{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:QJWFTCDAYIQ25T53C2PLHC5YOM","short_pith_number":"pith:QJWFTCDA","canonical_record":{"source":{"id":"1704.05991","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-04-20T03:13:54Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"aefd4eb9e4b01b01712eaf8c921d2cec72f1e98efebfb7c77b4d754020f9aef4","abstract_canon_sha256":"aa4d1e036cc6f608ff008f927082ff2f9e157e1c4a489c4f10dcd4756684c400"},"schema_version":"1.0"},"canonical_sha256":"826c598860c221aecfbb169eb38bb87333e961a1d218b5647f83e861c2dda144","source":{"kind":"arxiv","id":"1704.05991","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.05991","created_at":"2026-05-18T00:46:03Z"},{"alias_kind":"arxiv_version","alias_value":"1704.05991v1","created_at":"2026-05-18T00:46:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.05991","created_at":"2026-05-18T00:46:03Z"},{"alias_kind":"pith_short_12","alias_value":"QJWFTCDAYIQ2","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QJWFTCDAYIQ25T53","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QJWFTCDA","created_at":"2026-05-18T12:31:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:QJWFTCDAYIQ25T53C2PLHC5YOM","target":"record","payload":{"canonical_record":{"source":{"id":"1704.05991","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-04-20T03:13:54Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"aefd4eb9e4b01b01712eaf8c921d2cec72f1e98efebfb7c77b4d754020f9aef4","abstract_canon_sha256":"aa4d1e036cc6f608ff008f927082ff2f9e157e1c4a489c4f10dcd4756684c400"},"schema_version":"1.0"},"canonical_sha256":"826c598860c221aecfbb169eb38bb87333e961a1d218b5647f83e861c2dda144","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:03.616546Z","signature_b64":"GNQ4gpnopuY0WfiWY30aHzjLLx7gCYLSxE/0mcMw0W/CucGklH3WgbZo+sH/DF2Wy3l2be2L5VNcMvtjhL/HDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"826c598860c221aecfbb169eb38bb87333e961a1d218b5647f83e861c2dda144","last_reissued_at":"2026-05-18T00:46:03.616031Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:03.616031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.05991","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":"2026-05-18T00:46:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qehVNpm0LBE217MzSBML2Cb7oV55+Gm2Zk2ebFofrVZSFRgbPBZODlubUwCC3c/xWZJeZoXPNAfnWZ8kxf2KAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T15:33:39.686262Z"},"content_sha256":"e66991d2a39e819e9cd2f4b4cab2e8eace7ef39884c9710c1e3814f64b0c92bc","schema_version":"1.0","event_id":"sha256:e66991d2a39e819e9cd2f4b4cab2e8eace7ef39884c9710c1e3814f64b0c92bc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:QJWFTCDAYIQ25T53C2PLHC5YOM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thresholds For Detecting An Anomalous Path From Noisy Environments","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Ofer Zeitouni, Shirshendu Chatterjee","submitted_at":"2017-04-20T03:13:54Z","abstract_excerpt":"We consider the \"searching for a trail in a maze\" composite hypothesis testing problem, in which one attempts to detect an anomalous directed path in a lattice 2D box of side n based on observations on the nodes of the box. Under the signal hypothesis, one observes independent Gaussian variables of unit variance at all nodes, with zero, mean off the anomalous path and mean \\mu_n on it. Under the null hypothesis, one observes i.i.d. standard Gaussians on all nodes. Arias-Castro et al. (2008) showed that if the unknown directed path under the signal hypothesis has known the initial location, the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.05991","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":"2026-05-18T00:46:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZLaXtOBujpaKLxb4LC3yQ+nV9rOndSqEUkVmxylk2yH3HZjbfirH63rxOZCyOb9gXPRtD5wVkuDdExrwv5/XDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T15:33:39.686625Z"},"content_sha256":"5823ba949e2acd3a60f72859d38fd16923aa395d26abd31ce7e038f73c7b87e4","schema_version":"1.0","event_id":"sha256:5823ba949e2acd3a60f72859d38fd16923aa395d26abd31ce7e038f73c7b87e4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QJWFTCDAYIQ25T53C2PLHC5YOM/bundle.json","