{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:4OQRC2U3XOIPXF235BHCIUWXJJ","short_pith_number":"pith:4OQRC2U3","canonical_record":{"source":{"id":"astro-ph/0103134","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2001-03-08T15:42:15Z","cross_cats_sorted":[],"title_canon_sha256":"68b2d2ddaee44790f109e067f27d46e696a9b74b82ad8ca8b56b78391938e303","abstract_canon_sha256":"4dc2672bbe3403dce81734d42f48282db4f1ff7c17d9da1fa07cd5244d248b7b"},"schema_version":"1.0"},"canonical_sha256":"e3a1116a9bbb90fb975be84e2452d74a64a5b08c98c27acad51fd7bf7a8c4301","source":{"kind":"arxiv","id":"astro-ph/0103134","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0103134","created_at":"2026-05-18T01:07:45Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0103134v1","created_at":"2026-05-18T01:07:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0103134","created_at":"2026-05-18T01:07:45Z"},{"alias_kind":"pith_short_12","alias_value":"4OQRC2U3XOIP","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"4OQRC2U3XOIPXF23","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"4OQRC2U3","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:4OQRC2U3XOIPXF235BHCIUWXJJ","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/0103134","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2001-03-08T15:42:15Z","cross_cats_sorted":[],"title_canon_sha256":"68b2d2ddaee44790f109e067f27d46e696a9b74b82ad8ca8b56b78391938e303","abstract_canon_sha256":"4dc2672bbe3403dce81734d42f48282db4f1ff7c17d9da1fa07cd5244d248b7b"},"schema_version":"1.0"},"canonical_sha256":"e3a1116a9bbb90fb975be84e2452d74a64a5b08c98c27acad51fd7bf7a8c4301","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:45.990358Z","signature_b64":"iD7k3a81TUuL2EXFlCy2sXAXzEP4g9BZHz+j7L9WMZO54lDWbO4b0ZwzT/DupVaAAdJHNIWEZEM6dlt7yKzGBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e3a1116a9bbb90fb975be84e2452d74a64a5b08c98c27acad51fd7bf7a8c4301","last_reissued_at":"2026-05-18T01:07:45.989810Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:45.989810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/0103134","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:07:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a18s5a7pw+VrjhXk1Mg1ONNaRczKsSKq7tQqUk9ni0LgCmpWHjP6xhOz/eAULzBaERLpEd8/eundLUDZf6rSBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:57:48.578223Z"},"content_sha256":"69d3cd4d73fd1c869bf786c8142789a610576a6e8bc725e17193da8f2502ac42","schema_version":"1.0","event_id":"sha256:69d3cd4d73fd1c869bf786c8142789a610576a6e8bc725e17193da8f2502ac42"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:4OQRC2U3XOIPXF235BHCIUWXJJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"II: Bayesian Methods for Cosmological Parameter Estimation from Cosmic Microwave Background Measurements","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Ben Luey, Lloyd Knox, Nelson Christensen, Renate Meyer","submitted_at":"2001-03-08T15:42:15Z","abstract_excerpt":"We present a strategy for a statistically rigorous Bayesian approach to the problem of determining cosmological parameters from the results of observations of anisotropies in the cosmic microwave background. Our strategy relies on Markov chain Monte Carlo methods, specifically the Metropolis-Hastings algorithm, to perform the necessary high-dimensional integrals. We describe the Metropolis-Hastings algorithm in detail and discuss the results of our test on simulated data."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0103134","kind":"arxiv","version":1},"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":"2026-05-18T01:07:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V7lTyZpn4cTv0FOfcjQgjPOGnftbjZsUv3IhXVr3P82LDcSd67LaCATIs864WfVbK4WkUBNMI8FTLVeiqXLUCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:57:48.578763Z"},"content_sha256":"9ef0fff1bd8e7680e296f32301f49665a40396574fb11a422e919aca1505ea9a","schema_version":"1.0","event_id":"sha256:9ef0fff1bd8e7680e296f32301f49665a40396574fb11a422e919aca1505ea9a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4OQRC2U3XOIPXF235BHCIUWXJJ/bundle.json","state_url":"https://pith.science/pith