","created_at":"2026-07-05T10:04:24Z"},{"alias_kind":"pith_short_8","alias_value":"GFIZRRJN","created_at":"2026-07-05T10:04:24Z"}],"graph_snapshots":[{"event_id":"sha256:4047e078ab02758ca617745ff9fca8f58ee2a2f6a18e67e0984e2a4840801de7","target":"graph","created_at":"2026-07-05T10:04:24Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2501.13187/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the problem of sequentially testing whether a given stochastic process is generated by a known Markov chain. Formally, given access to a stream of random variables, we want to quickly determine whether this sequence is a trajectory of a Markov chain with a known transition matrix $P$ (null hypothesis) or not (composite alternative hypothesis). This problem naturally arises in many engineering problems.\n  The main technical challenge is to develop a sequential testing scheme that adapts its sample size to the unknown alternative. Indeed, if we knew the alternative distribution (that is","authors_text":"Greg Fields, Shubhanshu Shekhar, Tara Javidi","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2025-01-22T19:35:14Z","title":"Sequential One-Sided Hypothesis Testing of Markov Chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.13187","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:ec235d87d790fb4a02b00d2f5d49ab8df8f7241f5cdceac32d79de24fea04e46","target":"record","created_at":"2026-07-05T10:04:24Z","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":"290cb18de5e44977f8f0c00842ab9681d5749a8d7e767e2335d85bfc31ae7bcb","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2025-01-22T19:35:14Z","title_canon_sha256":"62813f10a4fe1917dbadfb1868cf9037eaafffe610cb51e2fb1e74c73d7978bf"},"schema_version":"1.0","source":{"id":"2501.13187","kind":"arxiv","version":1}},"canonical_sha256":"315198c52d68410fd99e463c5b196803efe82df959d499ae9ba21c60feec3702","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"315198c52d68410fd99e463c5b196803efe82df959d499ae9ba21c60feec3702","first_computed_at":"2026-07-05T10:04:24.823194Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:04:24.823194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HTR3G8a73+PjRhhzh8a5pvUEpGk659axpkNsEbXweBY5IcMphjFuc2LI/WB9QiaFkAzZAqufGpkgbxjfgfdaCA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:04:24.823682Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.13187","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec235d87d790fb4a02b00d2f5d49ab8df8f7241f5cdceac32d79de24fea04e46","sha256:4047e078ab02758ca617745ff9fca8f58ee2a2f6a18e67e0984e2a4840801de7"],"state_sha256":"796d90727078da5326358d0e3b6013e947363589a2f6ce9d736a86dee6061fea"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6u3ssn8150A9R+ZC+dcnO+NOc6qo2X/b9K1UZb7PKNvvGrP7ypbgVGEbIBgQYP7PsODKyXxc6BI/152/E2q5Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T01:39:14.018678Z","bundle_sha256":"80057e18180fc93d6e4368cb1922c8a62d1cfd7ff5dccefa93ebab0c663960c0"}}