{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:GYTDMWLAP23YOQFKYLQZCAVEGW","short_pith_number":"pith:GYTDMWLA","canonical_record":{"source":{"id":"1212.4767","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-12-19T18:03:43Z","cross_cats_sorted":["math.DS","physics.data-an"],"title_canon_sha256":"01433bf7392273f634085d49c235c3bce392509b8314f425ad74b25380180571","abstract_canon_sha256":"ddb0e103f02d6edfdfd6cd29cb4032fb5128db1208e2eab3a18d3704371bc491"},"schema_version":"1.0"},"canonical_sha256":"36263659607eb78740aac2e19102a435b5baf518612771b57e5625d5badf1e10","source":{"kind":"arxiv","id":"1212.4767","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.4767","created_at":"2026-05-18T03:15:43Z"},{"alias_kind":"arxiv_version","alias_value":"1212.4767v3","created_at":"2026-05-18T03:15:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4767","created_at":"2026-05-18T03:15:43Z"},{"alias_kind":"pith_short_12","alias_value":"GYTDMWLAP23Y","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GYTDMWLAP23YOQFK","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GYTDMWLA","created_at":"2026-05-18T12:27:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:GYTDMWLAP23YOQFKYLQZCAVEGW","target":"record","payload":{"canonical_record":{"source":{"id":"1212.4767","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-12-19T18:03:43Z","cross_cats_sorted":["math.DS","physics.data-an"],"title_canon_sha256":"01433bf7392273f634085d49c235c3bce392509b8314f425ad74b25380180571","abstract_canon_sha256":"ddb0e103f02d6edfdfd6cd29cb4032fb5128db1208e2eab3a18d3704371bc491"},"schema_version":"1.0"},"canonical_sha256":"36263659607eb78740aac2e19102a435b5baf518612771b57e5625d5badf1e10","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:43.557424Z","signature_b64":"gcCSBhnBfbWjvHxQKfygowymEfMHVaEyNccdZY3D93fE8b3WyULWiMdmuoaZEfi5wUxTQp4h6G7wgMDi+XAfBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"36263659607eb78740aac2e19102a435b5baf518612771b57e5625d5badf1e10","last_reissued_at":"2026-05-18T03:15:43.556885Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:43.556885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.4767","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:15:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PB9o/Lm5JYbyMV+SeEIe28iKo6jbtvUm1hfqNc6WOJOdPeQ7DtJBonexdfZMacKPQLt6GKlhsscJmyVu/tddBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:15:34.272146Z"},"content_sha256":"c1dc25a8b5306b60aa39643a7d8759d24971367261ba0487634012488c032a46","schema_version":"1.0","event_id":"sha256:c1dc25a8b5306b60aa39643a7d8759d24971367261ba0487634012488c032a46"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:GYTDMWLAP23YOQFKYLQZCAVEGW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Proposals which speed-up function-space MCMC","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","physics.data-an"],"primary_cat":"stat.ME","authors_text":"Kody J. H. Law","submitted_at":"2012-12-19T18:03:43Z","abstract_excerpt":"Inverse problems lend themselves naturally to a Bayesian formulation, in which the quantity of interest is a posterior distribution of state and/or parameters given some uncertain observations. For the common case in which the forward operator is smoothing, then the inverse problem is ill-posed. Well-posedness is imposed via regularisation in the form of a prior, which is often Gaussian. Under quite general conditions, it can be shown that the posterior is absolutely continuous with respect to the prior and it may be well-defined on function space in terms of its density with respect to the pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4767","kind":"arxiv","version":3},"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":"2026-05-18T03:15:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NGFDQ/Z5r1FHTHpFnaD7/Hu8lXgNbY0l9UWDFEJdeWELyt7m7/XfpwrgmXmeGQ30zdaZHDjJorxe6Ucf7nKJAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:15:34.272522Z"},"content_sha256":"692a640f08bf4eb8a22f9b166e3b74e73f5abdf6336388ba1be811fb132fafb3","schema_version":"1.0","event_id":"sha256:692a640f08bf4eb8a22f9b166e3b74e73f5abdf6336388ba1be811fb132fafb3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GYTDMWLAP23YOQFKYLQZCAVEGW/bundle.json","