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In a  flat universe, the constraint results for MCG model are,\n  $\\Omega_{b}h^{2}=0.02263^{+0.00184}_{-0.00162}$ ($1\\sigma$) $^{+0.00213}_{-0.00195}$ $(2\\sigma)$,\n  $B_{s}=0.7788^{+0"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1105.1870","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-05-10T07:58:06Z","cross_cats_sorted":[],"title_canon_sha256":"70a20c5341e09b8930dbaece093cc0a1822e0646c3f754bf2939fea3206a56a4","abstract_canon_sha256":"7443b3a2eb50c0342cd0555d191bc858fc8ea846452dec7ed8c0cce701221766"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:22:21.618293Z","signature_b64":"mn3/JCkvUiho6zeIZNiuH5DsCsicsytqxZU+jKwRPEG1hCv/YGrsJWPvYU8XBtNKym0o5qLc2d0P/K1wTh7JCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c0445d046ffc820dc71a39c6ad1aa8a4fc2ce56c6eb29d9371dce5fc9ea4063a","last_reissued_at":"2026-05-18T04:22:21.617796Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:22:21.617796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Combined constraints on modified Chaplygin gas model from cosmological observed data: Markov Chain Monte Carlo approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Jianbo Lu, Lixin Xu, Molin Liu, Yabo Wu","submitted_at":"2011-05-10T07:58:06Z","abstract_excerpt":"We use the Markov Chain Monte Carlo method to investigate a global constraints on the modified Chaplygin gas (MCG) model as the unification of dark matter and dark energy from the latest observational data: the Union2 dataset of type supernovae Ia (SNIa), the observational Hubble data (OHD), the cluster X-ray gas mass fraction, the baryon acoustic oscillation (BAO), and the  cosmic microwave background (CMB) data. In a  flat universe, the constraint results for MCG model are,\n  $\\Omega_{b}h^{2}=0.02263^{+0.00184}_{-0.00162}$ ($1\\sigma$) $^{+0.00213}_{-0.00195}$ $(2\\sigma)$,\n  $B_{s}=0.7788^{+0"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.1870","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1105.1870","created_at":"2026-05-18T04:22:21.617879+00:00"},{"alias_kind":"arxiv_version","alias_value":"1105.1870v1","created_at":"2026-05-18T04:22:21.617879+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.1870","created_at":"2026-05-18T04:22:21.617879+00:00"},{"alias_kind":"pith_short_12","alias_value":"YBCF2BDP7SBA","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_16","alias_value":"YBCF2BDP7SBA3RY2","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_8","alias_value":"YBCF2BDP","created_at":"2026-05-18T12:26:47.523578+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YBCF2BDP7SBA3RY2HHDK2GVIUT","json":"https://pith.science/pith/YBCF2BDP7SBA3RY2HHDK2GVIUT.json","graph_json":"https://pith.science/api/pith-number/YBCF2BDP7SBA3RY2HHDK2GVIUT/graph.json","events_json":"https://pith.science/api/pith-number/YBCF2BDP7SBA3RY2HHDK2GVIUT/events.json","paper":"https://pith.science/paper/YBCF2BDP"},"agent_actions":{"view_html":"https://pith.science/pith/YBCF2BDP7SBA3RY2HHDK2GVIUT","download_json":"https://pith.science/pith/YBCF2BDP7SBA3RY2HHDK2GVIUT.json","view_paper":"https://pith.science/paper/YBCF2BDP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1105.1870&json=true","fetch_graph":"https://pith.science/api/pith-number/YBCF2BDP7SBA3RY2HHDK2GVIUT/graph.json","fetch_events":"https://pith.science/api/pith-number/YBCF2BDP7SBA3RY2HHDK2GVIUT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YBCF2BDP7SBA3RY2HHDK2GVIUT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YBCF2BDP7SBA3RY2HHDK2GVIUT/action/storage_attestation","attest_author":"https://pith.science/pith/YBCF2BDP7SBA3RY2HHDK2GVIUT/action/author_attestation","sign_citation":"https://pith.science/pith/YBCF2BDP7SBA3RY2HHDK2GVIUT/action/citation_signature","submit_replication":"https://pith.science/pith/YBCF2BDP7SBA3RY2HHDK2GVIUT/action/replication_record"}},"created_at":"2026-05-18T04:22:21.617879+00:00","updated_at":"2026-05-18T04:22:21.617879+00:00"}