/4OQRC2U3XOIPXF235BHCIUWXJJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4OQRC2U3XOIPXF235BHCIUWXJJ/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":"2026-05-27T09:57:48Z","links":{"resolver":"https://pith.science/pith/4OQRC2U3XOIPXF235BHCIUWXJJ","bundle":"https://pith.science/pith/4OQRC2U3XOIPXF235BHCIUWXJJ/bundle.json","state":"https://pith.science/pith/4OQRC2U3XOIPXF235BHCIUWXJJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4OQRC2U3XOIPXF235BHCIUWXJJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:4OQRC2U3XOIPXF235BHCIUWXJJ","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":"4dc2672bbe3403dce81734d42f48282db4f1ff7c17d9da1fa07cd5244d248b7b","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2001-03-08T15:42:15Z","title_canon_sha256":"68b2d2ddaee44790f109e067f27d46e696a9b74b82ad8ca8b56b78391938e303"},"schema_version":"1.0","source":{"id":"astro-ph/0103134","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0103134","created_at":"2026-05-18T01:07:45Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0103134v1","created_at":"2026-05-18T01:07:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0103134","created_at":"2026-05-18T01:07:45Z"},{"alias_kind":"pith_short_12","alias_value":"4OQRC2U3XOIP","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"4OQRC2U3XOIPXF23","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"4OQRC2U3","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:9ef0fff1bd8e7680e296f32301f49665a40396574fb11a422e919aca1505ea9a","target":"graph","created_at":"2026-05-18T01:07:45Z","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 present a strategy for a statistically rigorous Bayesian approach to the problem of determining cosmological parameters from the results of observations of anisotropies in the cosmic microwave background. Our strategy relies on Markov chain Monte Carlo methods, specifically the Metropolis-Hastings algorithm, to perform the necessary high-dimensional integrals. We describe the Metropolis-Hastings algorithm in detail and discuss the results of our test on simulated data.","authors_text":"Ben Luey, Lloyd Knox, Nelson Christensen, Renate Meyer","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2001-03-08T15:42:15Z","title":"II: Bayesian Methods for Cosmological Parameter Estimation from Cosmic Microwave Background Measurements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0103134","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":"sha256:69d3cd4d73fd1c869bf786c8142789a610576a6e8bc725e17193da8f2502ac42","target":"record","created_at":"2026-05-18T01:07:45Z","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":"4dc2672bbe3403dce81734d42f48282db4f1ff7c17d9da1fa07cd5244d248b7b","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2001-03-08T15:42:15Z","title_canon_sha256":"68b2d2ddaee44790f109e067f27d46e696a9b74b82ad8ca8b56b78391938e303"},"schema_version":"1.0","source":{"id":"astro-ph/0103134","kind":"arxiv","version":1}},"canonical_sha256":"e3a1116a9bbb90fb975be84e2452d74a64a5b08c98c27acad51fd7bf7a8c4301","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e3a1116a9bbb90fb975be84e2452d74a64a5b08c98c27acad51fd7bf7a8c4301","first_computed_at":"2026-05-18T01:07:45.989810Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:45.989810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iD7k3a81TUuL2EXFlCy2sXAXzEP4g9BZHz+j7L9WMZO54lDWbO4b0ZwzT/DupVaAAdJHNIWEZEM6dlt7yKzGBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:45.990358Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0103134","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:69d3cd4d73fd1c869bf786c8142789a610576a6e8bc725e17193da8f2502ac42","sha256:9ef0fff1bd8e7680e296f32301f49665a40396574fb11a422e919aca1505ea9a"],"state_sha256":"0fe9e55a72d862d8bd101a4ac867aca439339db51512a08e765a1772ab9fba22"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GZdCu4QBXFi/Lwb/SDp1fEqq5nrnCnH3o1dJlKQiCTELecIOMKg984DBGHYKpE45ZrGlI1mqDPPoayRtoQKzAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T09:57:48.582217Z","bundle_sha256":"f2468ba156839d12f1354c1a49753e77836d08e166513fc178a505f7ad48cf22"}}