{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CPSDWBNPFK6YSFBSYJ34WSUUD3","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":"aa385c49be08cafbd2265fcdccead648171ff27f94c2e1337e5b5e5849db6667","cross_cats_sorted":["math.AG","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-11-12T18:20:04Z","title_canon_sha256":"5b04605dd26af1009e850c165cd7f5f806f7df4331eb72522f30ed4d55dbf4d1"},"schema_version":"1.0","source":{"id":"1311.2866","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.2866","created_at":"2026-05-18T03:07:21Z"},{"alias_kind":"arxiv_version","alias_value":"1311.2866v1","created_at":"2026-05-18T03:07:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.2866","created_at":"2026-05-18T03:07:21Z"},{"alias_kind":"pith_short_12","alias_value":"CPSDWBNPFK6Y","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CPSDWBNPFK6YSFBS","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CPSDWBNP","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:307b3218fccb8e58f96334920e4b2e676e1f76101a3f925cbd356b083d8ec90c","target":"graph","created_at":"2026-05-18T03:07:21Z","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":"Let $X$ be a compact K\\\"ahler manifold and $\\theta$ a smooth closed $(1,1)$-real form representing a big cohomology class $\\alpha \\in H^{1,1}(X,\\R)$. The purpose of this note is to show, using pluripotential and viscosity techniques, that any $\\theta$-plurisubharmonic function $\\f$ can be approximated from above by a decreasing sequence of continuous $\\theta$-plurisubharmonic functions with minimal singularities, assuming that there exists a single such function.","authors_text":"Ahmed Zeriahi, Philippe Eyssidieux, Vincent Guedj","cross_cats":["math.AG","math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-11-12T18:20:04Z","title":"Continuous approximation of quasi-plurisubharmonic functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.2866","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":"sha256:6bf0abe98e1c62950c3c6ce18bdc839138972d5b7085d316775f019db16244e9","target":"record","created_at":"2026-05-18T03:07:21Z","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":"aa385c49be08cafbd2265fcdccead648171ff27f94c2e1337e5b5e5849db6667","cross_cats_sorted":["math.AG","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-11-12T18:20:04Z","title_canon_sha256":"5b04605dd26af1009e850c165cd7f5f806f7df4331eb72522f30ed4d55dbf4d1"},"schema_version":"1.0","source":{"id":"1311.2866","kind":"arxiv","version":1}},"canonical_sha256":"13e43b05af2abd891432c277cb4a941ec596916630430d4f2dae3f9807940ff7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13e43b05af2abd891432c277cb4a941ec596916630430d4f2dae3f9807940ff7","first_computed_at":"2026-05-18T03:07:21.695433Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:21.695433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ij/ynBQsoWJT12SmRiBtaXbqTv/M31MHOD1eICChpq32T91/v7kg9mNKPwdW+zJfTDDPTUliWFh/ZwmSxMxeAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:21.696386Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.2866","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6bf0abe98e1c62950c3c6ce18bdc839138972d5b7085d316775f019db16244e9","sha256:307b3218fccb8e58f96334920e4b2e676e1f76101a3f925cbd356b083d8ec90c"],"state_sha256":"7a906cea8ab4b86d9312f9fbca3b76c3a41c01e3162d20b318941b8488024cbe"}