{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:G7T6JALVDNJI2N2IQGHYK64MZY","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":"b0e5cad92723eeadf3721e23b7c0bd771f7bd62e36be4b47c2073911f56ffc67","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2022-10-19T15:53:20Z","title_canon_sha256":"40eab4bc937dd1c42af71ecf5dee30abcf8ed414e5ec0c6f5342dab41bcaa0c1"},"schema_version":"1.0","source":{"id":"2210.10682","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.10682","created_at":"2026-07-05T05:08:22Z"},{"alias_kind":"arxiv_version","alias_value":"2210.10682v1","created_at":"2026-07-05T05:08:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.10682","created_at":"2026-07-05T05:08:22Z"},{"alias_kind":"pith_short_12","alias_value":"G7T6JALVDNJI","created_at":"2026-07-05T05:08:22Z"},{"alias_kind":"pith_short_16","alias_value":"G7T6JALVDNJI2N2I","created_at":"2026-07-05T05:08:22Z"},{"alias_kind":"pith_short_8","alias_value":"G7T6JALV","created_at":"2026-07-05T05:08:22Z"}],"graph_snapshots":[{"event_id":"sha256:d57640c70391ca17b83219f0a47aa0ef34cce4bbfdda78da6a07c3781e98dc89","target":"graph","created_at":"2026-07-05T05:08:22Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2210.10682/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The notion of asymptotic Fekete arrays, arrays of points in a compact set $K\\subset {\\bf C}^d$ which behave asymptotically like Fekete arrays, has been well-studied, albeit much more recently in dimensions $d>1$. Here we show that one can allow a more flexible definition where the points in the array need not lie in $K$. Our results, which work in the general setting of weighted pluripotential theory, rely heavily, in the multidimensional setting, on the ground-breaking work of Berman, Boucksom and Nystrom.","authors_text":"L. Bos, N. Levenberg, T. Bloom","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2022-10-19T15:53:20Z","title":"Asymptotic Approximate Fekete Arrays"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.10682","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":"sha256:9c9dae483f1cd154b2ee88b41174b1d4cf729222c18fc736547deffba291cd16","target":"record","created_at":"2026-07-05T05:08:22Z","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":"b0e5cad92723eeadf3721e23b7c0bd771f7bd62e36be4b47c2073911f56ffc67","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2022-10-19T15:53:20Z","title_canon_sha256":"40eab4bc937dd1c42af71ecf5dee30abcf8ed414e5ec0c6f5342dab41bcaa0c1"},"schema_version":"1.0","source":{"id":"2210.10682","kind":"arxiv","version":1}},"canonical_sha256":"37e7e481751b528d3748818f857b8cce180f36d11f39463be6f13756a3c8e865","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"37e7e481751b528d3748818f857b8cce180f36d11f39463be6f13756a3c8e865","first_computed_at":"2026-07-05T05:08:22.662543Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:08:22.662543Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nvUJi7h98QAd3SFav+FxHQQ2Rmk/lSFzUlPh9d0j5ESA9BtZCfjhuFi7IsCJSmm3+9lxQG3heFV/MC/rytDxCw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:08:22.662919Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.10682","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c9dae483f1cd154b2ee88b41174b1d4cf729222c18fc736547deffba291cd16","sha256:d57640c70391ca17b83219f0a47aa0ef34cce4bbfdda78da6a07c3781e98dc89"],"state_sha256":"6914d36aca8bbb420f33197c8a0d38a29ecaf1abe0b7f980b3bb71a683e4a82c"}