{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GRA5E5R4ZOHK57R7BZS6ZNYWDV","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":"ee2465619f6ba6edbbd1bb00ce58f91bbc5050daef14093fc7f580e6e1bd4f6f","cross_cats_sorted":["math.AG","math.CV","math.DS","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-05-28T10:49:06Z","title_canon_sha256":"e445efac682dcc3fb35db13efec8da3141f441dd3af1fd91b6952ca3645c1196"},"schema_version":"1.0","source":{"id":"1805.10862","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.10862","created_at":"2026-05-18T00:10:10Z"},{"alias_kind":"arxiv_version","alias_value":"1805.10862v3","created_at":"2026-05-18T00:10:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.10862","created_at":"2026-05-18T00:10:10Z"},{"alias_kind":"pith_short_12","alias_value":"GRA5E5R4ZOHK","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GRA5E5R4ZOHK57R7","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GRA5E5R4","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:1cae9bbd2013c873e4706630e36c8960320f41ddc8341215a17121bcf847edcb","target":"graph","created_at":"2026-05-18T00:10:10Z","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 article, we show the existence of a nontrivial Riemann surface lamination embedded in $\\mathbb{CP}^2$ by using Donaldson's construction of asymptotically holomorphic submanifolds. Further, the lamination we obtain has the property that each leaf is a totally geodesic submanifold of $\\mathbb{CP}^2 $ with respect to the Fubini-Study metric. This may constitute a step in understanding the conjecture on the existence of minimal exceptional sets in $\\mathbb{CP}^2$.","authors_text":"Dheeraj Kulkarni, Divakaran Divakaran","cross_cats":["math.AG","math.CV","math.DS","math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-05-28T10:49:06Z","title":"On the existence of non-trivial laminations in $\\mathbb{CP}^2$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.10862","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":"sha256:2f9b93566224add7da6ae00547aca6984082ce1ca4ed5e4e1f1b39ce263a24ab","target":"record","created_at":"2026-05-18T00:10:10Z","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":"ee2465619f6ba6edbbd1bb00ce58f91bbc5050daef14093fc7f580e6e1bd4f6f","cross_cats_sorted":["math.AG","math.CV","math.DS","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-05-28T10:49:06Z","title_canon_sha256":"e445efac682dcc3fb35db13efec8da3141f441dd3af1fd91b6952ca3645c1196"},"schema_version":"1.0","source":{"id":"1805.10862","kind":"arxiv","version":3}},"canonical_sha256":"3441d2763ccb8eaefe3f0e65ecb7161d58cb4a3f06074511e4e433c0d98c851a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3441d2763ccb8eaefe3f0e65ecb7161d58cb4a3f06074511e4e433c0d98c851a","first_computed_at":"2026-05-18T00:10:10.128237Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:10.128237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xAvvzD8Hi2yJWbLPC8ph37fSkMbWxpUI26210YCk6t9P2o/KnvnR7eMWMBToEpaknpTA+gWPJA7wvXnIi4TiAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:10.128786Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.10862","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f9b93566224add7da6ae00547aca6984082ce1ca4ed5e4e1f1b39ce263a24ab","sha256:1cae9bbd2013c873e4706630e36c8960320f41ddc8341215a17121bcf847edcb"],"state_sha256":"1089fd0187d84a203b31f08c0ff23a50953013413e1b9a1f88b79f3843977a47"}