{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:XDOZ3KG6TZP4KNGG27P5ZZBO5Q","short_pith_number":"pith:XDOZ3KG6","canonical_record":{"source":{"id":"1403.6296","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-03-25T11:01:19Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"b84c9c299d20124e66507d8669a7723bcf13dc06257f3f7d5d8055236ea7ba3e","abstract_canon_sha256":"21d91c8eb99287db20d26e2b822ee9a1cdefee71dfcdf59eed7dbab765e40fc0"},"schema_version":"1.0"},"canonical_sha256":"b8dd9da8de9e5fc534c6d7dfdce42eec248e1497a48286eafd545f17f11495a1","source":{"kind":"arxiv","id":"1403.6296","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.6296","created_at":"2026-05-18T02:18:22Z"},{"alias_kind":"arxiv_version","alias_value":"1403.6296v6","created_at":"2026-05-18T02:18:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.6296","created_at":"2026-05-18T02:18:22Z"},{"alias_kind":"pith_short_12","alias_value":"XDOZ3KG6TZP4","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XDOZ3KG6TZP4KNGG","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XDOZ3KG6","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:XDOZ3KG6TZP4KNGG27P5ZZBO5Q","target":"record","payload":{"canonical_record":{"source":{"id":"1403.6296","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-03-25T11:01:19Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"b84c9c299d20124e66507d8669a7723bcf13dc06257f3f7d5d8055236ea7ba3e","abstract_canon_sha256":"21d91c8eb99287db20d26e2b822ee9a1cdefee71dfcdf59eed7dbab765e40fc0"},"schema_version":"1.0"},"canonical_sha256":"b8dd9da8de9e5fc534c6d7dfdce42eec248e1497a48286eafd545f17f11495a1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:22.111604Z","signature_b64":"GDgIvnzuXBlfWIkqVDIfwE2Y5qSqZNUOlGSpuw+p+61+QXtuNE9kUYkKYvu+h4tbgam3ugn6Ewtx2FwDGi4eDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8dd9da8de9e5fc534c6d7dfdce42eec248e1497a48286eafd545f17f11495a1","last_reissued_at":"2026-05-18T02:18:22.111004Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:22.111004Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.6296","source_version":6,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:18:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J4UnNWMOSzrOxekjq226Pgb2gST637IO9gEP1qe5Zlez9+Ti36oDekG/u1vnxq1Lml6h5gTqBWgiwM0U3YI5Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:34:07.012555Z"},"content_sha256":"9fa6bf7c0a58e1a97e656b307290fb98eaa5cef6917cbfad8ffdad95467b7172","schema_version":"1.0","event_id":"sha256:9fa6bf7c0a58e1a97e656b307290fb98eaa5cef6917cbfad8ffdad95467b7172"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:XDOZ3KG6TZP4KNGG27P5ZZBO5Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Consistent Hypothesis Testing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Mikhail Ermakov","submitted_at":"2014-03-25T11:01:19Z","abstract_excerpt":"This paper explores conditions of existence of different types of consistent tests. New links of these types of consistency are also established. The existence of discernible (strong consistent) tests follows from the existence of pointwise consistent tests. If there are consistent tests, then the set of alternatives can be represented as countable union of nested subsets such that there are uniformly consistent tests for the hypothesis and each of this subset of alternatives. Implementing these results we explore both sufficient conditions and necessary conditions for existence of consistent,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.6296","kind":"arxiv","version":6},"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":"2026-05-18T02:18:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BTSWIii0JTV9KeQKFwdPotADIWh/a+lclgoCTajAi5dCAOZWZr+g0QF4UxTSDMwD80HteiMtio7gpfR/h1tzDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:34:07.012907Z"},"content_sha256":"aeabd7ab08b4d6dd635bbe713518c5cf778df9ea9d5b4932b9f92c92ae2eb062","schema_version":"1.0","event_id":"sha256:aeabd7ab08b4d6dd635bbe713518c5cf778df9ea9d5b4932b9f92c92ae2eb062"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XDOZ3KG6TZP4KNGG27P5ZZBO5Q/bundle.json","state_url":"https://pith.science