{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:QVPWQ33MOS46WZDZBG7NEX5UTX","short_pith_number":"pith:QVPWQ33M","canonical_record":{"source":{"id":"1804.08650","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-04-23T18:21:40Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"993f04de08859e0705f5204b2e16b8d7d114e0493cb1e52f1078efb719eb2e30","abstract_canon_sha256":"62ad1d1f15c5fa926193b2577a84c756295fc88651178260361ba3c24780d889"},"schema_version":"1.0"},"canonical_sha256":"855f686f6c74b9eb647909bed25fb49de93e92e57efd6c8b4d9517a2ec5a78c1","source":{"kind":"arxiv","id":"1804.08650","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.08650","created_at":"2026-05-18T00:02:17Z"},{"alias_kind":"arxiv_version","alias_value":"1804.08650v2","created_at":"2026-05-18T00:02:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.08650","created_at":"2026-05-18T00:02:17Z"},{"alias_kind":"pith_short_12","alias_value":"QVPWQ33MOS46","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QVPWQ33MOS46WZDZ","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QVPWQ33M","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:QVPWQ33MOS46WZDZBG7NEX5UTX","target":"record","payload":{"canonical_record":{"source":{"id":"1804.08650","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-04-23T18:21:40Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"993f04de08859e0705f5204b2e16b8d7d114e0493cb1e52f1078efb719eb2e30","abstract_canon_sha256":"62ad1d1f15c5fa926193b2577a84c756295fc88651178260361ba3c24780d889"},"schema_version":"1.0"},"canonical_sha256":"855f686f6c74b9eb647909bed25fb49de93e92e57efd6c8b4d9517a2ec5a78c1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:17.995811Z","signature_b64":"LkzqlAOqLVQYeKP3BV5LES5JuDfTSTbr/8jkyVYte6hn3CiYa5lEL4sfx7YfSVgVol7noGo4kU1qgyFfEhiPDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"855f686f6c74b9eb647909bed25fb49de93e92e57efd6c8b4d9517a2ec5a78c1","last_reissued_at":"2026-05-18T00:02:17.995224Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:17.995224Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.08650","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:02:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g5ltExZP9I2hzMWKnWqzg+nCnaEx3iYvnRRi5ensir6tSAmaWgLrcFixeHeFo9QXNjOYtX2Ir7cqz+Ir/bVKCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T21:44:33.203825Z"},"content_sha256":"00b95b7dffddf6a33a4a3ed6371db8f382325d0aaefe226160bab50e8fcd7c6c","schema_version":"1.0","event_id":"sha256:00b95b7dffddf6a33a4a3ed6371db8f382325d0aaefe226160bab50e8fcd7c6c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:QVPWQ33MOS46WZDZBG7NEX5UTX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bayesian Bandwidth Test and Selection for High-dimensional Banded Precision Matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"stat.ME","authors_text":"Kyoungjae Lee, Lizhen Lin","submitted_at":"2018-04-23T18:21:40Z","abstract_excerpt":"Assuming a banded structure is one of the common practice in the estimation of high-dimensional precision matrix. In this case, estimating the bandwidth of the precision matrix is a crucial initial step for subsequent analysis. Although there exist some consistent frequentist tests for the bandwidth parameter, bandwidth selection consistency for precision matrices has not been established in a Bayesian framework. In this paper, we propose a prior distribution tailored to the bandwidth estimation of high-dimensional precision matrices. The banded structure is imposed via the Cholesky factor fro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.08650","kind":"arxiv","version":2},"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":"2026-05-18T00:02:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VKY7E1+GnSSYdcBNwrbbyjmzBGGnDWJU334Dl8ExA3Dq3Pz3u/5amLL25IS3tuAkIuxlL9E6F9sf+5CdM22pCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T21:44:33.204164Z"},"content_sha256":"e4842e0104ee9ac94b6e4ae2abe5bc64ff67d8a79f115eaa97aeb93f004e740e","schema_version":"1.0","event_id":"sha256:e4842e0104ee9ac94b6e4ae2abe5bc64ff67d8a79f115eaa97aeb93f004e740e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QVPWQ33MOS46WZDZBG7NEX5UTX/bundle.json","state_url":"https://pith