{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:PBMC37334VPRGME5N2EBMH6DOI","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":"aafc7373256ca3f226d647bbcae8e690993466bb6ecd4b942aa85464f3e9d7bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-10-10T16:52:25Z","title_canon_sha256":"50dc51e967757ebb4ba42cde0a5414c63a0ddca78248a8df7b3c424ae2868830"},"schema_version":"1.0","source":{"id":"1210.2983","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.2983","created_at":"2026-05-18T01:28:21Z"},{"alias_kind":"arxiv_version","alias_value":"1210.2983v1","created_at":"2026-05-18T01:28:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.2983","created_at":"2026-05-18T01:28:21Z"},{"alias_kind":"pith_short_12","alias_value":"PBMC37334VPR","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PBMC37334VPRGME5","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PBMC3733","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:ad08edc66bc9686453956a9701df3a616956876acfc73045a6fa50f19967b0cf","target":"graph","created_at":"2026-05-18T01:28:21Z","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 study extensions and generalizations of the Schmidt Subspace Theorem in various settings. In particular, we prove results for algebraic points of bounded degree, giving a sharp version of Schmidt's theorem for quadratic points in the projective plane and a more general result that resolves a conjecture of Schlickewei.","authors_text":"Aaron Levin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-10-10T16:52:25Z","title":"On the Schmidt Subspace Theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.2983","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":"sha256:8f4d6a2481b1e7488dad63f62e70c338adf27c15617671bb15f42f075523c714","target":"record","created_at":"2026-05-18T01:28:21Z","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":"aafc7373256ca3f226d647bbcae8e690993466bb6ecd4b942aa85464f3e9d7bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-10-10T16:52:25Z","title_canon_sha256":"50dc51e967757ebb4ba42cde0a5414c63a0ddca78248a8df7b3c424ae2868830"},"schema_version":"1.0","source":{"id":"1210.2983","kind":"arxiv","version":1}},"canonical_sha256":"78582dff7be55f13309d6e88161fc37218e8cdbf4f19d0393ac8ced8a4998dc6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"78582dff7be55f13309d6e88161fc37218e8cdbf4f19d0393ac8ced8a4998dc6","first_computed_at":"2026-05-18T01:28:21.509762Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:28:21.509762Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oI4L4AmS2zX6yJTFrx71arEX8sl7mu1oTzZRU+ciB4dBX3b5scrt/fpOiypRpm7BGqrVT9ddJ5evqWlOSL45DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:28:21.510495Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.2983","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8f4d6a2481b1e7488dad63f62e70c338adf27c15617671bb15f42f075523c714","sha256:ad08edc66bc9686453956a9701df3a616956876acfc73045a6fa50f19967b0cf"],"state_sha256":"aa2b92756ccd1e49841ec2012a69cb7ddfb1bdd91b2f28fde745241f7dbcb36e"}