{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:X4KUUVVLAQZSDT2FDD5ILMBWU2","short_pith_number":"pith:X4KUUVVL","canonical_record":{"source":{"id":"1505.01477","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-05-06T19:54:19Z","cross_cats_sorted":[],"title_canon_sha256":"052ea716670efc8f183ed9ad62980632a277c42ad57ec8c76ef907641b483e90","abstract_canon_sha256":"15515f79bafbd310252ce2abc5a67f8d6d921718ec1518ea6a422712c80130d4"},"schema_version":"1.0"},"canonical_sha256":"bf154a56ab043321cf4518fa85b036a695ab85f25896a02c35b863996724e8e5","source":{"kind":"arxiv","id":"1505.01477","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.01477","created_at":"2026-05-17T23:42:14Z"},{"alias_kind":"arxiv_version","alias_value":"1505.01477v2","created_at":"2026-05-17T23:42:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.01477","created_at":"2026-05-17T23:42:14Z"},{"alias_kind":"pith_short_12","alias_value":"X4KUUVVLAQZS","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"X4KUUVVLAQZSDT2F","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"X4KUUVVL","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:X4KUUVVLAQZSDT2FDD5ILMBWU2","target":"record","payload":{"canonical_record":{"source":{"id":"1505.01477","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-05-06T19:54:19Z","cross_cats_sorted":[],"title_canon_sha256":"052ea716670efc8f183ed9ad62980632a277c42ad57ec8c76ef907641b483e90","abstract_canon_sha256":"15515f79bafbd310252ce2abc5a67f8d6d921718ec1518ea6a422712c80130d4"},"schema_version":"1.0"},"canonical_sha256":"bf154a56ab043321cf4518fa85b036a695ab85f25896a02c35b863996724e8e5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:14.544438Z","signature_b64":"fNaDWZ1amdG6Kv1q1zD5VthFxWPmU5UuLbh9G565x7B8iNy43+Q/jos8yc0zGlAToaySxsDmyodm/eXVJSYYAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf154a56ab043321cf4518fa85b036a695ab85f25896a02c35b863996724e8e5","last_reissued_at":"2026-05-17T23:42:14.543756Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:14.543756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.01477","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:42:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P74HQDLBcOtGx1ARx7hii4Rk6eRPHcaSXllLhUmPKgVNRkEpSfsIVauIydk+LLgDCVpOrC2N6yljHTn7/C8UAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:21:51.200120Z"},"content_sha256":"15b9d4f1b6cc1ece39238d00c135be887f915f7d2ae39592a349263c1071ee09","schema_version":"1.0","event_id":"sha256:15b9d4f1b6cc1ece39238d00c135be887f915f7d2ae39592a349263c1071ee09"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:X4KUUVVLAQZSDT2FDD5ILMBWU2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nef cycles on some hyperkahler fourfolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"John Christian Ottem","submitted_at":"2015-05-06T19:54:19Z","abstract_excerpt":"We study the cones of surfaces on varieties of lines on cubic fourfolds and Hilbert schemes of points on K3 surfaces. From this we obtain new examples of nef cycles which fail to be pseudoeffective."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.01477","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:42:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aJTMWHbfiAPK6c6nj1zeyaRKfCqlLhSVaGdhDLGwYL5eDojdVFIDmRKmYDUVnfaq0whJmeUOgrCngsPNQfJdDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:21:51.200788Z"},"content_sha256":"ca55e571302c1c0d573ea76c3afb259a3840232178b5f515426673cecb231333","schema_version":"1.0","event_id":"sha256:ca55e571302c1c0d573ea76c3afb259a3840232178b5f515426673cecb231333"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X4KUUVVLAQZSDT2FDD5ILMBWU2/bundle.json","state_url":"https://pith.science/pith/X4KUUVVLAQZSDT2FDD5ILMBWU2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X4KUUVVLAQZSDT2FDD5ILMBWU2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T21:21:51Z","links":{"resolver":"https://pith.science/pith/X4KUUVVLAQZSDT2FDD5ILMBWU2","bundle":"https://pith.science/pith/X4KUUVVLAQZSDT2FDD5ILMBWU2/bundle.json","state":"https://pith.science/pith/X4KUUVVLAQZSDT2FDD5ILMBWU2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X4KUUVVLAQZSDT2FDD5ILMBWU2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:X4KUUVVLAQZSDT2FDD5ILMBWU2","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":"15515f79bafbd310252ce2abc5a67f8d6d921718ec1518ea6a422712c80130d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-05-06T19:54:19Z","title_canon_sha256":"052ea716670efc8f183ed9ad62980632a277c42ad57ec8c76ef907641b483e90"},"schema_version":"1.0","source":{"id":"1505.01477","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.01477","created_at":"2026-05-17T23:42:14Z"},{"alias_kind":"arxiv_version","alias_value":"1505.01477v2","created_at":"2026-05-17T23:42:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.01477","created_at":"2026-05-17T23:42:14Z"},{"alias_kind":"pith_short_12","alias_value":"X4KUUVVLAQZS","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"X4KUUVVLAQZSDT2F","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"X4KUUVVL","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:ca55e571302c1c0d573ea76c3afb259a3840232178b5f515426673cecb231333","target":"graph","created_at":"2026-05-17T23:42:14Z","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 the cones of surfaces on varieties of lines on cubic fourfolds and Hilbert schemes of points on K3 surfaces. From this we obtain new examples of nef cycles which fail to be pseudoeffective.","authors_text":"John Christian Ottem","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-05-06T19:54:19Z","title":"Nef cycles on some hyperkahler fourfolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.01477","kind":"arxiv","version":2},"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":"sha256:15b9d4f1b6cc1ece39238d00c135be887f915f7d2ae39592a349263c1071ee09","target":"record","created_at":"2026-05-17T23:42:14Z","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":"15515f79bafbd310252ce2abc5a67f8d6d921718ec1518ea6a422712c80130d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-05-06T19:54:19Z","title_canon_sha256":"052ea716670efc8f183ed9ad62980632a277c42ad57ec8c76ef907641b483e90"},"schema_version":"1.0","source":{"id":"1505.01477","kind":"arxiv","version":2}},"canonical_sha256":"bf154a56ab043321cf4518fa85b036a695ab85f25896a02c35b863996724e8e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf154a56ab043321cf4518fa85b036a695ab85f25896a02c35b863996724e8e5","first_computed_at":"2026-05-17T23:42:14.543756Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:14.543756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fNaDWZ1amdG6Kv1q1zD5VthFxWPmU5UuLbh9G565x7B8iNy43+Q/jos8yc0zGlAToaySxsDmyodm/eXVJSYYAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:14.544438Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.01477","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15b9d4f1b6cc1ece39238d00c135be887f915f7d2ae39592a349263c1071ee09","sha256:ca55e571302c1c0d573ea76c3afb259a3840232178b5f515426673cecb231333"],"state_sha256":"eca6f83cdc1fa06eadfe00fc0a3d8874e814fdd9cec02860efd2da3e9fe428cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GV7/7aRWspBZ7Q4L8iWF67nEYGCn1T1wZDx5+1tGu774dlEniqzpoaLhfDJJbvJZDhrEhi+8cL2P+nAIdaskAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T21:21:51.204171Z","bundle_sha256":"13b8bd72d57f69daaea1af60bd4c5cc29156c3f6901af45842d75f76a0da492a"}}