{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:FMCVECMNBF6XUCO255LU6PVYKX","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":"d03cb91f2818b01bff48886229eb2d383b1cc9af9f36c5870d4614e4486b9786","cross_cats_sorted":["stat.CO","stat.ME","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-07-31T06:23:55Z","title_canon_sha256":"4bfbb5203443eb79ad1d4707965a78fd71e870403d7bf70988e52f55ee9b5202"},"schema_version":"1.0","source":{"id":"1008.0055","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.0055","created_at":"2026-05-18T04:08:24Z"},{"alias_kind":"arxiv_version","alias_value":"1008.0055v5","created_at":"2026-05-18T04:08:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0055","created_at":"2026-05-18T04:08:24Z"},{"alias_kind":"pith_short_12","alias_value":"FMCVECMNBF6X","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"FMCVECMNBF6XUCO2","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"FMCVECMN","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:a41cc45d5c3a8525243b5bc4a2670ae8f72d405f6f31842070e99f13568c0b1b","target":"graph","created_at":"2026-05-18T04:08:24Z","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":"In the context of adaptive Monte Carlo algorithms, we cannot directly generate independent samples from the distribution of interest but use a proxy which we need to be close to the target. Generally, such a proxy distribution is a parametric family on the sampling spaces of the target distribution. For continuous sampling problems in high dimensions, we often use the multivariate normal distribution as a proxy for we can easily parametrise it by its moments and quickly sample from it. Our objective is to construct similarly flexible parametric families on binary sampling spaces too large for ","authors_text":"CEREMADE), Christian Sch\\\"afer (CREST","cross_cats":["stat.CO","stat.ME","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-07-31T06:23:55Z","title":"Parametric families on large binary spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0055","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":"sha256:56915a7fc04351414b4f9ccd4d5f9896f9bc2d1ba138396ff38564ac9dfc1f23","target":"record","created_at":"2026-05-18T04:08:24Z","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":"d03cb91f2818b01bff48886229eb2d383b1cc9af9f36c5870d4614e4486b9786","cross_cats_sorted":["stat.CO","stat.ME","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-07-31T06:23:55Z","title_canon_sha256":"4bfbb5203443eb79ad1d4707965a78fd71e870403d7bf70988e52f55ee9b5202"},"schema_version":"1.0","source":{"id":"1008.0055","kind":"arxiv","version":5}},"canonical_sha256":"2b0552098d097d7a09daef574f3eb855e9d93470a694d4267be218a390bb02c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b0552098d097d7a09daef574f3eb855e9d93470a694d4267be218a390bb02c8","first_computed_at":"2026-05-18T04:08:24.555877Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:24.555877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WkInTy0ciUrOW5W4tOq/VUrao4GG2qAgbru7ULE35nDgG8QFf73OUdPzmQzlN/CdgtDxI8+QUwSj4veoVEzfBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:24.556348Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.0055","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56915a7fc04351414b4f9ccd4d5f9896f9bc2d1ba138396ff38564ac9dfc1f23","sha256:a41cc45d5c3a8525243b5bc4a2670ae8f72d405f6f31842070e99f13568c0b1b"],"state_sha256":"88d072c2523f6a7b89385efad8d214714ed19e3db6ca8a6df2c91e2be9616040"}