{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:RVRO2S6W2AHIEHBCLSWINCEZ4J","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":"67177050860c485ffe0bbedd048774622a99ea3855dea8d87896b8a6a458d23a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-11-17T11:29:37Z","title_canon_sha256":"035c78ae111cae1c732b7d67a449d48b0d195a53a056f687c0ced68b7767e093"},"schema_version":"1.0","source":{"id":"1511.05350","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.05350","created_at":"2026-05-18T00:44:42Z"},{"alias_kind":"arxiv_version","alias_value":"1511.05350v3","created_at":"2026-05-18T00:44:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.05350","created_at":"2026-05-18T00:44:42Z"},{"alias_kind":"pith_short_12","alias_value":"RVRO2S6W2AHI","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RVRO2S6W2AHIEHBC","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RVRO2S6W","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:e1f3add131cbdfb0686b2302371d12cdd7b6b03a3e7491b583bb362e46dd75e1","target":"graph","created_at":"2026-05-18T00:44:42Z","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 develop a general theory to address a consensus-based combination of estimations in a parallelized or distributed estimation setting. Taking into account the possibility of very discrepant estimations, instead of a full consensus we consider a \"wide consensus\" procedure. The approach is based on the consideration of trimmed barycenters in the Wasserstein space of probability distributions on R^d with finite second order moments. We include general existence and consistency results as well as characterizations of barycenters of probabilities that belong to (non necessarily elliptical) locati","authors_text":"C. Matr\\'an, E. del Barrio, J.A. Cuesta-Albertos, P. C. \\'Alvarez-Esteban","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-11-17T11:29:37Z","title":"Wide Consensus for Parallelized Inference"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.05350","kind":"arxiv","version":3},"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":"sha256:653e48a493193c642a5fe51e18f54281848de70c084f00382b6445ccbefb2ed8","target":"record","created_at":"2026-05-18T00:44:42Z","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":"67177050860c485ffe0bbedd048774622a99ea3855dea8d87896b8a6a458d23a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-11-17T11:29:37Z","title_canon_sha256":"035c78ae111cae1c732b7d67a449d48b0d195a53a056f687c0ced68b7767e093"},"schema_version":"1.0","source":{"id":"1511.05350","kind":"arxiv","version":3}},"canonical_sha256":"8d62ed4bd6d00e821c225cac868899e25cecc787095851a8fe024d79110aeaaf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8d62ed4bd6d00e821c225cac868899e25cecc787095851a8fe024d79110aeaaf","first_computed_at":"2026-05-18T00:44:42.668304Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:42.668304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rKqw5sHQaoLPHUUpI4nMfISy9nvHvMH2NvS6vaJPYnke629iQLbESmn3RRVaow5mrjXL6WM5lkGMs8UZwVQFCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:42.668719Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.05350","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:653e48a493193c642a5fe51e18f54281848de70c084f00382b6445ccbefb2ed8","sha256:e1f3add131cbdfb0686b2302371d12cdd7b6b03a3e7491b583bb362e46dd75e1"],"state_sha256":"bff0d13732e051b528f0025b4e0b064a89f7c9bea25635fb9fd6b8bb23b4aceb"}