{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SDJD6Z5FPDBST4YP77AOPLFCV4","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":"9354d85c32b99762f54e92186c7e59b33df687a893591fa96118458146ca3dbc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-04-06T06:50:53Z","title_canon_sha256":"836a5f69693772df844f38783baf1ba732f6b280b0f1add8c39735ec6d66f8b8"},"schema_version":"1.0","source":{"id":"1604.01506","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.01506","created_at":"2026-05-18T01:15:13Z"},{"alias_kind":"arxiv_version","alias_value":"1604.01506v4","created_at":"2026-05-18T01:15:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.01506","created_at":"2026-05-18T01:15:13Z"},{"alias_kind":"pith_short_12","alias_value":"SDJD6Z5FPDBS","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SDJD6Z5FPDBST4YP","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SDJD6Z5F","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:d68933ded5a8c9e53db6fec97bc5ad605099fc591f2f31feda6e88092f96ef0f","target":"graph","created_at":"2026-05-18T01:15:13Z","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 paper, we prove an inequality for log canonical thresholds and Monge-Ampere masses. The idea of proof is a combination of the Ohsawa-Takegoshi $L^2$-extension theorem and inequalities in [ACKHZ09], [DH14]. It also give an analytic proof for the main result in [DH14] in the case of dimension 2.","authors_text":"Pham Hoang Hiep","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-04-06T06:50:53Z","title":"Log canonical thresholds and Monge-Ampere masses"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.01506","kind":"arxiv","version":4},"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":"sha256:9d11c17891c8535ae8b3e6722bdc1410fc974207dd54d6af3ee3dcd773a195d9","target":"record","created_at":"2026-05-18T01:15:13Z","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":"9354d85c32b99762f54e92186c7e59b33df687a893591fa96118458146ca3dbc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-04-06T06:50:53Z","title_canon_sha256":"836a5f69693772df844f38783baf1ba732f6b280b0f1add8c39735ec6d66f8b8"},"schema_version":"1.0","source":{"id":"1604.01506","kind":"arxiv","version":4}},"canonical_sha256":"90d23f67a578c329f30fffc0e7aca2af35e7dc47ca7a8c7206840a20f7e0a3a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90d23f67a578c329f30fffc0e7aca2af35e7dc47ca7a8c7206840a20f7e0a3a8","first_computed_at":"2026-05-18T01:15:13.596503Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:13.596503Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oIsY/f8WadGVmPoGs53HA1YcT0dt0eFMnohg6qLQeMmCEwK4HRNubLnkyfghqFJHDle41l/ABr6uoebDqfCGDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:13.597175Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.01506","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d11c17891c8535ae8b3e6722bdc1410fc974207dd54d6af3ee3dcd773a195d9","sha256:d68933ded5a8c9e53db6fec97bc5ad605099fc591f2f31feda6e88092f96ef0f"],"state_sha256":"a253cb10e5e36c807dabe37855631cb3e3f6f58175f3e36685186ed94f7c99cf"}