{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BV6G6H6OSWDUQO3GE7NN7XY3BQ","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":"7b90695d5d43b529599374a48f91e38a3af75220c7de76346cc47e2a00918e37","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-08-06T13:09:49Z","title_canon_sha256":"1ccf18e62309254c4e11a842f90f2ea192815a5ed76c77b00a99150719c8bdfe"},"schema_version":"1.0","source":{"id":"1308.1263","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.1263","created_at":"2026-05-18T00:20:52Z"},{"alias_kind":"arxiv_version","alias_value":"1308.1263v5","created_at":"2026-05-18T00:20:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.1263","created_at":"2026-05-18T00:20:52Z"},{"alias_kind":"pith_short_12","alias_value":"BV6G6H6OSWDU","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"BV6G6H6OSWDUQO3G","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"BV6G6H6O","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:a12ffac94bc4ddd2c9ea48f75a58f194ade08bb93e23d379881f02acb0bf8b78","target":"graph","created_at":"2026-05-18T00:20:52Z","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":"Frequentist conditions for asymptotic suitability of Bayesian procedures focus on lower bounds for prior mass in Kullback-Leibler neighbourhoods of the data distribution. The goal of this paper is to investigate the flexibility in criteria for posterior consistency with i.i.d. data. We formulate a versatile posterior consistency theorem that applies both to well- and mis-specified models and which we use to re-derive Schwartz's theorem, consider Kullback-Leibler consistency and formulate consistency theorems in which priors charge metric balls. It is generalized to sieved models with Barron's ","authors_text":"B. J. K. Kleijn, Y. Y. Zhao","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-08-06T13:09:49Z","title":"Criteria for posterior consistency"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.1263","kind":"arxiv","version":5},"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":"sha256:0de18b4939570fc79dd643d98c76f6dca1d1e1ca8042eb8826c4ec9e048eb9c5","target":"record","created_at":"2026-05-18T00:20:52Z","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":"7b90695d5d43b529599374a48f91e38a3af75220c7de76346cc47e2a00918e37","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-08-06T13:09:49Z","title_canon_sha256":"1ccf18e62309254c4e11a842f90f2ea192815a5ed76c77b00a99150719c8bdfe"},"schema_version":"1.0","source":{"id":"1308.1263","kind":"arxiv","version":5}},"canonical_sha256":"0d7c6f1fce9587483b6627dadfdf1b0c1f798bfd8679e5c11b09d6b3a6b3d406","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d7c6f1fce9587483b6627dadfdf1b0c1f798bfd8679e5c11b09d6b3a6b3d406","first_computed_at":"2026-05-18T00:20:52.708710Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:52.708710Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eaLj6NPPaBo0eZYejMfyz9Q/KkTlgLCdxM77Ia27bbunuV7qBIoo+Qr9tH3puD8pVCCx1gDd8C+QbWpYQUKODw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:52.710983Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.1263","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0de18b4939570fc79dd643d98c76f6dca1d1e1ca8042eb8826c4ec9e048eb9c5","sha256:a12ffac94bc4ddd2c9ea48f75a58f194ade08bb93e23d379881f02acb0bf8b78"],"state_sha256":"12cc81f109640d23c6b08db65c5605f52b83cc073b452feaec50031c09a086f9"}