{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:U4GFN4UJKZLHFZ5HMFIO4EWJPE","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":"509a499b1b8710cb6591349492fe72626251b7e2d349a51488629c04ac1b1c09","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-11-17T10:21:30Z","title_canon_sha256":"70ddd20984e66fa952abe8119fc0e23025848693bd58eb64588f1cc106f15673"},"schema_version":"1.0","source":{"id":"1211.4109","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.4109","created_at":"2026-05-18T00:45:22Z"},{"alias_kind":"arxiv_version","alias_value":"1211.4109v1","created_at":"2026-05-18T00:45:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.4109","created_at":"2026-05-18T00:45:22Z"},{"alias_kind":"pith_short_12","alias_value":"U4GFN4UJKZLH","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"U4GFN4UJKZLHFZ5H","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"U4GFN4UJ","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:aee11671b0869e896802702af5cec0f2c288015f69417fb60f725bc5f6c7edd5","target":"graph","created_at":"2026-05-18T00:45:22Z","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":"In this paper, we use the inverse curvature flow to prove a sharp geometric inequality on star-shaped and two-convex hypersurface in hyperbolic space.","authors_text":"Changwei Xiong, Haizhong Li, Yong Wei","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-11-17T10:21:30Z","title":"A geometric inequality on hypersurface in hyperbolic space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.4109","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:ab7821795700825f9ded1adf6cf9b84f4240520e28dd32829f9c29bd000a2082","target":"record","created_at":"2026-05-18T00:45:22Z","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":"509a499b1b8710cb6591349492fe72626251b7e2d349a51488629c04ac1b1c09","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-11-17T10:21:30Z","title_canon_sha256":"70ddd20984e66fa952abe8119fc0e23025848693bd58eb64588f1cc106f15673"},"schema_version":"1.0","source":{"id":"1211.4109","kind":"arxiv","version":1}},"canonical_sha256":"a70c56f289565672e7a76150ee12c979026bf07ece01f2182df7a6c2bdc3f48f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a70c56f289565672e7a76150ee12c979026bf07ece01f2182df7a6c2bdc3f48f","first_computed_at":"2026-05-18T00:45:22.866092Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:22.866092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AKQncrjkDwjYdzGeUJI98b4mXoDVH/RIFs2kmkMltq+F/mShjWuEZWKI+3FURmS9YiF9ToYgXVztoNgAGqS/AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:22.866539Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.4109","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab7821795700825f9ded1adf6cf9b84f4240520e28dd32829f9c29bd000a2082","sha256:aee11671b0869e896802702af5cec0f2c288015f69417fb60f725bc5f6c7edd5"],"state_sha256":"d18d2eb0473d427445fe4a208d517bd03f017c5f1fd90f4d0e0033b50316c259"}