{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:RVW3TMCDC36BMC6JF7H5WMVW2N","short_pith_number":"pith:RVW3TMCD","canonical_record":{"source":{"id":"1711.10696","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-11-29T06:28:41Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"70f40d05f25bbfc93a9fe2d652365da9a59df57615710c1a0ebeecb2037f5098","abstract_canon_sha256":"f8186ac4f9d0b793eef7325a9a1d6e88144226a6318eb2ac040ecc2044839c5b"},"schema_version":"1.0"},"canonical_sha256":"8d6db9b04316fc160bc92fcfdb32b6d37f5ac5a6fff295fc61b80df72f60126e","source":{"kind":"arxiv","id":"1711.10696","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.10696","created_at":"2026-05-18T00:29:17Z"},{"alias_kind":"arxiv_version","alias_value":"1711.10696v1","created_at":"2026-05-18T00:29:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.10696","created_at":"2026-05-18T00:29:17Z"},{"alias_kind":"pith_short_12","alias_value":"RVW3TMCDC36B","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"RVW3TMCDC36BMC6J","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"RVW3TMCD","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:RVW3TMCDC36BMC6JF7H5WMVW2N","target":"record","payload":{"canonical_record":{"source":{"id":"1711.10696","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-11-29T06:28:41Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"70f40d05f25bbfc93a9fe2d652365da9a59df57615710c1a0ebeecb2037f5098","abstract_canon_sha256":"f8186ac4f9d0b793eef7325a9a1d6e88144226a6318eb2ac040ecc2044839c5b"},"schema_version":"1.0"},"canonical_sha256":"8d6db9b04316fc160bc92fcfdb32b6d37f5ac5a6fff295fc61b80df72f60126e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:17.227201Z","signature_b64":"7OAffdppbQHzuTIEcgU/AfvnqMoNV7O//hvFC/HtclQvachQdVHkE5jQSSGx6zM9/uJGQHqchqGHJPB0/E9QAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8d6db9b04316fc160bc92fcfdb32b6d37f5ac5a6fff295fc61b80df72f60126e","last_reissued_at":"2026-05-18T00:29:17.226533Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:17.226533Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.10696","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":"2026-05-18T00:29:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/BcMCGGT/Rqv5PYk3VPi7xuJ3RCGZKW9nhKVkVCQKM779CRPKnprVfpc6TC8FXFWQeXkQD0eWNh0tLLI3BLwDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:56:56.740949Z"},"content_sha256":"7888f9e0b0c1266d5d59ca1bf1add523958ab32d6cd14178dac0605dc80dc3e1","schema_version":"1.0","event_id":"sha256:7888f9e0b0c1266d5d59ca1bf1add523958ab32d6cd14178dac0605dc80dc3e1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:RVW3TMCDC36BMC6JF7H5WMVW2N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Detailed proof of Nazarov's inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Denis Chetverikov, Kengo Kato, Victor Chernozhukov","submitted_at":"2017-11-29T06:28:41Z","abstract_excerpt":"The purpose of this note is to provide a detailed proof of Nazarov's inequality stated in Lemma A.1 in Chernozhukov, Chetverikov, and Kato (2017, Annals of Probability)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.10696","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":"2026-05-18T00:29:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TlV0iKTw4RSx5ZE26Si9tPocmuMLhwXOSs8k6CJ3M5Wl7cLDJzG6psFiABAwX1x6yZ+qXGSKp+knpE7hb0YWBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:56:56.741623Z"},"content_sha256":"811238761d258c565c6d34a61e3fff3675d33f43bb36681e91babd13509e1f43","schema_version":"1.0","event_id":"sha256:811238761d258c565c6d34a61e3fff3675d33f43bb36681e91babd13509e1f43"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RVW3TMCDC36BMC6JF7H5WMVW2N/bundle.json","state_url":"https://pith.science/pith/RVW3TMCDC36BMC6JF7H5WMVW2N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RVW3TMCDC36BMC6JF7H5WMVW2N/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":"2026-05-27T09:56:56Z","links":{"resolver":"https://pith.science/pith/RVW3TMCDC36BMC6JF7H5WMVW2N","bundle":"https://pith.science/pith/RVW3TMCDC36BMC6JF7H5WMVW2N/bundle.json","state":"https://pith.science/pith/RVW3TMCDC36BMC6JF7H5WMVW2N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RVW3TMCDC36BMC6JF7H5WMVW2N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:RVW3TMCDC36BMC6JF7H5WMVW2N","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":"f8186ac4f9d0b793eef7325a9a1d6e88144226a6318eb2ac040ecc2044839c5b","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-11-29T06:28:41Z","title_canon_sha256":"70f40d05f25bbfc93a9fe2d652365da9a59df57615710c1a0ebeecb2037f5098"},"schema_version":"1.0","source":{"id":"1711.10696","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.10696","created_at":"2026-05-18T00:29:17Z"},{"alias_kind":"arxiv_version","alias_value":"1711.10696v1","created_at":"2026-05-18T00:29:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.10696","created_at":"2026-05-18T00:29:17Z"},{"alias_kind":"pith_short_12","alias_value":"RVW3TMCDC36B","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"RVW3TMCDC36BMC6J","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"RVW3TMCD","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:811238761d258c565c6d34a61e3fff3675d33f43bb36681e91babd13509e1f43","target":"graph","created_at":"2026-05-18T00:29:17Z","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":"The purpose of this note is to provide a detailed proof of Nazarov's inequality stated in Lemma A.1 in Chernozhukov, Chetverikov, and Kato (2017, Annals of Probability).","authors_text":"Denis Chetverikov, Kengo Kato, Victor Chernozhukov","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-11-29T06:28:41Z","title":"Detailed proof of Nazarov's inequality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.10696","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":"sha256:7888f9e0b0c1266d5d59ca1bf1add523958ab32d6cd14178dac0605dc80dc3e1","target":"record","created_at":"2026-05-18T00:29:17Z","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":"f8186ac4f9d0b793eef7325a9a1d6e88144226a6318eb2ac040ecc2044839c5b","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-11-29T06:28:41Z","title_canon_sha256":"70f40d05f25bbfc93a9fe2d652365da9a59df57615710c1a0ebeecb2037f5098"},"schema_version":"1.0","source":{"id":"1711.10696","kind":"arxiv","version":1}},"canonical_sha256":"8d6db9b04316fc160bc92fcfdb32b6d37f5ac5a6fff295fc61b80df72f60126e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8d6db9b04316fc160bc92fcfdb32b6d37f5ac5a6fff295fc61b80df72f60126e","first_computed_at":"2026-05-18T00:29:17.226533Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:17.226533Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7OAffdppbQHzuTIEcgU/AfvnqMoNV7O//hvFC/HtclQvachQdVHkE5jQSSGx6zM9/uJGQHqchqGHJPB0/E9QAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:17.227201Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.10696","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7888f9e0b0c1266d5d59ca1bf1add523958ab32d6cd14178dac0605dc80dc3e1","sha256:811238761d258c565c6d34a61e3fff3675d33f43bb36681e91babd13509e1f43"],"state_sha256":"cc5a18c607afaf4f54c78d8437892d264d4f2666e35bfe336d18119782e335b9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YGIBKKyn4cAc1LrzJysoJMqRwPoEOtuUR4rhE+j/+9rS8hQGhN/L8Wx3maqlEfdL16sWLthSh4AfNRdHDXd9Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T09:56:56.745112Z","bundle_sha256":"aea9cf34bad56fac1bb48b1c5a604c306e84f55f0627e7af8e6fb7bcf693fb48"}}