{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:D5HMNLFJBJMRJXMP6TITL72UR2","short_pith_number":"pith:D5HMNLFJ","canonical_record":{"source":{"id":"1308.0764","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-08-04T01:06:15Z","cross_cats_sorted":["stat.CO","stat.ME","stat.TH"],"title_canon_sha256":"39b6f4d7e52c461b7f3063a86a34815e0494c0885d6e1ed16753bebafff43a72","abstract_canon_sha256":"c860c749a0ee0247bb7eef441e4e7781defefac38bba7053aa9764c445d14a2e"},"schema_version":"1.0"},"canonical_sha256":"1f4ec6aca90a5914dd8ff4d135ff548e974468a1049048fa2266b1b7484736cd","source":{"kind":"arxiv","id":"1308.0764","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.0764","created_at":"2026-05-18T02:25:34Z"},{"alias_kind":"arxiv_version","alias_value":"1308.0764v3","created_at":"2026-05-18T02:25:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.0764","created_at":"2026-05-18T02:25:34Z"},{"alias_kind":"pith_short_12","alias_value":"D5HMNLFJBJMR","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"D5HMNLFJBJMRJXMP","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"D5HMNLFJ","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:D5HMNLFJBJMRJXMP6TITL72UR2","target":"record","payload":{"canonical_record":{"source":{"id":"1308.0764","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-08-04T01:06:15Z","cross_cats_sorted":["stat.CO","stat.ME","stat.TH"],"title_canon_sha256":"39b6f4d7e52c461b7f3063a86a34815e0494c0885d6e1ed16753bebafff43a72","abstract_canon_sha256":"c860c749a0ee0247bb7eef441e4e7781defefac38bba7053aa9764c445d14a2e"},"schema_version":"1.0"},"canonical_sha256":"1f4ec6aca90a5914dd8ff4d135ff548e974468a1049048fa2266b1b7484736cd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:34.319176Z","signature_b64":"pTUur+WBqY37GNVgFMi5JOC1HbsVWyAT3s8Ax1u3RR9jgB7mlt0IEYMpaMPhy8JfKNfGoeU9E6grpfgFFOLLAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f4ec6aca90a5914dd8ff4d135ff548e974468a1049048fa2266b1b7484736cd","last_reissued_at":"2026-05-18T02:25:34.318702Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:34.318702Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.0764","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":"2026-05-18T02:25:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D92juWFCUfnkisowcv603yDa6xQDshym4o9repMHWhaC4HXBO2T2bIVgq7c+tqfyMz9oIDxXszJ/cqdYvyMEBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T06:07:37.648896Z"},"content_sha256":"4f153b2bfdf969a21b0ba61eea2bfa84e4c26277deac53fa600fe2b719aeeebe","schema_version":"1.0","event_id":"sha256:4f153b2bfdf969a21b0ba61eea2bfa84e4c26277deac53fa600fe2b719aeeebe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:D5HMNLFJBJMRJXMP6TITL72UR2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hypothesis testing for high-dimensional sparse binary regression","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.CO","stat.ME","stat.TH"],"primary_cat":"math.ST","authors_text":"Natesh S. Pillai, Rajarshi Mukherjee, Xihong Lin","submitted_at":"2013-08-04T01:06:15Z","abstract_excerpt":"In this paper, we study the detection boundary for minimax hypothesis testing in the context of high-dimensional, sparse binary regression models. Motivated by genetic sequencing association studies for rare variant effects, we investigate the complexity of the hypothesis testing problem when the design matrix is sparse. We observe a new phenomenon in the behavior of detection boundary which does not occur in the case of Gaussian linear regression. We derive the detection boundary as a function of two components: a design matrix sparsity index and signal strength, each of which is a function o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.0764","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":"2026-05-18T02:25:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mXrSP4PRl4fZQDHzBEy5WyBJEY0DQMIbnxAreZNP6E7VCxury627Y8C04Dp6QmYFrN42Ntd3HPKc/BXWeq+mDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T06:07:37.649605Z"},"content_sha256":"e03f7a1271dca7a8bc99582c3b894e992250de0ea09895271b3f81ec319646b4","schema_version":"1.0","event_id":"sha256:e03f7a1271dca7a8bc99582c3b894e992250de0ea09895271b3f81ec319646b4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D5HMNLFJBJMRJXMP6TITL72UR2/bundle.json","state_url":"https://pith.science