{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:IOB42EUUFKTZ6KQ6GXLIO6PHRX","short_pith_number":"pith:IOB42EUU","canonical_record":{"source":{"id":"1903.11127","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2019-03-26T19:27:19Z","cross_cats_sorted":[],"title_canon_sha256":"1ac670600abc3b3df7b2bd230d4e7a5225083b9625555836a2c0fb3f7a9d45bf","abstract_canon_sha256":"86879d9e0086991271d40ec856c886f43f1f00ea470525c86415c3a98c79ecd8"},"schema_version":"1.0"},"canonical_sha256":"4383cd12942aa79f2a1e35d68779e78dda24d7d36b5c1c0cb3235375302da703","source":{"kind":"arxiv","id":"1903.11127","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.11127","created_at":"2026-07-05T02:54:12Z"},{"alias_kind":"arxiv_version","alias_value":"1903.11127v4","created_at":"2026-07-05T02:54:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.11127","created_at":"2026-07-05T02:54:12Z"},{"alias_kind":"pith_short_12","alias_value":"IOB42EUUFKTZ","created_at":"2026-07-05T02:54:12Z"},{"alias_kind":"pith_short_16","alias_value":"IOB42EUUFKTZ6KQ6","created_at":"2026-07-05T02:54:12Z"},{"alias_kind":"pith_short_8","alias_value":"IOB42EUU","created_at":"2026-07-05T02:54:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:IOB42EUUFKTZ6KQ6GXLIO6PHRX","target":"record","payload":{"canonical_record":{"source":{"id":"1903.11127","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2019-03-26T19:27:19Z","cross_cats_sorted":[],"title_canon_sha256":"1ac670600abc3b3df7b2bd230d4e7a5225083b9625555836a2c0fb3f7a9d45bf","abstract_canon_sha256":"86879d9e0086991271d40ec856c886f43f1f00ea470525c86415c3a98c79ecd8"},"schema_version":"1.0"},"canonical_sha256":"4383cd12942aa79f2a1e35d68779e78dda24d7d36b5c1c0cb3235375302da703","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:54:12.223118Z","signature_b64":"QghonHXQCbEGHjd7mAADxNPBgRz68SHkB7QasT2TxZ9+Exq5kYPso3H0EmcqMxOh4I4xSi37Ild9Z1iKPpBSDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4383cd12942aa79f2a1e35d68779e78dda24d7d36b5c1c0cb3235375302da703","last_reissued_at":"2026-07-05T02:54:12.222630Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:54:12.222630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.11127","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:54:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GzOuim/MBiqy49HvC4pvwHGzbjc/KQeZ8J7l0tegPUns0cARtiUxGc4U3EB6heDEcDycTbzHB22iQhEz9qknBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T00:02:17.479581Z"},"content_sha256":"5aceda75042ea3c641f8d88771a50bf3ebc69ecc079589e82b6aec5e4879bda7","schema_version":"1.0","event_id":"sha256:5aceda75042ea3c641f8d88771a50bf3ebc69ecc079589e82b6aec5e4879bda7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:IOB42EUUFKTZ6KQ6GXLIO6PHRX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cosmological parameter inference with Bayesian statistics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"J. Alberto Vazquez, Luis A. Escamilla, Luis E. Padilla, Luis O. Tellez","submitted_at":"2019-03-26T19:27:19Z","abstract_excerpt":"Bayesian statistics and Markov Chain Monte Carlo (MCMC) algorithms have found their place in the field of Cosmology. They have become important mathematical and numerical tools, especially in parameter estimation and model comparison. In this paper, we review some fundamental concepts to understand Bayesian statistics and then introduce MCMC algorithms and samplers that allow us to perform the parameter inference procedure. We also introduce a general description of the standard cosmological model, known as the $\\Lambda$CDM model, along with several alternatives, and current datasets coming fr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.11127","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1903.11127/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T02:54:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N331JeVdPNcKIDaA18ByHNBjKKle1o8ZNxvOGXuzmOcTXTfT6itTfbUGEwngcq+mN/5pHQ9F76n/o6KA5gjDDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T00:02:17.480376Z"},"content_sha256":"a682e73d3a2425052925c18bb4884f9c29232729d162b38ecd4c4b0279e36088","schema_version":"1.0","event_id":"sha256:a682e73d3a2425052925c18bb4884f9c29232729d162b38ecd4c4b0279e36088"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IOB42EUUFKTZ6KQ6GXLIO6PHRX/bundle.json","state_url":"https://pith.science/pith/IOB42EUUFKTZ6KQ6GXLIO6PHRX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IOB42EUUFKTZ6KQ6GXLIO6PHRX/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":"2026-08-05T00:02:17Z","links":{"resolver":"https://pith.science/pith/IOB42EUUFKTZ6KQ6GXLIO6PHRX","bundle":"https://pith.science/pith/IOB42EUUFKTZ6KQ6GXLIO6PHRX/bundle.json","state":"https://pith.science/pith/IOB42EUUFKTZ6KQ6GXLIO6PHRX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IOB42EUUFKTZ6KQ6GXLIO6PHRX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:IOB42EUUFKTZ6KQ6GXLIO6PHRX","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":"86879d9e0086991271d40ec856c886f43f1f00ea470525c86415c3a98c79ecd8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2019-03-26T19:27:19Z","title_canon_sha256":"1ac670600abc3b3df7b2bd230d4e7a5225083b9625555836a2c0fb3f7a9d45bf"},"schema_version":"1.0","source":{"id":"1903.11127","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.11127","created_at":"2026-07-05T02:54:12Z"},{"alias_kind":"arxiv_version","alias_value":"1903.11127v4","created_at":"2026-07-05T02:54:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.11127","created_at":"2026-07-05T02:54:12Z"},{"alias_kind":"pith_short_12","alias_value":"IOB42EUUFKTZ","created_at":"2026-07-05T02:54:12Z"},{"alias_kind":"pith_short_16","alias_value":"IOB42EUUFKTZ6KQ6","created_at":"2026-07-05T02:54:12Z"},{"alias_kind":"pith_short_8","alias_value":"IOB42EUU","created_at":"2026-07-05T02:54:12Z"}],"graph_snapshots":[{"event_id":"sha256:a682e73d3a2425052925c18bb4884f9c29232729d162b38ecd4c4b0279e36088","target":"graph","created_at":"2026-07-05T02:54:12Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1903.11127/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Bayesian statistics and Markov Chain Monte Carlo (MCMC) algorithms have found their place in the field of Cosmology. They have become important mathematical and numerical tools, especially in parameter estimation and model comparison. In this paper, we review some fundamental concepts to understand Bayesian statistics and then introduce MCMC algorithms and samplers that allow us to perform the parameter inference procedure. We also introduce a general description of the standard cosmological model, known as the $\\Lambda$CDM model, along with several alternatives, and current datasets coming fr","authors_text":"J. Alberto Vazquez, Luis A. Escamilla, Luis E. Padilla, Luis O. Tellez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2019-03-26T19:27:19Z","title":"Cosmological parameter inference with Bayesian statistics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.11127","kind":"arxiv","version":4},"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":"sha256:5aceda75042ea3c641f8d88771a50bf3ebc69ecc079589e82b6aec5e4879bda7","target":"record","created_at":"2026-07-05T02:54:12Z","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":"86879d9e0086991271d40ec856c886f43f1f00ea470525c86415c3a98c79ecd8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2019-03-26T19:27:19Z","title_canon_sha256":"1ac670600abc3b3df7b2bd230d4e7a5225083b9625555836a2c0fb3f7a9d45bf"},"schema_version":"1.0","source":{"id":"1903.11127","kind":"arxiv","version":4}},"canonical_sha256":"4383cd12942aa79f2a1e35d68779e78dda24d7d36b5c1c0cb3235375302da703","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4383cd12942aa79f2a1e35d68779e78dda24d7d36b5c1c0cb3235375302da703","first_computed_at":"2026-07-05T02:54:12.222630Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:54:12.222630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QghonHXQCbEGHjd7mAADxNPBgRz68SHkB7QasT2TxZ9+Exq5kYPso3H0EmcqMxOh4I4xSi37Ild9Z1iKPpBSDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:54:12.223118Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.11127","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5aceda75042ea3c641f8d88771a50bf3ebc69ecc079589e82b6aec5e4879bda7","sha256:a682e73d3a2425052925c18bb4884f9c29232729d162b38ecd4c4b0279e36088"],"state_sha256":"fa66b0e860b41b08dfc5370539fce267617f71f9b69ca16f0a98feab2558d2b2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JzytdGQz7gX2mfb57uCmHZZcmt96v48C8kYeMO0eDg132ytEs0nxl5ssrZVsNvJwD0GguaG9m6IRqt4h+CVLAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T00:02:17.527827Z","bundle_sha256":"037433ed48e05c7bd5df433be35a41f9c3e8690ee95d30fda85fc194bab76f15"}}