{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:T5GQALXY5LZRKX3HAAM4ZZR472","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":"c2406e6526d07fd85cddd0ecde5421abb8ad15658306cfab2542865c272dd842","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-06-27T10:03:54Z","title_canon_sha256":"773c5c9ced8393c4ab6b3e10245cbd712d652be9bc9ed80416647ca3a6f32e21"},"schema_version":"1.0","source":{"id":"1906.11528","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.11528","created_at":"2026-05-17T23:42:04Z"},{"alias_kind":"arxiv_version","alias_value":"1906.11528v1","created_at":"2026-05-17T23:42:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.11528","created_at":"2026-05-17T23:42:04Z"},{"alias_kind":"pith_short_12","alias_value":"T5GQALXY5LZR","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"T5GQALXY5LZRKX3H","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"T5GQALXY","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:a57052381652cf8a48a4ee9cc4b32a9bfbefe328160acd720b66a68610da0ec1","target":"graph","created_at":"2026-05-17T23:42:04Z","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":"Let $X$ be a Hyperk\\\"ahler manifold, and let $H$ be an ample divisor on $X$. We give a lower bound in terms of the Beauville-Bogomolov form $q(H)$ for the twisted cotangent bundle $\\Omega_X \\otimes H$ to be pseudoeffective. If $X$ is deformation equivalent to the Hilbert scheme of a K3 surface the lower bound can be written down explicitly and we study its optimality.","authors_text":"Andreas H\\\"oring, Fabrizio Anella","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-06-27T10:03:54Z","title":"Twisted cotangent bundles of Hyperk\\\"ahler manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.11528","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":"sha256:5cdba1b31faa31fb5e847010a567f749c0789cbdc74a63fe5006600825aa5ab8","target":"record","created_at":"2026-05-17T23:42:04Z","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":"c2406e6526d07fd85cddd0ecde5421abb8ad15658306cfab2542865c272dd842","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-06-27T10:03:54Z","title_canon_sha256":"773c5c9ced8393c4ab6b3e10245cbd712d652be9bc9ed80416647ca3a6f32e21"},"schema_version":"1.0","source":{"id":"1906.11528","kind":"arxiv","version":1}},"canonical_sha256":"9f4d002ef8eaf3155f670019cce63cfeb57658924418f6c5cf4462e64b61b7be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9f4d002ef8eaf3155f670019cce63cfeb57658924418f6c5cf4462e64b61b7be","first_computed_at":"2026-05-17T23:42:04.555526Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:04.555526Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1PQ6rNFD88yk6Fm5hPZo92Bi/9WjrQSTfGGZdCyjfU82anwOHpfRB1OEEm4axgAlV3J9akIhIIONsefSIVKfCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:04.556029Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.11528","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5cdba1b31faa31fb5e847010a567f749c0789cbdc74a63fe5006600825aa5ab8","sha256:a57052381652cf8a48a4ee9cc4b32a9bfbefe328160acd720b66a68610da0ec1"],"state_sha256":"2d02bee216c895ed576af7f5ea607562ba9e77e87e300893d87620db50d4171f"}