{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MISYTRXYXJRVOIRGAYRIOGQW2M","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":"a41767b2654db1e8397a250757e0e2fbac33e4e9a2b74e91183b1f1b92c5df9b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-06-06T18:06:48Z","title_canon_sha256":"ec72e0aa3b9a133ad4630b5279a8391143ca87cbfb7fbfa6dce9e91ac27f5628"},"schema_version":"1.0","source":{"id":"1806.02364","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.02364","created_at":"2026-05-18T00:13:57Z"},{"alias_kind":"arxiv_version","alias_value":"1806.02364v1","created_at":"2026-05-18T00:13:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.02364","created_at":"2026-05-18T00:13:57Z"},{"alias_kind":"pith_short_12","alias_value":"MISYTRXYXJRV","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"MISYTRXYXJRVOIRG","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"MISYTRXY","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:3ff9f15d5c9f257eb82118a43616f5991ea4a9963999c5d940c2c25240e8da27","target":"graph","created_at":"2026-05-18T00:13:57Z","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 further develop a Grassmannian technique used to prove results about very general hypersurfaces and present three applications. First, we provide a short proof of the Kobayashi Conjecture given previous results on the Green-Griffiths-Lang Conjecture. Second, we characterize the dimension of the space of Chow-equivalent points on a very general hypersurface, proving the remaining cases of a conjecture of Chen, Lewis and Sheng and providing a short, alternate proof for many of the already known cases. Finally, we relate Seshadri constants of very general points to Seshadri const","authors_text":"David Yang, Eric Riedl","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-06-06T18:06:48Z","title":"Applications of a grassmannian technique in hypersurfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.02364","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":"sha256:0eb02918d57c16d2454e1800ab8fefb0e07a3570536c849903b1c90b94285f70","target":"record","created_at":"2026-05-18T00:13:57Z","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":"a41767b2654db1e8397a250757e0e2fbac33e4e9a2b74e91183b1f1b92c5df9b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-06-06T18:06:48Z","title_canon_sha256":"ec72e0aa3b9a133ad4630b5279a8391143ca87cbfb7fbfa6dce9e91ac27f5628"},"schema_version":"1.0","source":{"id":"1806.02364","kind":"arxiv","version":1}},"canonical_sha256":"622589c6f8ba635722260622871a16d32cbd8c06189f0a957775cf6eaa68bc82","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"622589c6f8ba635722260622871a16d32cbd8c06189f0a957775cf6eaa68bc82","first_computed_at":"2026-05-18T00:13:57.125701Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:57.125701Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"57LFOuttD3dHuU/aZfD/gJzCAbWwnLUhYPG5UkX8tGon4+sctHzApr5/j/90zK1GOo+ha/40E7ADc/FisaqxDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:57.126450Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.02364","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0eb02918d57c16d2454e1800ab8fefb0e07a3570536c849903b1c90b94285f70","sha256:3ff9f15d5c9f257eb82118a43616f5991ea4a9963999c5d940c2c25240e8da27"],"state_sha256":"a4c029fcf0203a9001a7d6c0efe6571a0cfcedea09625a5446a34d13b22b270e"}