{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ISMM54JJ7WCRR4BHMM63T55CPE","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":"a3e86220803a9a76af995495581ce00b7fe059586c82b497a49abc59711089ab","cross_cats_sorted":["math.DG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2024-04-01T14:04:01Z","title_canon_sha256":"060a9cd00d4b53d309a10f8bdcb065f2a4124b4e71515d4cfbe8d58e3ae074c2"},"schema_version":"1.0","source":{"id":"2404.01126","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.01126","created_at":"2026-06-19T16:11:08Z"},{"alias_kind":"arxiv_version","alias_value":"2404.01126v2","created_at":"2026-06-19T16:11:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.01126","created_at":"2026-06-19T16:11:08Z"},{"alias_kind":"pith_short_12","alias_value":"ISMM54JJ7WCR","created_at":"2026-06-19T16:11:08Z"},{"alias_kind":"pith_short_16","alias_value":"ISMM54JJ7WCRR4BH","created_at":"2026-06-19T16:11:08Z"},{"alias_kind":"pith_short_8","alias_value":"ISMM54JJ","created_at":"2026-06-19T16:11:08Z"}],"graph_snapshots":[{"event_id":"sha256:5536ee61df24acaeb8a0bb795ded3815c31c30e9bbb2754dcc8d058f4dde6903","target":"graph","created_at":"2026-06-19T16:11:08Z","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/2404.01126/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We establish a transcendental generalization of Nakamaye's theorem to compact complex manifolds when the form is not assumed to be closed. We apply the recent analytic technique developed by Collins and Tosatti to show that the non-Hermitian locus of a nef and big $(1,1)$-form, which is not necessarily closed, on a compact complex manifold equals the union of all positive-dimensional analytic subvarieties where the restriction of the form is not big (null locus). As an application, we can give an alternative proof of the Nakai--Moishezon criterion of Buchdahl and Lamari for complex surfaces an","authors_text":"Quang-Tuan Dang","cross_cats":["math.DG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2024-04-01T14:04:01Z","title":"Hermitian null loci"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.01126","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":"sha256:4f7848dd9c6085e168651d58f45d548ebd6bcbba32628e1c00c6ce36d3539155","target":"record","created_at":"2026-06-19T16:11:08Z","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":"a3e86220803a9a76af995495581ce00b7fe059586c82b497a49abc59711089ab","cross_cats_sorted":["math.DG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2024-04-01T14:04:01Z","title_canon_sha256":"060a9cd00d4b53d309a10f8bdcb065f2a4124b4e71515d4cfbe8d58e3ae074c2"},"schema_version":"1.0","source":{"id":"2404.01126","kind":"arxiv","version":2}},"canonical_sha256":"4498cef129fd8518f027633db9f7a2790aa10288278d3a1094851daa6635c92a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4498cef129fd8518f027633db9f7a2790aa10288278d3a1094851daa6635c92a","first_computed_at":"2026-06-19T16:11:08.100504Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:11:08.100504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f7SMBEaljqKzS9w4l+DWDrZ8usTo+3tsFhVkiGOUlS7bHMG2dkiMk9bPD8/EMksc59ikqp34YV6JXEDWpA7xDg==","signature_status":"signed_v1","signed_at":"2026-06-19T16:11:08.101010Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.01126","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f7848dd9c6085e168651d58f45d548ebd6bcbba32628e1c00c6ce36d3539155","sha256:5536ee61df24acaeb8a0bb795ded3815c31c30e9bbb2754dcc8d058f4dde6903"],"state_sha256":"66e69168c1e1b823bde79091664151d965f92a4b579b443d619c6479a77c5468"}