/pith/D5HMNLFJBJMRJXMP6TITL72UR2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D5HMNLFJBJMRJXMP6TITL72UR2/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":"2026-06-08T06:07:37Z","links":{"resolver":"https://pith.science/pith/D5HMNLFJBJMRJXMP6TITL72UR2","bundle":"https://pith.science/pith/D5HMNLFJBJMRJXMP6TITL72UR2/bundle.json","state":"https://pith.science/pith/D5HMNLFJBJMRJXMP6TITL72UR2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D5HMNLFJBJMRJXMP6TITL72UR2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:D5HMNLFJBJMRJXMP6TITL72UR2","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":"c860c749a0ee0247bb7eef441e4e7781defefac38bba7053aa9764c445d14a2e","cross_cats_sorted":["stat.CO","stat.ME","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-08-04T01:06:15Z","title_canon_sha256":"39b6f4d7e52c461b7f3063a86a34815e0494c0885d6e1ed16753bebafff43a72"},"schema_version":"1.0","source":{"id":"1308.0764","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.0764","created_at":"2026-05-18T02:25:34Z"},{"alias_kind":"arxiv_version","alias_value":"1308.0764v3","created_at":"2026-05-18T02:25:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.0764","created_at":"2026-05-18T02:25:34Z"},{"alias_kind":"pith_short_12","alias_value":"D5HMNLFJBJMR","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"D5HMNLFJBJMRJXMP","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"D5HMNLFJ","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:e03f7a1271dca7a8bc99582c3b894e992250de0ea09895271b3f81ec319646b4","target":"graph","created_at":"2026-05-18T02:25:34Z","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":"In this paper, we study the detection boundary for minimax hypothesis testing in the context of high-dimensional, sparse binary regression models. Motivated by genetic sequencing association studies for rare variant effects, we investigate the complexity of the hypothesis testing problem when the design matrix is sparse. We observe a new phenomenon in the behavior of detection boundary which does not occur in the case of Gaussian linear regression. We derive the detection boundary as a function of two components: a design matrix sparsity index and signal strength, each of which is a function o","authors_text":"Natesh S. Pillai, Rajarshi Mukherjee, Xihong Lin","cross_cats":["stat.CO","stat.ME","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-08-04T01:06:15Z","title":"Hypothesis testing for high-dimensional sparse binary regression"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.0764","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":"sha256:4f153b2bfdf969a21b0ba61eea2bfa84e4c26277deac53fa600fe2b719aeeebe","target":"record","created_at":"2026-05-18T02:25:34Z","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":"c860c749a0ee0247bb7eef441e4e7781defefac38bba7053aa9764c445d14a2e","cross_cats_sorted":["stat.CO","stat.ME","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-08-04T01:06:15Z","title_canon_sha256":"39b6f4d7e52c461b7f3063a86a34815e0494c0885d6e1ed16753bebafff43a72"},"schema_version":"1.0","source":{"id":"1308.0764","kind":"arxiv","version":3}},"canonical_sha256":"1f4ec6aca90a5914dd8ff4d135ff548e974468a1049048fa2266b1b7484736cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f4ec6aca90a5914dd8ff4d135ff548e974468a1049048fa2266b1b7484736cd","first_computed_at":"2026-05-18T02:25:34.318702Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:34.318702Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pTUur+WBqY37GNVgFMi5JOC1HbsVWyAT3s8Ax1u3RR9jgB7mlt0IEYMpaMPhy8JfKNfGoeU9E6grpfgFFOLLAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:34.319176Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.0764","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f153b2bfdf969a21b0ba61eea2bfa84e4c26277deac53fa600fe2b719aeeebe","sha256:e03f7a1271dca7a8bc99582c3b894e992250de0ea09895271b3f81ec319646b4"],"state_sha256":"10ddf3174b14854842e196145b779cd7a7d43b7f2fdd4eb58caec1417994456f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OKLkFgToMuMnuv2jYyc8Yn+9ysS3Mhqrua3kb7pjOEu9CBFWWkIXAw2wGaPVq9pfDewnT6t9wHrXqME3wUVtCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T06:07:37.653498Z","bundle_sha256":"23ad44b4ea57827f0bf172af07446a27811dd1dc39cae626ca2e38bb464299e0"}}