{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:BABXQBG4LGO66VFKK36XQXW2XT","short_pith_number":"pith:BABXQBG4","canonical_record":{"source":{"id":"1410.4718","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2014-10-17T13:30:11Z","cross_cats_sorted":[],"title_canon_sha256":"461db3e2fe62e9ab46a8eb4ed9035834feeb6fe677d1719b1ec833af3b46157f","abstract_canon_sha256":"2eb0743dad2e42ad0beab23b17c1a611b6c39273efba4ed25d4ead9b5c99ee77"},"schema_version":"1.0"},"canonical_sha256":"08037804dc599def54aa56fd785edabcc8667654c5e04a3f07f87a85c7a895f9","source":{"kind":"arxiv","id":"1410.4718","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.4718","created_at":"2026-05-18T00:40:47Z"},{"alias_kind":"arxiv_version","alias_value":"1410.4718v3","created_at":"2026-05-18T00:40:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.4718","created_at":"2026-05-18T00:40:47Z"},{"alias_kind":"pith_short_12","alias_value":"BABXQBG4LGO6","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BABXQBG4LGO66VFK","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BABXQBG4","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:BABXQBG4LGO66VFKK36XQXW2XT","target":"record","payload":{"canonical_record":{"source":{"id":"1410.4718","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2014-10-17T13:30:11Z","cross_cats_sorted":[],"title_canon_sha256":"461db3e2fe62e9ab46a8eb4ed9035834feeb6fe677d1719b1ec833af3b46157f","abstract_canon_sha256":"2eb0743dad2e42ad0beab23b17c1a611b6c39273efba4ed25d4ead9b5c99ee77"},"schema_version":"1.0"},"canonical_sha256":"08037804dc599def54aa56fd785edabcc8667654c5e04a3f07f87a85c7a895f9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:47.008492Z","signature_b64":"UtUTRNu98zpb4FDDre6r9wAxqv+dKsWOPszFd77DzEJdiDcf9YDU2AZA/o8IuSnQ+h1YKZEmeupB7QnMHNHoCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"08037804dc599def54aa56fd785edabcc8667654c5e04a3f07f87a85c7a895f9","last_reissued_at":"2026-05-18T00:40:47.007851Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:47.007851Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.4718","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:40:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N3GMbeqzVU5PhGM/UYoLJnMsHRmFx7BcbHTvZpmf03P6sEZh3Wc1K/hndmHg4407CaQJujcZBGmhfkeZpYq6Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T15:41:08.753994Z"},"content_sha256":"6624ea44095ff5067862c447444b96e2d07976ad87258fad63f4b0e7473bbb98","schema_version":"1.0","event_id":"sha256:6624ea44095ff5067862c447444b96e2d07976ad87258fad63f4b0e7473bbb98"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:BABXQBG4LGO66VFKK36XQXW2XT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Choice of Test Statistic for Conditional Moment Inequalities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.AP","authors_text":"Timothy B. Armstrong","submitted_at":"2014-10-17T13:30:11Z","abstract_excerpt":"This paper derives asymptotic approximations to the power of Cramer-von Mises (CvM) style tests for inference on a finite dimensional parameter defined by conditional moment inequalities in the case where the parameter is set identified. Combined with power results for Kolmogorov-Smirnov (KS) tests, these results can be used to choose the optimal test statistic, weighting function and, for tests based on kernel estimates, kernel bandwidth. The results show that, in the setting considered here, KS tests are preferred to CvM tests, and that a truncated variance weighting is preferred to bounded "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.4718","kind":"arxiv","version":3},"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":"2026-05-18T00:40:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aGOjDlTQEl6NMWRsy+ev11bP4LrC2uzz35Sgf4tCvuoJCuQF1X1xqPzaMeQtvhCn0PX7MdOdPnPrRZ4l5gLfBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T15:41:08.754360Z"},"content_sha256":"57413e4f10ce47c702a30df23a9a6e203ea89abf384d7b98eba258cb066d4f8b","schema_version":"1.0","event_id":"sha256:57413e4f10ce47c702a30df23a9a6e203ea89abf384d7b98eba258cb066d4f8b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BABXQBG4LGO66VFKK36XQXW2XT/bundle.json","state_url":"https://pith.science