{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:XGUQTB5QUKYMBCZUHRODXNT3BS","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":"d18e2211a75ff19aaff1c412ef8e57f197382dd8c900308a3ed6dac31eea45f8","cross_cats_sorted":["math.AP"],"license":"","primary_cat":"math.DG","submitted_at":"2001-02-19T15:08:15Z","title_canon_sha256":"bc9af7af3605c1bf17d2254b02e4dfde8799e1c5da64285c2081e306505a59fa"},"schema_version":"1.0","source":{"id":"math/0102148","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0102148","created_at":"2026-05-18T03:00:59Z"},{"alias_kind":"arxiv_version","alias_value":"math/0102148v2","created_at":"2026-05-18T03:00:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0102148","created_at":"2026-05-18T03:00:59Z"},{"alias_kind":"pith_short_12","alias_value":"XGUQTB5QUKYM","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"XGUQTB5QUKYMBCZU","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"XGUQTB5Q","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:104e6f94d6c04add4dd022745e126486abb794097ca84100c01e8d2b2e4d8dfa","target":"graph","created_at":"2026-05-18T03:00:59Z","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":"We prove an existence theorem for convex hypersurfaces of prescribed Gauss curvature in the complement of a compact set in Euclidean space which are close to a cone.","authors_text":"Felix Finster, Oliver C. Schnuerer","cross_cats":["math.AP"],"headline":"","license":"","primary_cat":"math.DG","submitted_at":"2001-02-19T15:08:15Z","title":"Hypersurfaces of Prescribed Gauss Curvature in Exterior Domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0102148","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:ded0252afdacd8d65d3a4e12ae2386b5bce01398a48e7a788ce9a060942fe63b","target":"record","created_at":"2026-05-18T03:00:59Z","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":"d18e2211a75ff19aaff1c412ef8e57f197382dd8c900308a3ed6dac31eea45f8","cross_cats_sorted":["math.AP"],"license":"","primary_cat":"math.DG","submitted_at":"2001-02-19T15:08:15Z","title_canon_sha256":"bc9af7af3605c1bf17d2254b02e4dfde8799e1c5da64285c2081e306505a59fa"},"schema_version":"1.0","source":{"id":"math/0102148","kind":"arxiv","version":2}},"canonical_sha256":"b9a90987b0a2b0c08b343c5c3bb67b0c88bd24a2b0fa083d9dc360165889d2b9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b9a90987b0a2b0c08b343c5c3bb67b0c88bd24a2b0fa083d9dc360165889d2b9","first_computed_at":"2026-05-18T03:00:59.880360Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:00:59.880360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bD76/SHx5LSgPe0NUdULGwqB8gGDjbvBT5pA8FDszsCuqC+BOAGOJq31gjtqo87wsWftw0TPbjrBaT9y3WOdDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:00:59.881121Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0102148","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ded0252afdacd8d65d3a4e12ae2386b5bce01398a48e7a788ce9a060942fe63b","sha256:104e6f94d6c04add4dd022745e126486abb794097ca84100c01e8d2b2e4d8dfa"],"state_sha256":"8a092d16533a5f6a8370b40efe3fa7bcb3cfb24d656078f4d50be8a77934adef"}