/pith/XDOZ3KG6TZP4KNGG27P5ZZBO5Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XDOZ3KG6TZP4KNGG27P5ZZBO5Q/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":"2026-05-28T12:34:07Z","links":{"resolver":"https://pith.science/pith/XDOZ3KG6TZP4KNGG27P5ZZBO5Q","bundle":"https://pith.science/pith/XDOZ3KG6TZP4KNGG27P5ZZBO5Q/bundle.json","state":"https://pith.science/pith/XDOZ3KG6TZP4KNGG27P5ZZBO5Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XDOZ3KG6TZP4KNGG27P5ZZBO5Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XDOZ3KG6TZP4KNGG27P5ZZBO5Q","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":"21d91c8eb99287db20d26e2b822ee9a1cdefee71dfcdf59eed7dbab765e40fc0","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-03-25T11:01:19Z","title_canon_sha256":"b84c9c299d20124e66507d8669a7723bcf13dc06257f3f7d5d8055236ea7ba3e"},"schema_version":"1.0","source":{"id":"1403.6296","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.6296","created_at":"2026-05-18T02:18:22Z"},{"alias_kind":"arxiv_version","alias_value":"1403.6296v6","created_at":"2026-05-18T02:18:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.6296","created_at":"2026-05-18T02:18:22Z"},{"alias_kind":"pith_short_12","alias_value":"XDOZ3KG6TZP4","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XDOZ3KG6TZP4KNGG","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XDOZ3KG6","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:aeabd7ab08b4d6dd635bbe713518c5cf778df9ea9d5b4932b9f92c92ae2eb062","target":"graph","created_at":"2026-05-18T02:18:22Z","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":"This paper explores conditions of existence of different types of consistent tests. New links of these types of consistency are also established. The existence of discernible (strong consistent) tests follows from the existence of pointwise consistent tests. If there are consistent tests, then the set of alternatives can be represented as countable union of nested subsets such that there are uniformly consistent tests for the hypothesis and each of this subset of alternatives. Implementing these results we explore both sufficient conditions and necessary conditions for existence of consistent,","authors_text":"Mikhail Ermakov","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-03-25T11:01:19Z","title":"On Consistent Hypothesis Testing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.6296","kind":"arxiv","version":6},"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":"sha256:9fa6bf7c0a58e1a97e656b307290fb98eaa5cef6917cbfad8ffdad95467b7172","target":"record","created_at":"2026-05-18T02:18:22Z","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":"21d91c8eb99287db20d26e2b822ee9a1cdefee71dfcdf59eed7dbab765e40fc0","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-03-25T11:01:19Z","title_canon_sha256":"b84c9c299d20124e66507d8669a7723bcf13dc06257f3f7d5d8055236ea7ba3e"},"schema_version":"1.0","source":{"id":"1403.6296","kind":"arxiv","version":6}},"canonical_sha256":"b8dd9da8de9e5fc534c6d7dfdce42eec248e1497a48286eafd545f17f11495a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b8dd9da8de9e5fc534c6d7dfdce42eec248e1497a48286eafd545f17f11495a1","first_computed_at":"2026-05-18T02:18:22.111004Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:22.111004Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GDgIvnzuXBlfWIkqVDIfwE2Y5qSqZNUOlGSpuw+p+61+QXtuNE9kUYkKYvu+h4tbgam3ugn6Ewtx2FwDGi4eDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:22.111604Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.6296","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9fa6bf7c0a58e1a97e656b307290fb98eaa5cef6917cbfad8ffdad95467b7172","sha256:aeabd7ab08b4d6dd635bbe713518c5cf778df9ea9d5b4932b9f92c92ae2eb062"],"state_sha256":"e2f9bdab721c811ae8f9b4beaf0579b20461c0d88a8d693f19798aadb51a9cce"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EnyEaawS2yeCkXss/gCX1SbhcrmtW3nY59o2aG2VqrcaAoZ03djga6toayCnQCZgClZW/R1pOAXNoOYZ9Br8Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T12:34:07.014864Z","bundle_sha256":"90f3b19f106bdc0a43e330fdb6ffafd27e1cbb38afb48061e66cee3816cd7c56"}}