{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:G5RTSCATUIMQ3D2KNYLERQL6O6","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":"04076b7d5c7079fdb86f726755a46c50cd150911e3f16712b4920543088473a9","cross_cats_sorted":["math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-06-04T20:39:57Z","title_canon_sha256":"4f5099285e62259761baa66f4cb8611728472e1d16249466d0656cda532f900a"},"schema_version":"1.0","source":{"id":"1506.01727","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.01727","created_at":"2026-05-18T00:34:31Z"},{"alias_kind":"arxiv_version","alias_value":"1506.01727v2","created_at":"2026-05-18T00:34:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.01727","created_at":"2026-05-18T00:34:31Z"},{"alias_kind":"pith_short_12","alias_value":"G5RTSCATUIMQ","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"G5RTSCATUIMQ3D2K","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"G5RTSCAT","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:43d87d093f87ebd3ad58c12f940d045635f8d87561b5f7bb366cc03f50ebdd14","target":"graph","created_at":"2026-05-18T00:34:31Z","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 show that normalized currents of integration along the common zeros of random $m$-tuples of sections of powers of $m$ singular Hermitian big line bundles on a compact K\\\"ahler manifold distribute asymptotically to the wedge product of the curvature currents of the metrics. If the Hermitian metrics are H\\\"older with singularities we also estimate the speed of convergence.","authors_text":"Dan Coman, George Marinescu, Vi\\^et-Anh Nguy\\^en","cross_cats":["math-ph","math.DG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-06-04T20:39:57Z","title":"H\\\"older singular metrics on big line bundles and equidistribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.01727","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":"sha256:91d62c6fcf19baad21b5b23c88dfe538d7a2773acd253ca8de0b504a4f15407d","target":"record","created_at":"2026-05-18T00:34:31Z","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":"04076b7d5c7079fdb86f726755a46c50cd150911e3f16712b4920543088473a9","cross_cats_sorted":["math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-06-04T20:39:57Z","title_canon_sha256":"4f5099285e62259761baa66f4cb8611728472e1d16249466d0656cda532f900a"},"schema_version":"1.0","source":{"id":"1506.01727","kind":"arxiv","version":2}},"canonical_sha256":"3763390813a2190d8f4a6e1648c17e77a6021262c960096d0c9084a376828103","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3763390813a2190d8f4a6e1648c17e77a6021262c960096d0c9084a376828103","first_computed_at":"2026-05-18T00:34:31.933624Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:31.933624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ud5iNsVQN2rI0yOOeLnD4T/4POrTQMoreqvbL+32gGrYzKzkahFx6/JPzIQ05GVLGL0hFIGGEz1VY9AEilSPDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:31.934000Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.01727","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91d62c6fcf19baad21b5b23c88dfe538d7a2773acd253ca8de0b504a4f15407d","sha256:43d87d093f87ebd3ad58c12f940d045635f8d87561b5f7bb366cc03f50ebdd14"],"state_sha256":"5506e639de1b2ea070d46275eb017cf87f024d2f9d6aeb76edbdc161cb787dd2"}