/pith/BABXQBG4LGO66VFKK36XQXW2XT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BABXQBG4LGO66VFKK36XQXW2XT/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":"2026-06-20T15:41:08Z","links":{"resolver":"https://pith.science/pith/BABXQBG4LGO66VFKK36XQXW2XT","bundle":"https://pith.science/pith/BABXQBG4LGO66VFKK36XQXW2XT/bundle.json","state":"https://pith.science/pith/BABXQBG4LGO66VFKK36XQXW2XT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BABXQBG4LGO66VFKK36XQXW2XT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:BABXQBG4LGO66VFKK36XQXW2XT","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":"2eb0743dad2e42ad0beab23b17c1a611b6c39273efba4ed25d4ead9b5c99ee77","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2014-10-17T13:30:11Z","title_canon_sha256":"461db3e2fe62e9ab46a8eb4ed9035834feeb6fe677d1719b1ec833af3b46157f"},"schema_version":"1.0","source":{"id":"1410.4718","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.4718","created_at":"2026-05-18T00:40:47Z"},{"alias_kind":"arxiv_version","alias_value":"1410.4718v3","created_at":"2026-05-18T00:40:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.4718","created_at":"2026-05-18T00:40:47Z"},{"alias_kind":"pith_short_12","alias_value":"BABXQBG4LGO6","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BABXQBG4LGO66VFK","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BABXQBG4","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:57413e4f10ce47c702a30df23a9a6e203ea89abf384d7b98eba258cb066d4f8b","target":"graph","created_at":"2026-05-18T00:40:47Z","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 derives asymptotic approximations to the power of Cramer-von Mises (CvM) style tests for inference on a finite dimensional parameter defined by conditional moment inequalities in the case where the parameter is set identified. Combined with power results for Kolmogorov-Smirnov (KS) tests, these results can be used to choose the optimal test statistic, weighting function and, for tests based on kernel estimates, kernel bandwidth. The results show that, in the setting considered here, KS tests are preferred to CvM tests, and that a truncated variance weighting is preferred to bounded ","authors_text":"Timothy B. Armstrong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2014-10-17T13:30:11Z","title":"On the Choice of Test Statistic for Conditional Moment Inequalities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.4718","kind":"arxiv","version":3},"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":"sha256:6624ea44095ff5067862c447444b96e2d07976ad87258fad63f4b0e7473bbb98","target":"record","created_at":"2026-05-18T00:40:47Z","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":"2eb0743dad2e42ad0beab23b17c1a611b6c39273efba4ed25d4ead9b5c99ee77","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2014-10-17T13:30:11Z","title_canon_sha256":"461db3e2fe62e9ab46a8eb4ed9035834feeb6fe677d1719b1ec833af3b46157f"},"schema_version":"1.0","source":{"id":"1410.4718","kind":"arxiv","version":3}},"canonical_sha256":"08037804dc599def54aa56fd785edabcc8667654c5e04a3f07f87a85c7a895f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"08037804dc599def54aa56fd785edabcc8667654c5e04a3f07f87a85c7a895f9","first_computed_at":"2026-05-18T00:40:47.007851Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:47.007851Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UtUTRNu98zpb4FDDre6r9wAxqv+dKsWOPszFd77DzEJdiDcf9YDU2AZA/o8IuSnQ+h1YKZEmeupB7QnMHNHoCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:47.008492Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.4718","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6624ea44095ff5067862c447444b96e2d07976ad87258fad63f4b0e7473bbb98","sha256:57413e4f10ce47c702a30df23a9a6e203ea89abf384d7b98eba258cb066d4f8b"],"state_sha256":"e74cae726171bd67acf9e6d14b60ae3aff4bbb1264383f6f540c0c0196672af5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"URQk3jjZLXkuCgtw8nXHWR6aAz2RXWwH75sbAjXvDEAQ9lOpq8O9vsD1Rpkm3Mk8udF1Gop7LsN1ThxNqr+UBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T15:41:08.756295Z","bundle_sha256":"3fefe4a1ddfe29eb623c26a47afb771fa9fe260470a6e77efaac25988e7ca720"}}