{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:345EMTJ3WTLPBFHAEQLGCZYSRS","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":"ef1242eb869728b4582763937eba06395dfa25399e25ec2dd3cc0a35f5a34a4a","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-01-24T14:37:35Z","title_canon_sha256":"40f876b26c88a84a3dd2e15d8560a805eb8a056ecea0b85415e0e2fa64a5e3ec"},"schema_version":"1.0","source":{"id":"1801.08001","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.08001","created_at":"2026-05-18T00:22:22Z"},{"alias_kind":"arxiv_version","alias_value":"1801.08001v1","created_at":"2026-05-18T00:22:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.08001","created_at":"2026-05-18T00:22:22Z"},{"alias_kind":"pith_short_12","alias_value":"345EMTJ3WTLP","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"345EMTJ3WTLPBFHA","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"345EMTJ3","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:7bf854c33992215ecfa2f6cf6adf72d2475b7c9658dcf2dd80be2c7af647d03b","target":"graph","created_at":"2026-05-18T00:22:22Z","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":"Model-independent constraints on the spatial curvature are not only closely related to important problems such as the evolution of the Universe and properties of dark energy, but also provide a test of the validity of the fundamental Copernican principle. In this paper, with the distance sum rule in the Friedmann-Lema\\^{i}tre-Robertson-Walker metric, we achieve model-independent measurements of the spatial curvature from the latest type Ia supernovae and strong gravitational lensing (SGL) observations. We find that a spatially closed Universe is preferred. Moreover, by considering different ki","authors_text":"Guo-Jian Wang, Kai Liao, Xuheng Ding, Zhengxiang Li, Zong-Hong Zhu","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-01-24T14:37:35Z","title":"Curvature from strong gravitational lensing: a spatially closed Universe or systematics?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.08001","kind":"arxiv","version":1},"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":"sha256:8da3dbf1db12e56ec75fbe99061aad2d6ee29a07df801c4da1de5c8ee68f81f6","target":"record","created_at":"2026-05-18T00:22:22Z","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":"ef1242eb869728b4582763937eba06395dfa25399e25ec2dd3cc0a35f5a34a4a","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-01-24T14:37:35Z","title_canon_sha256":"40f876b26c88a84a3dd2e15d8560a805eb8a056ecea0b85415e0e2fa64a5e3ec"},"schema_version":"1.0","source":{"id":"1801.08001","kind":"arxiv","version":1}},"canonical_sha256":"df3a464d3bb4d6f094e024166167128c90396c0c8448b8c0a8b108a0ddfb2d8e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"df3a464d3bb4d6f094e024166167128c90396c0c8448b8c0a8b108a0ddfb2d8e","first_computed_at":"2026-05-18T00:22:22.922415Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:22.922415Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PBpTBNClTPCt6L6JFufTjTRKA3Y+AFkyqB777UG7R3Odscf4qNjECFiRjqGuKblCs8W5m9TxAGCrBiNgn1yFAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:22.922877Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.08001","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8da3dbf1db12e56ec75fbe99061aad2d6ee29a07df801c4da1de5c8ee68f81f6","sha256:7bf854c33992215ecfa2f6cf6adf72d2475b7c9658dcf2dd80be2c7af647d03b"],"state_sha256":"beec4aefb1cfc2a9cd8087758adbf66e9ab3c0daa2b1ee93da98a53d315fa30b"}