{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:SG5N64HVDPHO77AIY3VCZDBEYS","short_pith_number":"pith:SG5N64HV","canonical_record":{"source":{"id":"1706.01629","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2017-06-06T07:09:25Z","cross_cats_sorted":["physics.comp-ph","stat.CO"],"title_canon_sha256":"34f8de9d88dc5ed77c8687b987cfd1b284d975cb2f4b7e72f71877c22c9a8833","abstract_canon_sha256":"c5d0a8db8507723a89007701464c7120f305741e4774db3b441e6d839fa16551"},"schema_version":"1.0"},"canonical_sha256":"91badf70f51bceeffc08c6ea2c8c24c48366904d7c943f05c62487e5200ee9cb","source":{"kind":"arxiv","id":"1706.01629","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.01629","created_at":"2026-05-18T00:36:31Z"},{"alias_kind":"arxiv_version","alias_value":"1706.01629v1","created_at":"2026-05-18T00:36:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.01629","created_at":"2026-05-18T00:36:31Z"},{"alias_kind":"pith_short_12","alias_value":"SG5N64HVDPHO","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SG5N64HVDPHO77AI","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SG5N64HV","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:SG5N64HVDPHO77AIY3VCZDBEYS","target":"record","payload":{"canonical_record":{"source":{"id":"1706.01629","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2017-06-06T07:09:25Z","cross_cats_sorted":["physics.comp-ph","stat.CO"],"title_canon_sha256":"34f8de9d88dc5ed77c8687b987cfd1b284d975cb2f4b7e72f71877c22c9a8833","abstract_canon_sha256":"c5d0a8db8507723a89007701464c7120f305741e4774db3b441e6d839fa16551"},"schema_version":"1.0"},"canonical_sha256":"91badf70f51bceeffc08c6ea2c8c24c48366904d7c943f05c62487e5200ee9cb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:31.353161Z","signature_b64":"EBoNVBi4mZJmP97jR1couX1x7neLKFt2S+x3ZaXgYBGFUVFfWXHsdXW7LK1Ih+6vQbmQ84E8R+O8rULB7Nl2Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"91badf70f51bceeffc08c6ea2c8c24c48366904d7c943f05c62487e5200ee9cb","last_reissued_at":"2026-05-18T00:36:31.352361Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:31.352361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.01629","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":"2026-05-18T00:36:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mMCGtdBOoIVDgyqmfogMYpMVzY2DrO3ezJs+HTaYOiMwbL3Djd6reBJjQPNuoCoF/RRSULkGw+61Mq3DfW6iBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T09:48:23.231981Z"},"content_sha256":"470ccb7e190900f66fcce8bd5f4fd5dfb4ac46f334b94333becb43407d02d02c","schema_version":"1.0","event_id":"sha256:470ccb7e190900f66fcce8bd5f4fd5dfb4ac46f334b94333becb43407d02d02c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:SG5N64HVDPHO77AIY3VCZDBEYS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Markov Chain Monte Carlo Methods for Bayesian Data Analysis in Astronomy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph","stat.CO"],"primary_cat":"astro-ph.IM","authors_text":"Sanjib Sharma","submitted_at":"2017-06-06T07:09:25Z","abstract_excerpt":"Markov Chain Monte Carlo based Bayesian data analysis has now become the method of choice for analyzing and interpreting data in almost all disciplines of science. In astronomy, over the last decade, we have also seen a steady increase in the number of papers that employ Monte Carlo based Bayesian analysis. New, efficient Monte Carlo based methods are continuously being developed and explored. In this review, we first explain the basics of Bayesian theory and discuss how to set up data analysis problems within this framework. Next, we provide an overview of various Monte Carlo based methods fo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.01629","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":"2026-05-18T00:36:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vuLbETdxNY0RU3j7Cn0GyfljpH/4FN8H2Pe/guMGgl6DKVaz43TdF3EccdaFEy+4GgjgVZbYy7vDWce1vbZbCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T09:48:23.232354Z"},"content_sha256":"51a8e3fa789bcee12f7cc3641af3f0c4bad8f438e0f56f409570b82684c10670","schema_version":"1.0","event_id":"sha256:51a8e3fa789bcee12f7cc3641af3f0c4bad8f438e0f56f409570b82684c10670"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SG5N64HVDPHO77AIY3VCZDBEYS/bundle.json","state_url":"https://pith.science/pith/SG5N64HVDPHO77AIY3VCZDBEYS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SG5N64HVDPHO77AIY3VCZDBEYS/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":"2026-05-20T09:48:23Z","links":{"resolver":"https://pith.science/pith/SG5N64HVDPHO77AIY3VCZDBEYS","bundle":"https://pith.science/pith/SG5N64HVDPHO77AIY3VCZDBEYS/bundle.json","state":"https://pith.science/pith/SG5N64HVDPHO77AIY3VCZDBEYS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SG5N64HVDPHO77AIY3VCZDBEYS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SG5N64HVDPHO77AIY3VCZDBEYS","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":"c5d0a8db8507723a89007701464c7120f305741e4774db3b441e6d839fa16551","cross_cats_sorted":["physics.comp-ph","stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2017-06-06T07:09:25Z","title_canon_sha256":"34f8de9d88dc5ed77c8687b987cfd1b284d975cb2f4b7e72f71877c22c9a8833"},"schema_version":"1.0","source":{"id":"1706.01629","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.01629","created_at":"2026-05-18T00:36:31Z"},{"alias_kind":"arxiv_version","alias_value":"1706.01629v1","created_at":"2026-05-18T00:36:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.01629","created_at":"2026-05-18T00:36:31Z"},{"alias_kind":"pith_short_12","alias_value":"SG5N64HVDPHO","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SG5N64HVDPHO77AI","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SG5N64HV","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:51a8e3fa789bcee12f7cc3641af3f0c4bad8f438e0f56f409570b82684c10670","target":"graph","created_at":"2026-05-18T00:36:31Z","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":"Markov Chain Monte Carlo based Bayesian data analysis has now become the method of choice for analyzing and interpreting data in almost all disciplines of science. In astronomy, over the last decade, we have also seen a steady increase in the number of papers that employ Monte Carlo based Bayesian analysis. New, efficient Monte Carlo based methods are continuously being developed and explored. In this review, we first explain the basics of Bayesian theory and discuss how to set up data analysis problems within this framework. Next, we provide an overview of various Monte Carlo based methods fo","authors_text":"Sanjib Sharma","cross_cats":["physics.comp-ph","stat.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2017-06-06T07:09:25Z","title":"Markov Chain Monte Carlo Methods for Bayesian Data Analysis in Astronomy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.01629","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":"sha256:470ccb7e190900f66fcce8bd5f4fd5dfb4ac46f334b94333becb43407d02d02c","target":"record","created_at":"2026-05-18T00:36:31Z","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":"c5d0a8db8507723a89007701464c7120f305741e4774db3b441e6d839fa16551","cross_cats_sorted":["physics.comp-ph","stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2017-06-06T07:09:25Z","title_canon_sha256":"34f8de9d88dc5ed77c8687b987cfd1b284d975cb2f4b7e72f71877c22c9a8833"},"schema_version":"1.0","source":{"id":"1706.01629","kind":"arxiv","version":1}},"canonical_sha256":"91badf70f51bceeffc08c6ea2c8c24c48366904d7c943f05c62487e5200ee9cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"91badf70f51bceeffc08c6ea2c8c24c48366904d7c943f05c62487e5200ee9cb","first_computed_at":"2026-05-18T00:36:31.352361Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:31.352361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EBoNVBi4mZJmP97jR1couX1x7neLKFt2S+x3ZaXgYBGFUVFfWXHsdXW7LK1Ih+6vQbmQ84E8R+O8rULB7Nl2Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:31.353161Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.01629","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:470ccb7e190900f66fcce8bd5f4fd5dfb4ac46f334b94333becb43407d02d02c","sha256:51a8e3fa789bcee12f7cc3641af3f0c4bad8f438e0f56f409570b82684c10670"],"state_sha256":"53068b25b0c9ea556ef067f361717069a80ab7f9ec24ff708cf2c49a2a026f3b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QpcyalXQxrMSWENYRhcyX8N3H3kTCrY3EEvlVzRFfNg2s9M3vyJOJAC7hYyIEC1Uzj3gzL1tyceznS+uXwnMDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T09:48:23.234527Z","bundle_sha256":"e13930bcef40f785e5ce815af89c2b9c485bf5ac0a817f2aac40d45ec73e1d3c"}}