{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:42YYRVNH24GZARUBPTSQVNZGET","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":"2e20df558a1444d85be5deca4cd54ba40d4dfa5f463cc140df41d6d551cef193","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-07-11T15:17:59Z","title_canon_sha256":"4c0d232715ae8a7fbf2b8a9e0f98550fa3e8af1d0bae1e6204a3e7e507376a29"},"schema_version":"1.0","source":{"id":"1607.02995","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.02995","created_at":"2026-05-18T01:11:14Z"},{"alias_kind":"arxiv_version","alias_value":"1607.02995v1","created_at":"2026-05-18T01:11:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.02995","created_at":"2026-05-18T01:11:14Z"},{"alias_kind":"pith_short_12","alias_value":"42YYRVNH24GZ","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"42YYRVNH24GZARUB","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"42YYRVNH","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:a29334ff563e1d1782afb2ea0574f4779b08449b8ee1b1e2ab168f92dc5e5357","target":"graph","created_at":"2026-05-18T01:11:14Z","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 construct an Ulrich bundle on the blowup at a point when the original variety is embedded by a sufficiently positive linear system and carries an Ulrich bundle. In particular, we describe the relation between special Ulrich bundles on the blown-up surfaces and the original surfaces.","authors_text":"Yeongrak Kim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-07-11T15:17:59Z","title":"Ulrich bundles on blowups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.02995","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:c02c225d8c1fb29d3bc98d5b024ddee767690752b9e6f6804e45f6d04e70a884","target":"record","created_at":"2026-05-18T01:11:14Z","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":"2e20df558a1444d85be5deca4cd54ba40d4dfa5f463cc140df41d6d551cef193","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-07-11T15:17:59Z","title_canon_sha256":"4c0d232715ae8a7fbf2b8a9e0f98550fa3e8af1d0bae1e6204a3e7e507376a29"},"schema_version":"1.0","source":{"id":"1607.02995","kind":"arxiv","version":1}},"canonical_sha256":"e6b188d5a7d70d9046817ce50ab72624eaaa40183624ac1043cecd51a61b7b82","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e6b188d5a7d70d9046817ce50ab72624eaaa40183624ac1043cecd51a61b7b82","first_computed_at":"2026-05-18T01:11:14.221894Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:14.221894Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XXZLlE560+S6QpW0zmtzYXQhHrr11zxaJNr2ZZpPFE6Ha40lNaQQJZUi2OrL/cGhyvxFoxkdj0aeRGW1holbAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:14.222468Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.02995","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c02c225d8c1fb29d3bc98d5b024ddee767690752b9e6f6804e45f6d04e70a884","sha256:a29334ff563e1d1782afb2ea0574f4779b08449b8ee1b1e2ab168f92dc5e5357"],"state_sha256":"05f0b8bd9bc46f8e84688af595dba78a535711f678237b46c95bb68a3fef9b72"}