{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VQDI4QDGIWSKASK4MTASDBPKDL","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":"ce0f3c63475747c05f3e33e5c3337afa2db9605816041ac9c5734ec0b385ce58","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-11-25T05:53:00Z","title_canon_sha256":"5786100abf07616101561150353770f13ada57396530a8b0456f6c1f7438ca13"},"schema_version":"1.0","source":{"id":"1411.6737","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.6737","created_at":"2026-05-18T01:31:11Z"},{"alias_kind":"arxiv_version","alias_value":"1411.6737v2","created_at":"2026-05-18T01:31:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6737","created_at":"2026-05-18T01:31:11Z"},{"alias_kind":"pith_short_12","alias_value":"VQDI4QDGIWSK","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VQDI4QDGIWSKASK4","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VQDI4QDG","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:1b5f13e2a4c13da2a1ff4e7dc310c411bc6a761af5690c4a88a9ce0ef39fa8bf","target":"graph","created_at":"2026-05-18T01:31:11Z","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 characterize plurisubharmonic functions of Lelong number one at the origin, such that the germ of the associated multiplier ideal sheaf is nontrivial: in arbitrary complex dimension, their singularity must be the sum of a germ of smooth divisor and of a plurisubharmonic function with zero Lelong number. We also present a new proof of the related well known integrability criterion due to Skoda.","authors_text":"Qi'an Guan, Xiangyu Zhou","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-11-25T05:53:00Z","title":"Characterization of multiplier ideal sheaves with weights of Lelong number one"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6737","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":"sha256:20a7065ead60395dfe69117e65fbf3992ad652be798f01e67fbf9ee0bba0e89c","target":"record","created_at":"2026-05-18T01:31:11Z","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":"ce0f3c63475747c05f3e33e5c3337afa2db9605816041ac9c5734ec0b385ce58","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-11-25T05:53:00Z","title_canon_sha256":"5786100abf07616101561150353770f13ada57396530a8b0456f6c1f7438ca13"},"schema_version":"1.0","source":{"id":"1411.6737","kind":"arxiv","version":2}},"canonical_sha256":"ac068e406645a4a0495c64c12185ea1ac4a06222d3b82c8010d2bd9e393b0b95","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac068e406645a4a0495c64c12185ea1ac4a06222d3b82c8010d2bd9e393b0b95","first_computed_at":"2026-05-18T01:31:11.597281Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:11.597281Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a2MJj4oa+/QJjlU2IBf5k30yidW3k3Xhuwc96qauOlxJ/hDR4aHSVx4c29XyZmHew/h0uOyy2gML+pdljKI6CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:11.597860Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.6737","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20a7065ead60395dfe69117e65fbf3992ad652be798f01e67fbf9ee0bba0e89c","sha256:1b5f13e2a4c13da2a1ff4e7dc310c411bc6a761af5690c4a88a9ce0ef39fa8bf"],"state_sha256":"28ccf994fcbce864a8e2f412530e36b0db9d9192520e36b70eccc5acd3981bf9"}