{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:UX73KMNCALXF7DA3UQKNO6JGQR","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":"61fd5e2a46edbea8c02e8e301e368cd8f59385ae4ab273bdd62f54da43a6c33a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2026-08-08T07:37:26Z","title_canon_sha256":"6f1651db3840c42bdb02540a0cebb6f8e7ce1c14c8f842477974679c90b13d03"},"schema_version":"1.0","source":{"id":"2608.07983","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.07983","created_at":"2026-08-11T01:21:18Z"},{"alias_kind":"arxiv_version","alias_value":"2608.07983v1","created_at":"2026-08-11T01:21:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.07983","created_at":"2026-08-11T01:21:18Z"},{"alias_kind":"pith_short_12","alias_value":"UX73KMNCALXF","created_at":"2026-08-11T01:21:18Z"},{"alias_kind":"pith_short_16","alias_value":"UX73KMNCALXF7DA3","created_at":"2026-08-11T01:21:18Z"},{"alias_kind":"pith_short_8","alias_value":"UX73KMNC","created_at":"2026-08-11T01:21:18Z"}],"graph_snapshots":[{"event_id":"sha256:44152134d3746a016c20031508f8336f3d815b8068ae6dd75aca432d33d5d000","target":"graph","created_at":"2026-08-11T01:21:18Z","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/2608.07983/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that if $X$ is a projective variety of dimension $\\geq 2$ that is not a rational surface, then the blow up of $X$ at sufficiently many very general points has no nontrivial automorphism. Similar results were known before for $\\mathbb{P}^2$ and $\\mathbb{P}^3.$","authors_text":"Supravat Sarkar","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2026-08-08T07:37:26Z","title":"Automorphisms of very general blow up"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.07983","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":"sha256:6ccd969a696844f2e3a04b3d3fc1d571c23fc7a65ecd7ea662a848f65226cf66","target":"record","created_at":"2026-08-11T01:21:18Z","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":"61fd5e2a46edbea8c02e8e301e368cd8f59385ae4ab273bdd62f54da43a6c33a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2026-08-08T07:37:26Z","title_canon_sha256":"6f1651db3840c42bdb02540a0cebb6f8e7ce1c14c8f842477974679c90b13d03"},"schema_version":"1.0","source":{"id":"2608.07983","kind":"arxiv","version":1}},"canonical_sha256":"a5ffb531a202ee5f8c1ba414d7792684701e8cba1da64178ef83969fdf6fc9ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a5ffb531a202ee5f8c1ba414d7792684701e8cba1da64178ef83969fdf6fc9ff","first_computed_at":"2026-08-11T01:21:18.416882Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-11T01:21:18.416882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qtFjMbU9IuTwm/55VVdyycQmqghyhUzCXsu/qBc+Mfv+wTdUDfmowvkLpnag0a8zKGpFSLn5oovsudZzrUQ+AQ==","signature_status":"signed_v1","signed_at":"2026-08-11T01:21:18.419597Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.07983","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ccd969a696844f2e3a04b3d3fc1d571c23fc7a65ecd7ea662a848f65226cf66","sha256:44152134d3746a016c20031508f8336f3d815b8068ae6dd75aca432d33d5d000"],"state_sha256":"458dfa55da90fd9759b757afd04b9249b135b443ff6890a3d90cea8c14e787e5"}