{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TVPHFAVG2YGDHKRFSOAPTRRDNF","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":"8102875755340ed08e57c6cfda9b2f44cfae0a5008aff6a29c52a55e42d54af2","cross_cats_sorted":["math.PR","stat.CO","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-11-18T18:06:41Z","title_canon_sha256":"671be84d3d5c68d9168f4437e91d6a48e27c926792d9a98ef5b6990ce05cb600"},"schema_version":"1.0","source":{"id":"1411.4944","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.4944","created_at":"2026-05-18T02:34:46Z"},{"alias_kind":"arxiv_version","alias_value":"1411.4944v1","created_at":"2026-05-18T02:34:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4944","created_at":"2026-05-18T02:34:46Z"},{"alias_kind":"pith_short_12","alias_value":"TVPHFAVG2YGD","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"TVPHFAVG2YGDHKRF","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"TVPHFAVG","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:ffd0767fe1e52b6af47523b74d1721ef62bcb5e72181a09cc257108336346f75","target":"graph","created_at":"2026-05-18T02:34:46Z","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 consider the problem of learning two families of time-evolving random measures from indirect observations. In the first model, the signal is a Fleming--Viot diffusion, which is reversible with respect to the law of a Dirichlet process, and the data is a sequence of random samples from the state at discrete times. In the second model, the signal is a Dawson--Watanabe diffusion, which is reversible with respect to the law of a gamma random measure, and the data is a sequence of Poisson point configurations whose intensity is given by the state at discrete times. A common methodology is develo","authors_text":"Dario Span\\`o, Matteo Ruggiero, Omiros Papaspiliopoulos","cross_cats":["math.PR","stat.CO","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-11-18T18:06:41Z","title":"Filtering hidden Markov measures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4944","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":"sha256:6913db6db67ab4f16cab36e420862caff4a5940d797063631add44c5d8200aa8","target":"record","created_at":"2026-05-18T02:34:46Z","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":"8102875755340ed08e57c6cfda9b2f44cfae0a5008aff6a29c52a55e42d54af2","cross_cats_sorted":["math.PR","stat.CO","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-11-18T18:06:41Z","title_canon_sha256":"671be84d3d5c68d9168f4437e91d6a48e27c926792d9a98ef5b6990ce05cb600"},"schema_version":"1.0","source":{"id":"1411.4944","kind":"arxiv","version":1}},"canonical_sha256":"9d5e7282a6d60c33aa259380f9c6236959175c1dce122e0648b1fada5b56dfbb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d5e7282a6d60c33aa259380f9c6236959175c1dce122e0648b1fada5b56dfbb","first_computed_at":"2026-05-18T02:34:46.417096Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:34:46.417096Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y0s/R3b7Nz+ddpyYG0iQTrkzVf/RsLWgXZwQqy6uH42yWvVIpU+jvexb0/fsJ1bL/7Au67Diytjs061d1Pj7AA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:34:46.417466Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.4944","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6913db6db67ab4f16cab36e420862caff4a5940d797063631add44c5d8200aa8","sha256:ffd0767fe1e52b6af47523b74d1721ef62bcb5e72181a09cc257108336346f75"],"state_sha256":"6407f888615e6e81608c50b434ea9373dc4eb04c77f954b24f34a4aeebca933e"}