{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:JSLKEVBMK3NGEMGMJ2LG4QSSV2","short_pith_number":"pith:JSLKEVBM","canonical_record":{"source":{"id":"1110.5661","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-25T20:44:41Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"cb0dd583f446ed00d1234b8d0dc325933d32a75682e783e868d68c5127197e3e","abstract_canon_sha256":"89764e50a32b87044a85e849f3720453c01f230275f3aa653cbe7697499994cf"},"schema_version":"1.0"},"canonical_sha256":"4c96a2542c56da6230cc4e966e4252ae991cf6d637eccca04edf74db0eda6773","source":{"kind":"arxiv","id":"1110.5661","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.5661","created_at":"2026-05-18T03:35:38Z"},{"alias_kind":"arxiv_version","alias_value":"1110.5661v2","created_at":"2026-05-18T03:35:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5661","created_at":"2026-05-18T03:35:38Z"},{"alias_kind":"pith_short_12","alias_value":"JSLKEVBMK3NG","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JSLKEVBMK3NGEMGM","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JSLKEVBM","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:JSLKEVBMK3NGEMGMJ2LG4QSSV2","target":"record","payload":{"canonical_record":{"source":{"id":"1110.5661","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-25T20:44:41Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"cb0dd583f446ed00d1234b8d0dc325933d32a75682e783e868d68c5127197e3e","abstract_canon_sha256":"89764e50a32b87044a85e849f3720453c01f230275f3aa653cbe7697499994cf"},"schema_version":"1.0"},"canonical_sha256":"4c96a2542c56da6230cc4e966e4252ae991cf6d637eccca04edf74db0eda6773","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:35:38.754466Z","signature_b64":"K0jW58x7VF0ZbBRB66rxCO8LpyHGk/sfzik6cWefOY51GkJEWX6+vVQTPuzYalfC6srSSkipAHfSlUEh3qnXDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c96a2542c56da6230cc4e966e4252ae991cf6d637eccca04edf74db0eda6773","last_reissued_at":"2026-05-18T03:35:38.753643Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:35:38.753643Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.5661","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:35:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rO+EtWSOfLeu9aANVPGsW8XQBB3NIU11Sc0F4QGnpZX+xAEYV1/wksJ4dOE7DfXjjZegtxpkjN3Iv4A37K2zAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T23:30:55.563556Z"},"content_sha256":"5484b4cd08593fee53260dddc8b566065d68f77d7eb5bd5cf53ea74dd69745ed","schema_version":"1.0","event_id":"sha256:5484b4cd08593fee53260dddc8b566065d68f77d7eb5bd5cf53ea74dd69745ed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:JSLKEVBMK3NGEMGMJ2LG4QSSV2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Projective varieties covered by isotrivial families","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.AG","authors_text":"Anupam Bhatnagar","submitted_at":"2011-10-25T20:44:41Z","abstract_excerpt":"Let X,Y be projective schemes over a discrete valuation ring R, where Y is generically smooth and g:X \\to Y a surjective R-morphism such that g_*\\mathcal{O}_X = \\mathcal{O}_Y. We show that if the family X \\to Spec(R) is isotrivial, then the generic fiber of the family Y \\to Spec(R) is isotrivial."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5661","kind":"arxiv","version":2},"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":"2026-05-18T03:35:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EYUvUHxiVMNukECmm7sRNmvoA7wv0RAOhPYPZd7r7ANJrd/b9LR6zn3lTRxH+JFAqYBTkSjVlLd43OsXA0pbCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T23:30:55.563901Z"},"content_sha256":"c4b369beb9870224e9d752f6a7b2c9161fc9cb6061b5f1e3404024a2678f70d7","schema_version":"1.0","event_id":"sha256:c4b369beb9870224e9d752f6a7b2c9161fc9cb6061b5f1e3404024a2678f70d7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JSLKEVBMK3NGEMGMJ2LG4QSSV2/bundle.json","state_url":"https://pith