state_url":"https://pith.science/pith/GYTDMWLAP23YOQFKYLQZCAVEGW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GYTDMWLAP23YOQFKYLQZCAVEGW/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":"2026-06-01T19:15:34Z","links":{"resolver":"https://pith.science/pith/GYTDMWLAP23YOQFKYLQZCAVEGW","bundle":"https://pith.science/pith/GYTDMWLAP23YOQFKYLQZCAVEGW/bundle.json","state":"https://pith.science/pith/GYTDMWLAP23YOQFKYLQZCAVEGW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GYTDMWLAP23YOQFKYLQZCAVEGW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:GYTDMWLAP23YOQFKYLQZCAVEGW","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":"ddb0e103f02d6edfdfd6cd29cb4032fb5128db1208e2eab3a18d3704371bc491","cross_cats_sorted":["math.DS","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-12-19T18:03:43Z","title_canon_sha256":"01433bf7392273f634085d49c235c3bce392509b8314f425ad74b25380180571"},"schema_version":"1.0","source":{"id":"1212.4767","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.4767","created_at":"2026-05-18T03:15:43Z"},{"alias_kind":"arxiv_version","alias_value":"1212.4767v3","created_at":"2026-05-18T03:15:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4767","created_at":"2026-05-18T03:15:43Z"},{"alias_kind":"pith_short_12","alias_value":"GYTDMWLAP23Y","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GYTDMWLAP23YOQFK","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GYTDMWLA","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:692a640f08bf4eb8a22f9b166e3b74e73f5abdf6336388ba1be811fb132fafb3","target":"graph","created_at":"2026-05-18T03:15:43Z","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":"Inverse problems lend themselves naturally to a Bayesian formulation, in which the quantity of interest is a posterior distribution of state and/or parameters given some uncertain observations. For the common case in which the forward operator is smoothing, then the inverse problem is ill-posed. Well-posedness is imposed via regularisation in the form of a prior, which is often Gaussian. Under quite general conditions, it can be shown that the posterior is absolutely continuous with respect to the prior and it may be well-defined on function space in terms of its density with respect to the pr","authors_text":"Kody J. H. Law","cross_cats":["math.DS","physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-12-19T18:03:43Z","title":"Proposals which speed-up function-space MCMC"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4767","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:c1dc25a8b5306b60aa39643a7d8759d24971367261ba0487634012488c032a46","target":"record","created_at":"2026-05-18T03:15:43Z","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":"ddb0e103f02d6edfdfd6cd29cb4032fb5128db1208e2eab3a18d3704371bc491","cross_cats_sorted":["math.DS","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-12-19T18:03:43Z","title_canon_sha256":"01433bf7392273f634085d49c235c3bce392509b8314f425ad74b25380180571"},"schema_version":"1.0","source":{"id":"1212.4767","kind":"arxiv","version":3}},"canonical_sha256":"36263659607eb78740aac2e19102a435b5baf518612771b57e5625d5badf1e10","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36263659607eb78740aac2e19102a435b5baf518612771b57e5625d5badf1e10","first_computed_at":"2026-05-18T03:15:43.556885Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:43.556885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gcCSBhnBfbWjvHxQKfygowymEfMHVaEyNccdZY3D93fE8b3WyULWiMdmuoaZEfi5wUxTQp4h6G7wgMDi+XAfBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:43.557424Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.4767","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1dc25a8b5306b60aa39643a7d8759d24971367261ba0487634012488c032a46","sha256:692a640f08bf4eb8a22f9b166e3b74e73f5abdf6336388ba1be811fb132fafb3"],"state_sha256":"802bc4700eace31e69b7bb95956a1024c2fc6484e57a380b139f4597fbe56830"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G+ycoA56HgjOSGcEQ4X2hk/+QjsILElw47N9o+2a0wCKC3MOxabFh1ct/M8pwdQWjxiB7H1kkNunHa/uEnzVAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T19:15:34.274437Z","bundle_sha256":"cfe57da84e5cadd8f939a57e39a29f98a7dddb3a58a3c0c91ee5c68f9b26cbc6"}}