state_url":"https://pith.science/pith/QJWFTCDAYIQ25T53C2PLHC5YOM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QJWFTCDAYIQ25T53C2PLHC5YOM/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":"2026-06-25T15:33:39Z","links":{"resolver":"https://pith.science/pith/QJWFTCDAYIQ25T53C2PLHC5YOM","bundle":"https://pith.science/pith/QJWFTCDAYIQ25T53C2PLHC5YOM/bundle.json","state":"https://pith.science/pith/QJWFTCDAYIQ25T53C2PLHC5YOM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QJWFTCDAYIQ25T53C2PLHC5YOM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QJWFTCDAYIQ25T53C2PLHC5YOM","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":"aa4d1e036cc6f608ff008f927082ff2f9e157e1c4a489c4f10dcd4756684c400","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-04-20T03:13:54Z","title_canon_sha256":"aefd4eb9e4b01b01712eaf8c921d2cec72f1e98efebfb7c77b4d754020f9aef4"},"schema_version":"1.0","source":{"id":"1704.05991","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.05991","created_at":"2026-05-18T00:46:03Z"},{"alias_kind":"arxiv_version","alias_value":"1704.05991v1","created_at":"2026-05-18T00:46:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.05991","created_at":"2026-05-18T00:46:03Z"},{"alias_kind":"pith_short_12","alias_value":"QJWFTCDAYIQ2","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QJWFTCDAYIQ25T53","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QJWFTCDA","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:5823ba949e2acd3a60f72859d38fd16923aa395d26abd31ce7e038f73c7b87e4","target":"graph","created_at":"2026-05-18T00:46:03Z","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 \"searching for a trail in a maze\" composite hypothesis testing problem, in which one attempts to detect an anomalous directed path in a lattice 2D box of side n based on observations on the nodes of the box. Under the signal hypothesis, one observes independent Gaussian variables of unit variance at all nodes, with zero, mean off the anomalous path and mean \\mu_n on it. Under the null hypothesis, one observes i.i.d. standard Gaussians on all nodes. Arias-Castro et al. (2008) showed that if the unknown directed path under the signal hypothesis has known the initial location, the","authors_text":"Ofer Zeitouni, Shirshendu Chatterjee","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-04-20T03:13:54Z","title":"Thresholds For Detecting An Anomalous Path From Noisy Environments"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.05991","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:e66991d2a39e819e9cd2f4b4cab2e8eace7ef39884c9710c1e3814f64b0c92bc","target":"record","created_at":"2026-05-18T00:46:03Z","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":"aa4d1e036cc6f608ff008f927082ff2f9e157e1c4a489c4f10dcd4756684c400","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-04-20T03:13:54Z","title_canon_sha256":"aefd4eb9e4b01b01712eaf8c921d2cec72f1e98efebfb7c77b4d754020f9aef4"},"schema_version":"1.0","source":{"id":"1704.05991","kind":"arxiv","version":1}},"canonical_sha256":"826c598860c221aecfbb169eb38bb87333e961a1d218b5647f83e861c2dda144","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"826c598860c221aecfbb169eb38bb87333e961a1d218b5647f83e861c2dda144","first_computed_at":"2026-05-18T00:46:03.616031Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:03.616031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GNQ4gpnopuY0WfiWY30aHzjLLx7gCYLSxE/0mcMw0W/CucGklH3WgbZo+sH/DF2Wy3l2be2L5VNcMvtjhL/HDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:03.616546Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.05991","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e66991d2a39e819e9cd2f4b4cab2e8eace7ef39884c9710c1e3814f64b0c92bc","sha256:5823ba949e2acd3a60f72859d38fd16923aa395d26abd31ce7e038f73c7b87e4"],"state_sha256":"563c8aa98515b5106f8f73c395917912d0cf6deae6498109cba09b0ee9cd2632"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fPgW3q2U/IYjQzr34j0+iuZmJYhfggl/Z423BmU6QgptM8NKMUkZyP+bruTPFq+Vxi8fA+1vySc6Dq6CV1PaDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T15:33:39.688564Z","bundle_sha256":"d2b2fd0dc56986b14dca856eb360d6c9e1d8121deedc1a06b22492effb005dac"}}