{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:JZZ46SWJ5BR7RKUSIITAJHY2H6","short_pith_number":"pith:JZZ46SWJ","canonical_record":{"source":{"id":"1902.02723","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-02-07T16:43:40Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"5b5eb86a7e813d80440d6198ade09cca958c01ceb2aa18ef049aa9656f51615c","abstract_canon_sha256":"5c476b24a92ca06564eae28878f0a2a721a92d2e8ee14b01a57a9deecfe938dc"},"schema_version":"1.0"},"canonical_sha256":"4e73cf4ac9e863f8aa924226049f1a3fbb9848769b503e0c7de7a0fae4e4df92","source":{"kind":"arxiv","id":"1902.02723","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.02723","created_at":"2026-05-17T23:40:11Z"},{"alias_kind":"arxiv_version","alias_value":"1902.02723v1","created_at":"2026-05-17T23:40:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.02723","created_at":"2026-05-17T23:40:11Z"},{"alias_kind":"pith_short_12","alias_value":"JZZ46SWJ5BR7","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"JZZ46SWJ5BR7RKUS","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"JZZ46SWJ","created_at":"2026-05-18T12:33:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:JZZ46SWJ5BR7RKUSIITAJHY2H6","target":"record","payload":{"canonical_record":{"source":{"id":"1902.02723","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-02-07T16:43:40Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"5b5eb86a7e813d80440d6198ade09cca958c01ceb2aa18ef049aa9656f51615c","abstract_canon_sha256":"5c476b24a92ca06564eae28878f0a2a721a92d2e8ee14b01a57a9deecfe938dc"},"schema_version":"1.0"},"canonical_sha256":"4e73cf4ac9e863f8aa924226049f1a3fbb9848769b503e0c7de7a0fae4e4df92","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:11.261892Z","signature_b64":"HGi++1xCJSmwDxgi6GxHr8zo67phaBpg3AoeeAlynATk39ga8GZQG9TuDvFFnsVLyXHUMb1niygPbCnHQvpOBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e73cf4ac9e863f8aa924226049f1a3fbb9848769b503e0c7de7a0fae4e4df92","last_reissued_at":"2026-05-17T23:40:11.261225Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:11.261225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.02723","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":"2026-05-17T23:40:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DG4KozO3s4fgzOHy1ob9owA+pAYv+PLD1a+11x4ALyOGEIJuyGH300IxvMPiYVOQgVVG6UD7mRpVIRExTUL/AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T23:10:30.758462Z"},"content_sha256":"846839f54cb2752f60a2329983aaf1834654a3b7e47d34ce978efd2c3a250101","schema_version":"1.0","event_id":"sha256:846839f54cb2752f60a2329983aaf1834654a3b7e47d34ce978efd2c3a250101"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:JZZ46SWJ5BR7RKUSIITAJHY2H6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cram\\'er Type Moderate Deviations for Random Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Aleksandr Beknazaryan, Hailin Sang, Yimin Xiao","submitted_at":"2019-02-07T16:43:40Z","abstract_excerpt":"We study the Cram\\'er type moderate deviation for partial sums of random fields by applying the conjugate method. The results are applicable to the partial sums of linear random fields with short or long memory and to nonparametric regression with random field errors."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.02723","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":"2026-05-17T23:40:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e7rF5iqx95xFC4I2TBauKMsX6ZptYUreyrHnVnkJjlyek6kizRqk9AmtfiED0bJh1oL7zJYnByRcVPLwM1zqAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T23:10:30.758810Z"},"content_sha256":"56c678c5fdd499413eea15f149bfcc6ddf77117654d6d1bb7a4f143de7be660c","schema_version":"1.0","event_id":"sha256:56c678c5fdd499413eea15f149bfcc6ddf77117654d6d1bb7a4f143de7be660c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JZZ46SWJ5BR7RKUSIITAJHY2H6/bundle.json","state_url":"