{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:V734WQDDA67DE6VY2YTUJUVSA3","short_pith_number":"pith:V734WQDD","schema_version":"1.0","canonical_sha256":"aff7cb406307be327ab8d62744d2b206c59031fc6f3753387fd0cb34a5392961","source":{"kind":"arxiv","id":"2209.08502","version":3},"attestation_state":"computed","paper":{"title":"Null test for cosmic curvature using Gaussian process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"astro-ph.CO","authors_text":"Jing-Zhao Qi, Peng-Ju Wu, Xin Zhang","submitted_at":"2022-09-18T08:20:16Z","abstract_excerpt":"The cosmic curvature $\\Omega_{K,0}$, which determines the spatial geometry of the universe, is an important parameter in modern cosmology. Any deviation from $\\Omega_{K,0}=0$ would have a profound impact on primordial inflation paradigm and fundamental physics. In this work, we adopt a cosmological model-independent method to test whether $\\Omega_{K,0}$ deviates from zero. We use the Gaussian process to reconstruct the reduced Hubble parameter $E(z)$ and the derivative of distance $D'(z)$ from observational data, and then determine $\\Omega_{K,0}$ with a null test relation. The cosmic chronomet"},"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":"2209.08502","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2022-09-18T08:20:16Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"a176bbb1dd891987f8936d5f2c3a4dd95005b9cbb07e93756433922411dbd895","abstract_canon_sha256":"7ef2bdf359d604adf5db81ad2853f22daa75eea62a232380b514657ca3ba5a37"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:00:32.283558Z","signature_b64":"xiJXjNspxsSGD/1Q8yuhVbXVp1wHC+02A/WI4dlf3+IR6coGg+BcUDECNPfult2xwf5sWn80YoG2vbPivBmBBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aff7cb406307be327ab8d62744d2b206c59031fc6f3753387fd0cb34a5392961","last_reissued_at":"2026-07-05T06:00:32.283103Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:00:32.283103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Null test for cosmic curvature using Gaussian process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"astro-ph.CO","authors_text":"Jing-Zhao Qi, Peng-Ju Wu, Xin Zhang","submitted_at":"2022-09-18T08:20:16Z","abstract_excerpt":"The cosmic curvature $\\Omega_{K,0}$, which determines the spatial geometry of the universe, is an important parameter in modern cosmology. Any deviation from $\\Omega_{K,0}=0$ would have a profound impact on primordial inflation paradigm and fundamental physics. In this work, we adopt a cosmological model-independent method to test whether $\\Omega_{K,0}$ deviates from zero. We use the Gaussian process to reconstruct the reduced Hubble parameter $E(z)$ and the derivative of distance $D'(z)$ from observational data, and then determine $\\Omega_{K,0}$ with a null test relation. The cosmic chronomet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.08502","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2209.08502/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2209.08502","created_at":"2026-07-05T06:00:32.283161+00:00"},{"alias_kind":"arxiv_version","alias_value":"2209.08502v3","created_at":"2026-07-05T06:00:32.283161+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.08502","created_at":"2026-07-05T06:00:32.283161+00:00"},{"alias_kind":"pith_short_12","alias_value":"V734WQDDA67D","created_at":"2026-07-05T06:00:32.283161+00:00"},{"alias_kind":"pith_short_16","alias_value":"V734WQDDA67DE6VY","created_at":"2026-07-05T06:00:32.283161+00:00"},{"alias_kind":"pith_short_8","alias_value":"V734WQDD","created_at":"2026-07-05T06:00:32.283161+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2411.19252","citing_title":"Non-parametric reconstructions of cosmic curvature: current constraints and forecasts","ref_index":31,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/V734WQDDA67DE6VY2YTUJUVSA3","json":"https://pith.science/pith/V734WQDDA67DE6VY2YTUJUVSA3.json","graph_json":"https://pith.science/api/pith-number/V734WQDDA67DE6VY2YTUJUVSA3/graph.json","events_json":"https://pith.science/api/pith-number/V734WQDDA67DE6VY2YTUJUVSA3/events.json","paper":"https://pith.science/paper/V734WQDD"},"agent_actions":{"view_html":"https://pith.science/pith/V734WQDDA67DE6VY2YTUJUVSA3","download_json":"https://pith.science/pith/V734WQDDA67DE6VY2YTUJUVSA3.json","view_paper":"https://pith.science/paper/V734WQDD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2209.08502&json=true","fetch_graph":"https://pith.science/api/pith-number/V734WQDDA67DE6VY2YTUJUVSA3/graph.json","fetch_events":"https://pith.science/api/pith-number/V734WQDDA67DE6VY2YTUJUVSA3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/V734WQDDA67DE6VY2YTUJUVSA3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/V734WQDDA67DE6VY2YTUJUVSA3/action/storage_attestation","attest_author":"https://pith.science/pith/V734WQDDA67DE6VY2YTUJUVSA3/action/author_attestation","sign_citation":"https://pith.science/pith/V734WQDDA67DE6VY2YTUJUVSA3/action/citation_signature","submit_replication":"https://pith.science/pith/V734WQDDA67DE6VY2YTUJUVSA3/action/replication_record"}},"created_at":"2026-07-05T06:00:32.283161+00:00","updated_at":"2026-07-05T06:00:32.283161+00:00"}