{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:SK75HUL34C5BYF22IIYO5FTAIY","short_pith_number":"pith:SK75HUL3","schema_version":"1.0","canonical_sha256":"92bfd3d17be0ba1c175a4230ee9660463f87d5000c00a49d983cb09de24d346f","source":{"kind":"arxiv","id":"1910.09794","version":1},"attestation_state":"computed","paper":{"title":"Model-independent determination of cosmic curvature based on Pad\\'{e} approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Shi-Yu Li, Tingting Zhang, Tong-Jie Zhang, Yun-Long Li","submitted_at":"2019-10-22T07:03:41Z","abstract_excerpt":"Given observations of the standard candles and the cosmic chronometers, we apply Pad\\'{e} parameterization to the comoving distance and the Hubble paramter to find how stringent the constraint is set to the curvature parameter by the data. A weak informative prior is introduced in the modeling process to keep the inference away from the singularities. Bayesian evidence for different order of Pad\\'{e} parameterizations is evaluated during the inference to select the most suitable parameterization in light of the data. The data we used prefer a parameterization form of comoving distance as $D_{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":"1910.09794","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2019-10-22T07:03:41Z","cross_cats_sorted":[],"title_canon_sha256":"164f9d022d2cae70f3a5eafef31785c912aebb493f91f14986fc0516b1a09f83","abstract_canon_sha256":"4e3a9d4de18ea4317e8c0310a87397ecbab8e92040874cfea72c2b05062c1e01"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:31:25.729725Z","signature_b64":"42fYyvKbMPLeEigm0LjjA309em5sgeCqvmDu5M24lm30Q8YF57lArgZKWf+gMUQuJHdHD+445GFZM9H6xQ4HAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92bfd3d17be0ba1c175a4230ee9660463f87d5000c00a49d983cb09de24d346f","last_reissued_at":"2026-07-05T00:31:25.729330Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:31:25.729330Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Model-independent determination of cosmic curvature based on Pad\\'{e} approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Shi-Yu Li, Tingting Zhang, Tong-Jie Zhang, Yun-Long Li","submitted_at":"2019-10-22T07:03:41Z","abstract_excerpt":"Given observations of the standard candles and the cosmic chronometers, we apply Pad\\'{e} parameterization to the comoving distance and the Hubble paramter to find how stringent the constraint is set to the curvature parameter by the data. A weak informative prior is introduced in the modeling process to keep the inference away from the singularities. Bayesian evidence for different order of Pad\\'{e} parameterizations is evaluated during the inference to select the most suitable parameterization in light of the data. The data we used prefer a parameterization form of comoving distance as $D_{0"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.09794","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1910.09794/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":"1910.09794","created_at":"2026-07-05T00:31:25.729395+00:00"},{"alias_kind":"arxiv_version","alias_value":"1910.09794v1","created_at":"2026-07-05T00:31:25.729395+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.09794","created_at":"2026-07-05T00:31:25.729395+00:00"},{"alias_kind":"pith_short_12","alias_value":"SK75HUL34C5B","created_at":"2026-07-05T00:31:25.729395+00:00"},{"alias_kind":"pith_short_16","alias_value":"SK75HUL34C5BYF22","created_at":"2026-07-05T00:31:25.729395+00:00"},{"alias_kind":"pith_short_8","alias_value":"SK75HUL3","created_at":"2026-07-05T00:31:25.729395+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/SK75HUL34C5BYF22IIYO5FTAIY","json":"https://pith.science/pith/SK75HUL34C5BYF22IIYO5FTAIY.json","graph_json":"https://pith.science/api/pith-number/SK75HUL34C5BYF22IIYO5FTAIY/graph.json","events_json":"https://pith.science/api/pith-number/SK75HUL34C5BYF22IIYO5FTAIY/events.json","paper":"https://pith.science/paper/SK75HUL3"},"agent_actions":{"view_html":"https://pith.science/pith/SK75HUL34C5BYF22IIYO5FTAIY","download_json":"https://pith.science/pith/SK75HUL34C5BYF22IIYO5FTAIY.json","view_paper":"https://pith.science/paper/SK75HUL3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1910.09794&json=true","fetch_graph":"https://pith.science/api/pith-number/SK75HUL34C5BYF22IIYO5FTAIY/graph.json","fetch_events":"https://pith.science/api/pith-number/SK75HUL34C5BYF22IIYO5FTAIY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SK75HUL34C5BYF22IIYO5FTAIY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SK75HUL34C5BYF22IIYO5FTAIY/action/storage_attestation","attest_author":"https://pith.science/pith/SK75HUL34C5BYF22IIYO5FTAIY/action/author_attestation","sign_citation":"https://pith.science/pith/SK75HUL34C5BYF22IIYO5FTAIY/action/citation_signature","submit_replication":"https://pith.science/pith/SK75HUL34C5BYF22IIYO5FTAIY/action/replication_record"}},"created_at":"2026-07-05T00:31:25.729395+00:00","updated_at":"2026-07-05T00:31:25.729395+00:00"}