{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:MLWYZNJFMLW7KCLGPDMSQPBRYK","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":"f9f4d16c28b98e6dbfa4badefb819122c768c8636a547fe6dc424c5a1a1cddbe","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2023-07-19T21:13:56Z","title_canon_sha256":"d15c5a832d25fb25f2142f3d471386db3d8e46f0f380fd857545b54edc432e01"},"schema_version":"1.0","source":{"id":"2307.10461","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.10461","created_at":"2026-05-20T14:03:16Z"},{"alias_kind":"arxiv_version","alias_value":"2307.10461v4","created_at":"2026-05-20T14:03:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.10461","created_at":"2026-05-20T14:03:16Z"},{"alias_kind":"pith_short_12","alias_value":"MLWYZNJFMLW7","created_at":"2026-05-20T14:03:16Z"},{"alias_kind":"pith_short_16","alias_value":"MLWYZNJFMLW7KCLG","created_at":"2026-05-20T14:03:16Z"},{"alias_kind":"pith_short_8","alias_value":"MLWYZNJF","created_at":"2026-05-20T14:03:16Z"}],"graph_snapshots":[{"event_id":"sha256:a91e67d6b3634bf8acc35fdf009b49fda0ebb9bfb583ace5c2c93baf969c59b7","target":"graph","created_at":"2026-05-20T14:03:16Z","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/2307.10461/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We generalize techniques by Coskun, Riedl, and Yeong, and obtain an almost optimal bound on the degree for the algebraic hyperbolicity of very general hypersurfaces in rational homogeneous varieties. As examples, we work out the cases of very general hypersurfaces in Grassmannians and products therefore, orthogonal and symplectic Grassmannians, and flag varieties.","authors_text":"Lucas Mioranci","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2023-07-19T21:13:56Z","title":"Algebraic hyperbolicity of very general hypersurfaces in homogeneous varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.10461","kind":"arxiv","version":4},"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:fbfb907445e7f5e38888887d096d3f045be8541935726084ff1ec3e26711f534","target":"record","created_at":"2026-05-20T14:03:16Z","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":"f9f4d16c28b98e6dbfa4badefb819122c768c8636a547fe6dc424c5a1a1cddbe","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2023-07-19T21:13:56Z","title_canon_sha256":"d15c5a832d25fb25f2142f3d471386db3d8e46f0f380fd857545b54edc432e01"},"schema_version":"1.0","source":{"id":"2307.10461","kind":"arxiv","version":4}},"canonical_sha256":"62ed8cb52562edf5096678d9283c31c2abe47bda56e85e9c7c0a0ec23ab179cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"62ed8cb52562edf5096678d9283c31c2abe47bda56e85e9c7c0a0ec23ab179cc","first_computed_at":"2026-05-20T14:03:16.755809Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T14:03:16.755809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bT15TT9OOBuChAVkLE5oZiIS08n8e518QgSXyqYanWHeQWwYIbov8CJHyk8dS+tuisp87e6PCEsgpff4tlntBA==","signature_status":"signed_v1","signed_at":"2026-05-20T14:03:16.756281Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.10461","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fbfb907445e7f5e38888887d096d3f045be8541935726084ff1ec3e26711f534","sha256:a91e67d6b3634bf8acc35fdf009b49fda0ebb9bfb583ace5c2c93baf969c59b7"],"state_sha256":"32b10439a6245bdf07454e20823a59005710f613bda17214bfbf5217b89adb2a"}