https://pith.science/pith/JZZ46SWJ5BR7RKUSIITAJHY2H6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JZZ46SWJ5BR7RKUSIITAJHY2H6/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":"2026-06-02T23:10:30Z","links":{"resolver":"https://pith.science/pith/JZZ46SWJ5BR7RKUSIITAJHY2H6","bundle":"https://pith.science/pith/JZZ46SWJ5BR7RKUSIITAJHY2H6/bundle.json","state":"https://pith.science/pith/JZZ46SWJ5BR7RKUSIITAJHY2H6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JZZ46SWJ5BR7RKUSIITAJHY2H6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:JZZ46SWJ5BR7RKUSIITAJHY2H6","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":"5c476b24a92ca06564eae28878f0a2a721a92d2e8ee14b01a57a9deecfe938dc","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-02-07T16:43:40Z","title_canon_sha256":"5b5eb86a7e813d80440d6198ade09cca958c01ceb2aa18ef049aa9656f51615c"},"schema_version":"1.0","source":{"id":"1902.02723","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.02723","created_at":"2026-05-17T23:40:11Z"},{"alias_kind":"arxiv_version","alias_value":"1902.02723v1","created_at":"2026-05-17T23:40:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.02723","created_at":"2026-05-17T23:40:11Z"},{"alias_kind":"pith_short_12","alias_value":"JZZ46SWJ5BR7","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"JZZ46SWJ5BR7RKUS","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"JZZ46SWJ","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:56c678c5fdd499413eea15f149bfcc6ddf77117654d6d1bb7a4f143de7be660c","target":"graph","created_at":"2026-05-17T23:40:11Z","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 study the Cram\\'er type moderate deviation for partial sums of random fields by applying the conjugate method. The results are applicable to the partial sums of linear random fields with short or long memory and to nonparametric regression with random field errors.","authors_text":"Aleksandr Beknazaryan, Hailin Sang, Yimin Xiao","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-02-07T16:43:40Z","title":"Cram\\'er Type Moderate Deviations for Random Fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.02723","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":"sha256:846839f54cb2752f60a2329983aaf1834654a3b7e47d34ce978efd2c3a250101","target":"record","created_at":"2026-05-17T23:40:11Z","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":"5c476b24a92ca06564eae28878f0a2a721a92d2e8ee14b01a57a9deecfe938dc","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-02-07T16:43:40Z","title_canon_sha256":"5b5eb86a7e813d80440d6198ade09cca958c01ceb2aa18ef049aa9656f51615c"},"schema_version":"1.0","source":{"id":"1902.02723","kind":"arxiv","version":1}},"canonical_sha256":"4e73cf4ac9e863f8aa924226049f1a3fbb9848769b503e0c7de7a0fae4e4df92","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e73cf4ac9e863f8aa924226049f1a3fbb9848769b503e0c7de7a0fae4e4df92","first_computed_at":"2026-05-17T23:40:11.261225Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:11.261225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HGi++1xCJSmwDxgi6GxHr8zo67phaBpg3AoeeAlynATk39ga8GZQG9TuDvFFnsVLyXHUMb1niygPbCnHQvpOBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:11.261892Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.02723","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:846839f54cb2752f60a2329983aaf1834654a3b7e47d34ce978efd2c3a250101","sha256:56c678c5fdd499413eea15f149bfcc6ddf77117654d6d1bb7a4f143de7be660c"],"state_sha256":"4c907455111a1482073ec7ff1bf292b5c7fb810a8c7f662ada95fef7ab190cb4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gjm9+xr4aSP7zGtN3tNebya5azVC2aOBs6hSfiIe/bwk1kFn63r1oiTNs+OoLFCHSVUHrZa6jH4aKIblXq5rAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T23:10:30.760903Z","bundle_sha256":"3ff379d398ed9729098e84bf15011c4e1f9b86b9c4cc3be10df5d8aa58f2ed37"}}