{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZFCCLZK7Z5YQHHQ26C462U2YQM","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":"7af640af03b37f4a301a83891636ced96682d381955393dccfecd12b78955e62","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-07T06:45:11Z","title_canon_sha256":"82b26a34b08f86160797f6a87753e59e0222673c8538b0253949e13e68fcd417"},"schema_version":"1.0","source":{"id":"1803.02539","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.02539","created_at":"2026-05-18T00:21:49Z"},{"alias_kind":"arxiv_version","alias_value":"1803.02539v1","created_at":"2026-05-18T00:21:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.02539","created_at":"2026-05-18T00:21:49Z"},{"alias_kind":"pith_short_12","alias_value":"ZFCCLZK7Z5YQ","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZFCCLZK7Z5YQHHQ2","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZFCCLZK7","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:a826c41f30b5a1f314fa2e1c0560178bc7c12e67ccf82501db7429dab7777f7e","target":"graph","created_at":"2026-05-18T00:21:49Z","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":"On smooth threefolds, the ACC for minimal log discrepancies is equivalent to the boundedness of the log discrepancy of some divisor which computes the minimal log discrepancy. We reduce it to the case when the boundary is the product of a canonical part and the maximal ideal to some power. We prove the reduced assertion when the log canonical threshold of the maximal ideal is either at most one-half or at least one.","authors_text":"Masayuki Kawakita","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-07T06:45:11Z","title":"On equivalent conjectures for minimal log discrepancies on smooth threefolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.02539","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":"sha256:5abdf0152db6c939fb5cbd91de29fcbe16225e09e3961df2b1590b528daa685d","target":"record","created_at":"2026-05-18T00:21:49Z","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":"7af640af03b37f4a301a83891636ced96682d381955393dccfecd12b78955e62","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-03-07T06:45:11Z","title_canon_sha256":"82b26a34b08f86160797f6a87753e59e0222673c8538b0253949e13e68fcd417"},"schema_version":"1.0","source":{"id":"1803.02539","kind":"arxiv","version":1}},"canonical_sha256":"c94425e55fcf71039e1af0b9ed5358832054bd9a9df681a4558b5fe308144c72","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c94425e55fcf71039e1af0b9ed5358832054bd9a9df681a4558b5fe308144c72","first_computed_at":"2026-05-18T00:21:49.909150Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:49.909150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DOnXKrPhgDhxM5kJKM0DhT4BzfrHAYKx/EVAReSpSkFUTtbtgX4z4HUkIrE8zthwPXFAeVrEtx6BLSgdjMhsCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:49.909855Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.02539","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5abdf0152db6c939fb5cbd91de29fcbe16225e09e3961df2b1590b528daa685d","sha256:a826c41f30b5a1f314fa2e1c0560178bc7c12e67ccf82501db7429dab7777f7e"],"state_sha256":"fed08fb9b51c912f3a9a69e9572843738e28dd357d75abcebbd0747197f2fa98"}