.science/pith/JSLKEVBMK3NGEMGMJ2LG4QSSV2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JSLKEVBMK3NGEMGMJ2LG4QSSV2/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":"2026-06-21T23:30:55Z","links":{"resolver":"https://pith.science/pith/JSLKEVBMK3NGEMGMJ2LG4QSSV2","bundle":"https://pith.science/pith/JSLKEVBMK3NGEMGMJ2LG4QSSV2/bundle.json","state":"https://pith.science/pith/JSLKEVBMK3NGEMGMJ2LG4QSSV2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JSLKEVBMK3NGEMGMJ2LG4QSSV2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:JSLKEVBMK3NGEMGMJ2LG4QSSV2","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":"89764e50a32b87044a85e849f3720453c01f230275f3aa653cbe7697499994cf","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-25T20:44:41Z","title_canon_sha256":"cb0dd583f446ed00d1234b8d0dc325933d32a75682e783e868d68c5127197e3e"},"schema_version":"1.0","source":{"id":"1110.5661","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.5661","created_at":"2026-05-18T03:35:38Z"},{"alias_kind":"arxiv_version","alias_value":"1110.5661v2","created_at":"2026-05-18T03:35:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5661","created_at":"2026-05-18T03:35:38Z"},{"alias_kind":"pith_short_12","alias_value":"JSLKEVBMK3NG","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JSLKEVBMK3NGEMGM","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JSLKEVBM","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:c4b369beb9870224e9d752f6a7b2c9161fc9cb6061b5f1e3404024a2678f70d7","target":"graph","created_at":"2026-05-18T03:35:38Z","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":"Let X,Y be projective schemes over a discrete valuation ring R, where Y is generically smooth and g:X \\to Y a surjective R-morphism such that g_*\\mathcal{O}_X = \\mathcal{O}_Y. We show that if the family X \\to Spec(R) is isotrivial, then the generic fiber of the family Y \\to Spec(R) is isotrivial.","authors_text":"Anupam Bhatnagar","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-25T20:44:41Z","title":"Projective varieties covered by isotrivial families"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5661","kind":"arxiv","version":2},"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":"sha256:5484b4cd08593fee53260dddc8b566065d68f77d7eb5bd5cf53ea74dd69745ed","target":"record","created_at":"2026-05-18T03:35:38Z","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":"89764e50a32b87044a85e849f3720453c01f230275f3aa653cbe7697499994cf","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-25T20:44:41Z","title_canon_sha256":"cb0dd583f446ed00d1234b8d0dc325933d32a75682e783e868d68c5127197e3e"},"schema_version":"1.0","source":{"id":"1110.5661","kind":"arxiv","version":2}},"canonical_sha256":"4c96a2542c56da6230cc4e966e4252ae991cf6d637eccca04edf74db0eda6773","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c96a2542c56da6230cc4e966e4252ae991cf6d637eccca04edf74db0eda6773","first_computed_at":"2026-05-18T03:35:38.753643Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:35:38.753643Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K0jW58x7VF0ZbBRB66rxCO8LpyHGk/sfzik6cWefOY51GkJEWX6+vVQTPuzYalfC6srSSkipAHfSlUEh3qnXDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:35:38.754466Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.5661","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5484b4cd08593fee53260dddc8b566065d68f77d7eb5bd5cf53ea74dd69745ed","sha256:c4b369beb9870224e9d752f6a7b2c9161fc9cb6061b5f1e3404024a2678f70d7"],"state_sha256":"22c91a640664b913c4872bdf80911d2699f4c4d777f43b3a278c9fa18758ce63"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SMjKdpTzUTeKJO/AB2H50OtRn1UPHJxMu7s0AbvLKzVelfYSQgiwFQJrSYmWKYa6CP+U3Hfw0NWkYM/6M/PDDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T23:30:55.567838Z","bundle_sha256":"4c9a3bd8a35581c0aee119727801ff85bf4e88f5874864578cbbfa101a7ba5ba"}}