.science/pith/QVPWQ33MOS46WZDZBG7NEX5UTX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QVPWQ33MOS46WZDZBG7NEX5UTX/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":"2026-07-04T21:44:33Z","links":{"resolver":"https://pith.science/pith/QVPWQ33MOS46WZDZBG7NEX5UTX","bundle":"https://pith.science/pith/QVPWQ33MOS46WZDZBG7NEX5UTX/bundle.json","state":"https://pith.science/pith/QVPWQ33MOS46WZDZBG7NEX5UTX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QVPWQ33MOS46WZDZBG7NEX5UTX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QVPWQ33MOS46WZDZBG7NEX5UTX","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":"62ad1d1f15c5fa926193b2577a84c756295fc88651178260361ba3c24780d889","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-04-23T18:21:40Z","title_canon_sha256":"993f04de08859e0705f5204b2e16b8d7d114e0493cb1e52f1078efb719eb2e30"},"schema_version":"1.0","source":{"id":"1804.08650","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.08650","created_at":"2026-05-18T00:02:17Z"},{"alias_kind":"arxiv_version","alias_value":"1804.08650v2","created_at":"2026-05-18T00:02:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.08650","created_at":"2026-05-18T00:02:17Z"},{"alias_kind":"pith_short_12","alias_value":"QVPWQ33MOS46","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QVPWQ33MOS46WZDZ","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QVPWQ33M","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:e4842e0104ee9ac94b6e4ae2abe5bc64ff67d8a79f115eaa97aeb93f004e740e","target":"graph","created_at":"2026-05-18T00:02:17Z","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":"Assuming a banded structure is one of the common practice in the estimation of high-dimensional precision matrix. In this case, estimating the bandwidth of the precision matrix is a crucial initial step for subsequent analysis. Although there exist some consistent frequentist tests for the bandwidth parameter, bandwidth selection consistency for precision matrices has not been established in a Bayesian framework. In this paper, we propose a prior distribution tailored to the bandwidth estimation of high-dimensional precision matrices. The banded structure is imposed via the Cholesky factor fro","authors_text":"Kyoungjae Lee, Lizhen Lin","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-04-23T18:21:40Z","title":"Bayesian Bandwidth Test and Selection for High-dimensional Banded Precision Matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.08650","kind":"arxiv","version":2},"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":"sha256:00b95b7dffddf6a33a4a3ed6371db8f382325d0aaefe226160bab50e8fcd7c6c","target":"record","created_at":"2026-05-18T00:02:17Z","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":"62ad1d1f15c5fa926193b2577a84c756295fc88651178260361ba3c24780d889","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-04-23T18:21:40Z","title_canon_sha256":"993f04de08859e0705f5204b2e16b8d7d114e0493cb1e52f1078efb719eb2e30"},"schema_version":"1.0","source":{"id":"1804.08650","kind":"arxiv","version":2}},"canonical_sha256":"855f686f6c74b9eb647909bed25fb49de93e92e57efd6c8b4d9517a2ec5a78c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"855f686f6c74b9eb647909bed25fb49de93e92e57efd6c8b4d9517a2ec5a78c1","first_computed_at":"2026-05-18T00:02:17.995224Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:17.995224Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LkzqlAOqLVQYeKP3BV5LES5JuDfTSTbr/8jkyVYte6hn3CiYa5lEL4sfx7YfSVgVol7noGo4kU1qgyFfEhiPDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:17.995811Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.08650","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00b95b7dffddf6a33a4a3ed6371db8f382325d0aaefe226160bab50e8fcd7c6c","sha256:e4842e0104ee9ac94b6e4ae2abe5bc64ff67d8a79f115eaa97aeb93f004e740e"],"state_sha256":"2aadc4c1d67a533cb3090bc9bae9e51aff6de00d37dbea696d19c08c15fe52ac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jiTJMrphvD4a/E/m6QCqKBe7MU06jBttn5mqbeudajKZ5dSPPlraRqwxBWTlI5/s61Zld4E6KVs674eC7rxqDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T21:44:33.206076Z","bundle_sha256":"02d573c8032a732e76e99ea517631dbac19cf4ec5da130ba6a4583ba8631cc6f"}}