{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:LR6D6HLHT2UGBNUUSU2YCTU44Y","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":"5f36b9a5309a3f30125e472c81b456d45eaba6b024b16049a6ac51657b4adf14","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"math.NT","submitted_at":"2005-08-11T00:18:48Z","title_canon_sha256":"c998b9e04c71aca03a58249730f9201f0c7b167cfe18adf727e5ea38e96b37a4"},"schema_version":"1.0","source":{"id":"math/0508191","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0508191","created_at":"2026-05-18T03:02:31Z"},{"alias_kind":"arxiv_version","alias_value":"math/0508191v3","created_at":"2026-05-18T03:02:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0508191","created_at":"2026-05-18T03:02:31Z"},{"alias_kind":"pith_short_12","alias_value":"LR6D6HLHT2UG","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"LR6D6HLHT2UGBNUU","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"LR6D6HLH","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:0c080345e492422ffe875e7c8b82feebfb2d5c2977fe0ebe75bdfffcfca5e7db","target":"graph","created_at":"2026-05-18T03:02:31Z","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":"We introduce a valuation-theoretic approach to the problem of semistable reduction (i.e., existence of logarithmic extensions on suitable covers) of overconvergent isocrystals with Frobenius structure. The key tool is the quasicompactness of the Riemann-Zariski space associated to the function field of a variety.","authors_text":"Kiran S. Kedlaya","cross_cats":["math.AG"],"headline":"","license":"","primary_cat":"math.NT","submitted_at":"2005-08-11T00:18:48Z","title":"Semistable reduction for overconvergent F-isocrystals, II: A valuation-theoretic approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0508191","kind":"arxiv","version":3},"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":"sha256:70ef6ce44d297ca6c8129d6c4869e4efebf744115cdca01136ded9f4671f9cec","target":"record","created_at":"2026-05-18T03:02:31Z","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":"5f36b9a5309a3f30125e472c81b456d45eaba6b024b16049a6ac51657b4adf14","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"math.NT","submitted_at":"2005-08-11T00:18:48Z","title_canon_sha256":"c998b9e04c71aca03a58249730f9201f0c7b167cfe18adf727e5ea38e96b37a4"},"schema_version":"1.0","source":{"id":"math/0508191","kind":"arxiv","version":3}},"canonical_sha256":"5c7c3f1d679ea860b6949535814e9ce62b91ae20b300b1adfc916efd3adbd8c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c7c3f1d679ea860b6949535814e9ce62b91ae20b300b1adfc916efd3adbd8c7","first_computed_at":"2026-05-18T03:02:31.269788Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:31.269788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AJkKZg398hf7qiN0dNUME7JxzKJezUCmIyQqRalnIdyvo/NS4ksqygZy3CYemTs5TPvnyvLZJNiUm74QtnbzBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:31.270776Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0508191","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70ef6ce44d297ca6c8129d6c4869e4efebf744115cdca01136ded9f4671f9cec","sha256:0c080345e492422ffe875e7c8b82feebfb2d5c2977fe0ebe75bdfffcfca5e7db"],"state_sha256":"90d78ed8061c66bcf2a26ed5383a56ae832e4939370ab08cc6bf27a01f60280e"}