{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:LP2RNBLYIUAKVNMDI5WJ3PUQIZ","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":"4afc546c2d0524b7ab42c9bda10fa98533f7983dcdf6f24674ba379d042ea350","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2020-01-13T06:56:11Z","title_canon_sha256":"e8ec11153a60f93731cf28d30ef067faf58f47cfd78f9d004352c326ec5fe7d9"},"schema_version":"1.0","source":{"id":"2001.04083","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2001.04083","created_at":"2026-07-05T00:32:58Z"},{"alias_kind":"arxiv_version","alias_value":"2001.04083v1","created_at":"2026-07-05T00:32:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.04083","created_at":"2026-07-05T00:32:58Z"},{"alias_kind":"pith_short_12","alias_value":"LP2RNBLYIUAK","created_at":"2026-07-05T00:32:58Z"},{"alias_kind":"pith_short_16","alias_value":"LP2RNBLYIUAKVNMD","created_at":"2026-07-05T00:32:58Z"},{"alias_kind":"pith_short_8","alias_value":"LP2RNBLY","created_at":"2026-07-05T00:32:58Z"}],"graph_snapshots":[{"event_id":"sha256:d1c3d2b037f6c14f3d5d51e73139347117295e69fe56be32aa7f697177d29eb6","target":"graph","created_at":"2026-07-05T00:32:58Z","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/2001.04083/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that a pointed one dimensional family of varieties $\\mathcal{X}\\to {b\\in B}$ in positive characteristics is locally stable iff the log pair $(\\mathcal{X'}, \\mathcal{X}'_{b'})$ arising from its base change to the perfectoid base $b'\\in B_{perf}$ is log canonical.","authors_text":"Runhong Zong, Zhi Hu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2020-01-13T06:56:11Z","title":"On Base Change of Local Stability in Positive Characteristics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.04083","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":"sha256:96df71f93616a7ec0274ec669fa7c63b0fc5b339fbc2132b7dfd2af3f5d523fc","target":"record","created_at":"2026-07-05T00:32:58Z","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":"4afc546c2d0524b7ab42c9bda10fa98533f7983dcdf6f24674ba379d042ea350","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2020-01-13T06:56:11Z","title_canon_sha256":"e8ec11153a60f93731cf28d30ef067faf58f47cfd78f9d004352c326ec5fe7d9"},"schema_version":"1.0","source":{"id":"2001.04083","kind":"arxiv","version":1}},"canonical_sha256":"5bf51685784500aab583476c9dbe904658ed66ee090c79c98f1c6b87820da02c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5bf51685784500aab583476c9dbe904658ed66ee090c79c98f1c6b87820da02c","first_computed_at":"2026-07-05T00:32:58.751990Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:32:58.751990Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"grZ7tVWQIdLF6XU3HgKC6G2lEDhWHFdHfInX3YQZDfY3fd9PUiH1DrgcGacLZlZSSvESwbl8DZtyses9RXIzCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:32:58.752510Z","signed_message":"canonical_sha256_bytes"},"source_id":"2001.04083","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96df71f93616a7ec0274ec669fa7c63b0fc5b339fbc2132b7dfd2af3f5d523fc","sha256:d1c3d2b037f6c14f3d5d51e73139347117295e69fe56be32aa7f697177d29eb6"],"state_sha256":"c91b06b95d2b8d215750a1adb733b9ebf11dce6a634c4639503036b616dc90f5"}