{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NMYT7UXMSXPVPLBP7BSEGLLOHO","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":"70d8a3dcacd7dcc7f5d1ddd9e9f0688e4f39e5593074ffddbffdd04244e951af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.OT","submitted_at":"2018-06-27T19:40:56Z","title_canon_sha256":"596dbcf2463d1b9c6a66d56feca85cf7a3bbe0a9b4c022004a4739985357c2d6"},"schema_version":"1.0","source":{"id":"1806.11427","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.11427","created_at":"2026-05-18T00:12:01Z"},{"alias_kind":"arxiv_version","alias_value":"1806.11427v1","created_at":"2026-05-18T00:12:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.11427","created_at":"2026-05-18T00:12:01Z"},{"alias_kind":"pith_short_12","alias_value":"NMYT7UXMSXPV","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NMYT7UXMSXPVPLBP","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NMYT7UXM","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:1a099ee8a897abdf2b113672cdb5a5e030143f9349a63b046e350e6c8f284cf0","target":"graph","created_at":"2026-05-18T00:12:01Z","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":"I begin by summarizing key ideas of the paper under discussion. Then I will talk about a graphical modeling perspective, posterior contraction rates and alternative methods of aggregation. Moreover, I will also discuss possible applications of the stacking method to other problems, in particular, aggregating (sub)posterior distributions in distributed computing.","authors_text":"William Weimin Yoo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.OT","submitted_at":"2018-06-27T19:40:56Z","title":"Discussion on Using Stacking to Average Bayesian Predictive Distributions by Yao et al"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.11427","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":"sha256:2ddea96a80be9790013b2adcf164fa11579f61db7a18f167f2082aa0381bc4e8","target":"record","created_at":"2026-05-18T00:12:01Z","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":"70d8a3dcacd7dcc7f5d1ddd9e9f0688e4f39e5593074ffddbffdd04244e951af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.OT","submitted_at":"2018-06-27T19:40:56Z","title_canon_sha256":"596dbcf2463d1b9c6a66d56feca85cf7a3bbe0a9b4c022004a4739985357c2d6"},"schema_version":"1.0","source":{"id":"1806.11427","kind":"arxiv","version":1}},"canonical_sha256":"6b313fd2ec95df57ac2ff864432d6e3b8b40c5b861ccb0a20da37b565fb9ed75","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b313fd2ec95df57ac2ff864432d6e3b8b40c5b861ccb0a20da37b565fb9ed75","first_computed_at":"2026-05-18T00:12:01.897474Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:01.897474Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FNx7nvz+NWdzOvtoTGd/1JV8xUnk8rS+kRrXqNmwx4tAUPl1vk/pISuvLq9gSH9l0Myn3PJLnV4TSpOOFRoVCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:01.897965Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.11427","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ddea96a80be9790013b2adcf164fa11579f61db7a18f167f2082aa0381bc4e8","sha256:1a099ee8a897abdf2b113672cdb5a5e030143f9349a63b046e350e6c8f284cf0"],"state_sha256":"22f4dbcb27bf1932becf6fdeceeb00b38ae186a24c2cc7356f527ce40aaafebb"}