{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:WRPVMTS3LKDF42PAYZXJTJJ5I6","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":"59c57fefdbebec2437f18dacf5213b90d0c0681d9a523793f7acc04bcec7ed92","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2023-10-12T11:48:52Z","title_canon_sha256":"4c3a43e6f404a03201986bfff99e429ab16ee5214b5a115a1386aba05a6ee8c5"},"schema_version":"1.0","source":{"id":"2310.08245","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.08245","created_at":"2026-07-05T07:42:20Z"},{"alias_kind":"arxiv_version","alias_value":"2310.08245v3","created_at":"2026-07-05T07:42:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.08245","created_at":"2026-07-05T07:42:20Z"},{"alias_kind":"pith_short_12","alias_value":"WRPVMTS3LKDF","created_at":"2026-07-05T07:42:20Z"},{"alias_kind":"pith_short_16","alias_value":"WRPVMTS3LKDF42PA","created_at":"2026-07-05T07:42:20Z"},{"alias_kind":"pith_short_8","alias_value":"WRPVMTS3","created_at":"2026-07-05T07:42:20Z"}],"graph_snapshots":[{"event_id":"sha256:d4758ae940c5fcff73c9f8082017bc42d815c18c3952ce7108a011374de555bd","target":"graph","created_at":"2026-07-05T07:42:20Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2310.08245/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work we establish a sharp geometric inequality for closed hypersurfaces in complete noncompact Riemannian manifolds with asymptotically nonnegative curvature using standard comparison methods in Riemannian Geometry. These methods have been applied in a recent work by Xiaodong Wang to greatly simplify the proof of a Willmore-type inequality in complete noncompact Riemannian manifolds of nonnegative Ricci curvature, which was first proved by Agostiniani, Fagagnolo and Mazzieri.","authors_text":"Adam Rudnik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2023-10-12T11:48:52Z","title":"A sharp geometric inequality for closed hypersurfaces in manifolds with asymptotically nonnegative curvature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.08245","kind":"arxiv","version":3},"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:e66d59e2c97e5b495a19c7a23c1ea47745058080112710158d00a8e0febee209","target":"record","created_at":"2026-07-05T07:42:20Z","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":"59c57fefdbebec2437f18dacf5213b90d0c0681d9a523793f7acc04bcec7ed92","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2023-10-12T11:48:52Z","title_canon_sha256":"4c3a43e6f404a03201986bfff99e429ab16ee5214b5a115a1386aba05a6ee8c5"},"schema_version":"1.0","source":{"id":"2310.08245","kind":"arxiv","version":3}},"canonical_sha256":"b45f564e5b5a865e69e0c66e99a53d47ba4224eac2070b2b8b0eb3d65df6cd5a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b45f564e5b5a865e69e0c66e99a53d47ba4224eac2070b2b8b0eb3d65df6cd5a","first_computed_at":"2026-07-05T07:42:20.633422Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:42:20.633422Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1b9kwWsjxSj34ioPszj7WE5HdUQA/i2yhhQtEeIo9BGetImXL6/te67yw7+hW2tao1Q6A2kJ4vEzZLOyIH5ECw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:42:20.633991Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.08245","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e66d59e2c97e5b495a19c7a23c1ea47745058080112710158d00a8e0febee209","sha256:d4758ae940c5fcff73c9f8082017bc42d815c18c3952ce7108a011374de555bd"],"state_sha256":"6a88fa9a858a94c4aa24e0434e1c404439af46aef4e69bd7b3d45d39164cc0d3"}