{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QWIV4ZUQWOX6FEIV7MMMLLRYDQ","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":"e50e6f3627a90050a02ed886c82c60e885d362e67d598753c8d0263593adcd62","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-11-03T07:54:20Z","title_canon_sha256":"b26d367aa1ba3078d36ee2168e1e92a041dc0c2a6a1a4d414e900b7c958931a2"},"schema_version":"1.0","source":{"id":"1611.00904","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.00904","created_at":"2026-05-18T00:46:39Z"},{"alias_kind":"arxiv_version","alias_value":"1611.00904v2","created_at":"2026-05-18T00:46:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.00904","created_at":"2026-05-18T00:46:39Z"},{"alias_kind":"pith_short_12","alias_value":"QWIV4ZUQWOX6","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"QWIV4ZUQWOX6FEIV","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"QWIV4ZUQ","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:3a711d50b1e0c589bd0ad149aa7534d35fa2253bcd35023bb4cb7d6cf803ed15","target":"graph","created_at":"2026-05-18T00:46:39Z","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":"In this paper, we propose an improved model-independent method to constrain the cosmic curvature by combining the most recent Hubble parameter $H(z)$ and supernovae Ia (SNe Ia) data. Based on the $H(z)$ data, we first use the model-independent smoothing technique, Gaussian processes, to construct distance modulus $\\mu_{H}(z)$, which is susceptible to the cosmic curvature parameter $\\Omega_{k}$. In contrary to previous studies, the light-curve fitting parameters, which account for distance estimation of SN ($\\mu_{SN}(z)$), are set free to investigate whether $\\Omega_{k}$ has a dependence on the","authors_text":"Jun-Jie Wei, Xue-Feng Wu","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-11-03T07:54:20Z","title":"An Improved Method to Measure the Cosmic Curvature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.00904","kind":"arxiv","version":2},"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":"sha256:26cb277ca4f9a46647a61bd1971d786d2edec7c153debb5b65033c893a6b73e4","target":"record","created_at":"2026-05-18T00:46:39Z","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":"e50e6f3627a90050a02ed886c82c60e885d362e67d598753c8d0263593adcd62","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-11-03T07:54:20Z","title_canon_sha256":"b26d367aa1ba3078d36ee2168e1e92a041dc0c2a6a1a4d414e900b7c958931a2"},"schema_version":"1.0","source":{"id":"1611.00904","kind":"arxiv","version":2}},"canonical_sha256":"85915e6690b3afe29115fb18c5ae381c1b7ec1bbb18b7d5ff399fabc084cf04d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85915e6690b3afe29115fb18c5ae381c1b7ec1bbb18b7d5ff399fabc084cf04d","first_computed_at":"2026-05-18T00:46:39.241995Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:39.241995Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iZtIkyF0nNuH/YBsnDa9gx2iQib2V996kKXVjdE+mDVCNLMUGmpIPXzLzYa/QLH2Tcfj/ZNmFFdkrQBSyXmKBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:39.242717Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.00904","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26cb277ca4f9a46647a61bd1971d786d2edec7c153debb5b65033c893a6b73e4","sha256:3a711d50b1e0c589bd0ad149aa7534d35fa2253bcd35023bb4cb7d6cf803ed15"],"state_sha256":"e3109954a7a1e6800a633284155b3377ed87700a97ccfab7b8ab92d5230a2d57"}