{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:EYNKXDBAYBYITFKSA3MQGXJQXN","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":"425b7429ecc449eb0dcaaa42e2d18cdcfe2ad55b5296e8f55ae727cc42251aaa","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-07-01T14:51:44Z","title_canon_sha256":"f611ec8556a5b76a3898ff365b83a98d584b2bbc0ba3e812bef15685d65197c5"},"schema_version":"1.0","source":{"id":"1307.0393","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.0393","created_at":"2026-05-18T02:55:39Z"},{"alias_kind":"arxiv_version","alias_value":"1307.0393v3","created_at":"2026-05-18T02:55:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.0393","created_at":"2026-05-18T02:55:39Z"},{"alias_kind":"pith_short_12","alias_value":"EYNKXDBAYBYI","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EYNKXDBAYBYITFKS","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EYNKXDBA","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:bfedf53ded1ae7ad536d671ee94c13ed8a85fa2908f93906260ef4cbb355dcdc","target":"graph","created_at":"2026-05-18T02:55:39Z","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 the present paper we prove that, on a hyperk\\\"ahler manifold, walls of the k\\\"ahler cone and extremal rays of the Mori cone are determined by all divisors satisfying certain numerical conditions.","authors_text":"Giovanni Mongardi","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-07-01T14:51:44Z","title":"A note on the K\\\"ahler and Mori cones of hyperk\\\"ahler manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.0393","kind":"arxiv","version":3},"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:b6efccc80e90ba15abab06a514395f3f8d43b3a1ad19bbce9189874594f9f915","target":"record","created_at":"2026-05-18T02:55:39Z","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":"425b7429ecc449eb0dcaaa42e2d18cdcfe2ad55b5296e8f55ae727cc42251aaa","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-07-01T14:51:44Z","title_canon_sha256":"f611ec8556a5b76a3898ff365b83a98d584b2bbc0ba3e812bef15685d65197c5"},"schema_version":"1.0","source":{"id":"1307.0393","kind":"arxiv","version":3}},"canonical_sha256":"261aab8c20c07089955206d9035d30bb55d29077cdf7d6ab6e5d94c9e42c64cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"261aab8c20c07089955206d9035d30bb55d29077cdf7d6ab6e5d94c9e42c64cb","first_computed_at":"2026-05-18T02:55:39.144169Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:39.144169Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jtPYqHqw5xkxbpmzqJhA9b538jbeKSsI68PlNBLnzdUkLNrxFJlFv1Y1Aw8M0Uo3xVtZ4qV4ErNRI+HNHdGTCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:39.144774Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.0393","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b6efccc80e90ba15abab06a514395f3f8d43b3a1ad19bbce9189874594f9f915","sha256:bfedf53ded1ae7ad536d671ee94c13ed8a85fa2908f93906260ef4cbb355dcdc"],"state_sha256":"b550c88e37ca3668610f8b6784e1007c37d89ee6aa9e8861d29e11b8f4632df2"}