{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:UJRZEXXA5LSS4OUQBHHRJVDOKJ","short_pith_number":"pith:UJRZEXXA","canonical_record":{"source":{"id":"1310.7845","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-29T15:35:59Z","cross_cats_sorted":[],"title_canon_sha256":"ad6296b724dc3a63f123483a2261b78a563ba8658c5a6b9a2bfab7f79b2c1fbc","abstract_canon_sha256":"aa207ecd6eea79bdd94d8aa46131de8a979d84a1ff27dde23b06ae4a611bdc65"},"schema_version":"1.0"},"canonical_sha256":"a263925ee0eae52e3a9009cf14d46e525334b053c3b4a7e879a90b69a1b5c9ed","source":{"kind":"arxiv","id":"1310.7845","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.7845","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"arxiv_version","alias_value":"1310.7845v2","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.7845","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"pith_short_12","alias_value":"UJRZEXXA5LSS","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UJRZEXXA5LSS4OUQ","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UJRZEXXA","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:UJRZEXXA5LSS4OUQBHHRJVDOKJ","target":"record","payload":{"canonical_record":{"source":{"id":"1310.7845","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-29T15:35:59Z","cross_cats_sorted":[],"title_canon_sha256":"ad6296b724dc3a63f123483a2261b78a563ba8658c5a6b9a2bfab7f79b2c1fbc","abstract_canon_sha256":"aa207ecd6eea79bdd94d8aa46131de8a979d84a1ff27dde23b06ae4a611bdc65"},"schema_version":"1.0"},"canonical_sha256":"a263925ee0eae52e3a9009cf14d46e525334b053c3b4a7e879a90b69a1b5c9ed","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:13:09.910106Z","signature_b64":"G2JQfgBmTkSRCpxPnFQgDzUIJAVBONeqTnqVXGDglvuaPLn4cFK0LMzzARY9H2ZBbyeg27zqIDGAObCMDIB4AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a263925ee0eae52e3a9009cf14d46e525334b053c3b4a7e879a90b69a1b5c9ed","last_reissued_at":"2026-05-18T01:13:09.909605Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:13:09.909605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.7845","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:13:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T638Zf0XQuwdouevREa4VJi8rkQMZ4gPSgf6920C4g4xXJwi5MYGUoPifLDlLErOuoORS8GH+HdqZd5LpTfRCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T03:22:39.737399Z"},"content_sha256":"0a927bd15bcd614bf6946e1d884d16825b5b550a0759aab266330e9e1a660ded","schema_version":"1.0","event_id":"sha256:0a927bd15bcd614bf6946e1d884d16825b5b550a0759aab266330e9e1a660ded"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:UJRZEXXA5LSS4OUQBHHRJVDOKJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Kullback-Leibler Approximation for Probability Measures on Infinite Dimensional Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Andrew Stuart, Frank Pinski, Gideon Simpson, Hendrik Weber","submitted_at":"2013-10-29T15:35:59Z","abstract_excerpt":"In a variety of applications it is important to extract information from a probability measure $\\mu$ on an infinite dimensional space. Examples include the Bayesian approach to inverse problems and possibly conditioned) continuous time Markov processes. It may then be of interest to find a measure $\\nu$, from within a simple class of measures, which approximates $\\mu$. This problem is studied in the case where the Kullback-Leibler divergence is employed to measure the quality of the approximation. A calculus of variations viewpoint is adopted and the particular case where $\\nu$ is chosen from "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.7845","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:13:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0hSD6T47owTSjFjg6W0ovDUEqhe9y3+wtNcj8XJgudRtcOx+zf/qnTaPqzo8VEp3gFU6gJ6rK79WYbxpsxI2DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T03:22:39.737740Z"},"content_sha256":"fcd110d01560f8db7db4ca884bcf5ea3fc102be90581c4750d6ec60e88f01bb0","schema_version":"1.0","event_id":"sha256:fcd110d01560f8db7db4ca884bcf5ea3fc102be90581c4750d6ec60e88f01bb0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UJRZEXXA5LSS4OUQBHHRJVDOKJ/bundle.json","state_url":"https://pith.science/pith/UJRZEXXA5LSS4OUQBHHRJVDOKJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UJRZEXXA5LSS4OUQBHHRJVDOKJ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T03:22:39Z","links":{"resolver":"https://pith.science/pith/UJRZEXXA5LSS4OUQBHHRJVDOKJ","bundle":"https://pith.science/pith/UJRZEXXA5LSS4OUQBHHRJVDOKJ/bundle.json","state":"https://pith.science/pith/UJRZEXXA5LSS4OUQBHHRJVDOKJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UJRZEXXA5LSS4OUQBHHRJVDOKJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UJRZEXXA5LSS4OUQBHHRJVDOKJ","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":"aa207ecd6eea79bdd94d8aa46131de8a979d84a1ff27dde23b06ae4a611bdc65","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-29T15:35:59Z","title_canon_sha256":"ad6296b724dc3a63f123483a2261b78a563ba8658c5a6b9a2bfab7f79b2c1fbc"},"schema_version":"1.0","source":{"id":"1310.7845","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.7845","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"arxiv_version","alias_value":"1310.7845v2","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.7845","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"pith_short_12","alias_value":"UJRZEXXA5LSS","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UJRZEXXA5LSS4OUQ","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UJRZEXXA","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:fcd110d01560f8db7db4ca884bcf5ea3fc102be90581c4750d6ec60e88f01bb0","target":"graph","created_at":"2026-05-18T01:13:09Z","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 a variety of applications it is important to extract information from a probability measure $\\mu$ on an infinite dimensional space. Examples include the Bayesian approach to inverse problems and possibly conditioned) continuous time Markov processes. It may then be of interest to find a measure $\\nu$, from within a simple class of measures, which approximates $\\mu$. This problem is studied in the case where the Kullback-Leibler divergence is employed to measure the quality of the approximation. A calculus of variations viewpoint is adopted and the particular case where $\\nu$ is chosen from ","authors_text":"Andrew Stuart, Frank Pinski, Gideon Simpson, Hendrik Weber","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-29T15:35:59Z","title":"Kullback-Leibler Approximation for Probability Measures on Infinite Dimensional Spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.7845","kind":"arxiv","version":2},"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":"sha256:0a927bd15bcd614bf6946e1d884d16825b5b550a0759aab266330e9e1a660ded","target":"record","created_at":"2026-05-18T01:13:09Z","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":"aa207ecd6eea79bdd94d8aa46131de8a979d84a1ff27dde23b06ae4a611bdc65","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-29T15:35:59Z","title_canon_sha256":"ad6296b724dc3a63f123483a2261b78a563ba8658c5a6b9a2bfab7f79b2c1fbc"},"schema_version":"1.0","source":{"id":"1310.7845","kind":"arxiv","version":2}},"canonical_sha256":"a263925ee0eae52e3a9009cf14d46e525334b053c3b4a7e879a90b69a1b5c9ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a263925ee0eae52e3a9009cf14d46e525334b053c3b4a7e879a90b69a1b5c9ed","first_computed_at":"2026-05-18T01:13:09.909605Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:09.909605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G2JQfgBmTkSRCpxPnFQgDzUIJAVBONeqTnqVXGDglvuaPLn4cFK0LMzzARY9H2ZBbyeg27zqIDGAObCMDIB4AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:09.910106Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.7845","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a927bd15bcd614bf6946e1d884d16825b5b550a0759aab266330e9e1a660ded","sha256:fcd110d01560f8db7db4ca884bcf5ea3fc102be90581c4750d6ec60e88f01bb0"],"state_sha256":"42da4d812fcfd30766f84dc6bddb66a0e06c6e0062fd471b5319bc6bda55f84e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b9NimQgUzL5PWypFWMM/1q3QeKflxKpWiMoBK4Du4ZHvAUsbgRqhf7Bg7YyZQNkWgsrjCsGYKCdg8LTooISYAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T03:22:39.740615Z","bundle_sha256":"04694bb0aa5ca80a5ab5e9beabac9d1edf2dbf501ea4ed8ea31108c7d5b8bf92"}}