{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:JUC2CURXXQYHKCY275ZTAEYCQN","short_pith_number":"pith:JUC2CURX","canonical_record":{"source":{"id":"1210.7163","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-10-26T15:04:26Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"ef2bcb2a2df565b1a6ea8960174c53c7bba949e10887e39f9d268313b11512e4","abstract_canon_sha256":"8fffc99535181aa9b3f16344da5596d0afe9f93ed3ae53beed2bdf9f95693fe4"},"schema_version":"1.0"},"canonical_sha256":"4d05a15237bc30750b1aff73301302835502fe5f88114b02d1c6b963518c4156","source":{"kind":"arxiv","id":"1210.7163","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.7163","created_at":"2026-05-17T23:44:10Z"},{"alias_kind":"arxiv_version","alias_value":"1210.7163v4","created_at":"2026-05-17T23:44:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.7163","created_at":"2026-05-17T23:44:10Z"},{"alias_kind":"pith_short_12","alias_value":"JUC2CURXXQYH","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JUC2CURXXQYHKCY2","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JUC2CURX","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:JUC2CURXXQYHKCY275ZTAEYCQN","target":"record","payload":{"canonical_record":{"source":{"id":"1210.7163","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-10-26T15:04:26Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"ef2bcb2a2df565b1a6ea8960174c53c7bba949e10887e39f9d268313b11512e4","abstract_canon_sha256":"8fffc99535181aa9b3f16344da5596d0afe9f93ed3ae53beed2bdf9f95693fe4"},"schema_version":"1.0"},"canonical_sha256":"4d05a15237bc30750b1aff73301302835502fe5f88114b02d1c6b963518c4156","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:10.584832Z","signature_b64":"YBiJ5S/0NMeeugEb8hK/EmpG/fyAzoLiBYusGzyEzu+mdV+SLoOcK6tYMZvmBku+8hTIa3VTJM//ln7icNiMDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d05a15237bc30750b1aff73301302835502fe5f88114b02d1c6b963518c4156","last_reissued_at":"2026-05-17T23:44:10.584343Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:10.584343Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.7163","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:44:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZxtlwoFSd05fr6KsiGcvkHbToAzGHiKoqd6XPJUGGnOaPExdZ/xDBjvgv9SQIizyvSJ4u58J5z6ChsAt4SaZDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T16:34:55.508465Z"},"content_sha256":"761932b09b148c3e7c6fbc030c0981964ad4562a2f14ed181a101611a6bfbf54","schema_version":"1.0","event_id":"sha256:761932b09b148c3e7c6fbc030c0981964ad4562a2f14ed181a101611a6bfbf54"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:JUC2CURXXQYHKCY275ZTAEYCQN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Infinitesimal deformations of rational surface automorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.DS","authors_text":"Julien Grivaux","submitted_at":"2012-10-26T15:04:26Z","abstract_excerpt":"If $X$ is a rational surface without nonzero holomorphic vector field and $f$ is an automorphism of $X$, we study in several examples the Zariski tangent space of the local deformation space of the pair $(X, f)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.7163","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:44:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cMaTcEGTTiaXRaQVHAk8PjbmKX+jGcPP2iANfoLV0XsTeu9WBBItztKh4wqjPcWSp8GB/HWSEFcgeVct5hQ2CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T16:34:55.508821Z"},"content_sha256":"b67850156cb3a8f8ecd8e8d2d9e1f2a63745ddb0066fdfaf00aa2f782e1ec8e7","schema_version":"1.0","event_id":"sha256:b67850156cb3a8f8ecd8e8d2d9e1f2a63745ddb0066fdfaf00aa2f782e1ec8e7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JUC2CURXXQYHKCY275ZTAEYCQN/bundle.json","state_url":"https://pith.science/pith/JUC2CURXXQYHKCY275ZTAEYCQN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JUC2CURXXQYHKCY275ZTAEYCQN/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-27T16:34:55Z","links":{"resolver":"https://pith.science/pith/JUC2CURXXQYHKCY275ZTAEYCQN","bundle":"https://pith.science/pith/JUC2CURXXQYHKCY275ZTAEYCQN/bundle.json","state":"https://pith.science/pith/JUC2CURXXQYHKCY275ZTAEYCQN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JUC2CURXXQYHKCY275ZTAEYCQN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JUC2CURXXQYHKCY275ZTAEYCQN","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":"8fffc99535181aa9b3f16344da5596d0afe9f93ed3ae53beed2bdf9f95693fe4","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-10-26T15:04:26Z","title_canon_sha256":"ef2bcb2a2df565b1a6ea8960174c53c7bba949e10887e39f9d268313b11512e4"},"schema_version":"1.0","source":{"id":"1210.7163","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.7163","created_at":"2026-05-17T23:44:10Z"},{"alias_kind":"arxiv_version","alias_value":"1210.7163v4","created_at":"2026-05-17T23:44:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.7163","created_at":"2026-05-17T23:44:10Z"},{"alias_kind":"pith_short_12","alias_value":"JUC2CURXXQYH","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JUC2CURXXQYHKCY2","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JUC2CURX","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:b67850156cb3a8f8ecd8e8d2d9e1f2a63745ddb0066fdfaf00aa2f782e1ec8e7","target":"graph","created_at":"2026-05-17T23:44:10Z","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":"If $X$ is a rational surface without nonzero holomorphic vector field and $f$ is an automorphism of $X$, we study in several examples the Zariski tangent space of the local deformation space of the pair $(X, f)$.","authors_text":"Julien Grivaux","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-10-26T15:04:26Z","title":"Infinitesimal deformations of rational surface automorphisms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.7163","kind":"arxiv","version":4},"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":"sha256:761932b09b148c3e7c6fbc030c0981964ad4562a2f14ed181a101611a6bfbf54","target":"record","created_at":"2026-05-17T23:44:10Z","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":"8fffc99535181aa9b3f16344da5596d0afe9f93ed3ae53beed2bdf9f95693fe4","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-10-26T15:04:26Z","title_canon_sha256":"ef2bcb2a2df565b1a6ea8960174c53c7bba949e10887e39f9d268313b11512e4"},"schema_version":"1.0","source":{"id":"1210.7163","kind":"arxiv","version":4}},"canonical_sha256":"4d05a15237bc30750b1aff73301302835502fe5f88114b02d1c6b963518c4156","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d05a15237bc30750b1aff73301302835502fe5f88114b02d1c6b963518c4156","first_computed_at":"2026-05-17T23:44:10.584343Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:10.584343Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YBiJ5S/0NMeeugEb8hK/EmpG/fyAzoLiBYusGzyEzu+mdV+SLoOcK6tYMZvmBku+8hTIa3VTJM//ln7icNiMDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:10.584832Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.7163","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:761932b09b148c3e7c6fbc030c0981964ad4562a2f14ed181a101611a6bfbf54","sha256:b67850156cb3a8f8ecd8e8d2d9e1f2a63745ddb0066fdfaf00aa2f782e1ec8e7"],"state_sha256":"62372483bf3ed9c49eca7e679f487be4ee532f60464c628cee1c42a7d59a1eb4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nP02NQdEEDaWTp4qlRZMHi9PhLFf8LDKiB5fYvP6Oe2qRSPVFJeIMpzAunRI5oa5EZ04ztnbqYZsrd6T8r3KCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T16:34:55.510830Z","bundle_sha256":"5dbe6441eb8905509662aa849f4e39e8edf9dc48a180d7f022822dc0cea1bc45"}}