{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ZMASUPIAY6R3G6PKCFGEDXEN6S","short_pith_number":"pith:ZMASUPIA","canonical_record":{"source":{"id":"1807.09317","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-07-24T19:40:37Z","cross_cats_sorted":["math.LO","math.RA"],"title_canon_sha256":"00ed692b18fd17e8ab887360d13e4113f9eb8ba1e26f658bf285f28a7652f8c2","abstract_canon_sha256":"7d52d7d2e23a6db4b055f4c81fa3259e8eaa056a8eb455430a390a90d9e74aae"},"schema_version":"1.0"},"canonical_sha256":"cb012a3d00c7a3b379ea114c41dc8df4bfcd975ae30c3b886586136e70760d2f","source":{"kind":"arxiv","id":"1807.09317","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.09317","created_at":"2026-05-18T00:09:35Z"},{"alias_kind":"arxiv_version","alias_value":"1807.09317v2","created_at":"2026-05-18T00:09:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.09317","created_at":"2026-05-18T00:09:35Z"},{"alias_kind":"pith_short_12","alias_value":"ZMASUPIAY6R3","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZMASUPIAY6R3G6PK","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZMASUPIA","created_at":"2026-05-18T12:33:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ZMASUPIAY6R3G6PKCFGEDXEN6S","target":"record","payload":{"canonical_record":{"source":{"id":"1807.09317","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-07-24T19:40:37Z","cross_cats_sorted":["math.LO","math.RA"],"title_canon_sha256":"00ed692b18fd17e8ab887360d13e4113f9eb8ba1e26f658bf285f28a7652f8c2","abstract_canon_sha256":"7d52d7d2e23a6db4b055f4c81fa3259e8eaa056a8eb455430a390a90d9e74aae"},"schema_version":"1.0"},"canonical_sha256":"cb012a3d00c7a3b379ea114c41dc8df4bfcd975ae30c3b886586136e70760d2f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:35.213269Z","signature_b64":"2zaYwVWUiqXoYUqge9Wlq2t57RQTjxmZr5DylJNX2sxo4zQ4xv6C1UAWpF7eGHCIFGYIkaqGA7YCULyREej/CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb012a3d00c7a3b379ea114c41dc8df4bfcd975ae30c3b886586136e70760d2f","last_reissued_at":"2026-05-18T00:09:35.212795Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:35.212795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.09317","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":"2026-05-18T00:09:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nW3JVTNJtktoq1Me2CckjEfPfm4YPUE3QvrM8/7LIM3FhZel6dY7+eO3oIuZr6rsT5i/U7oDli0k6nO3jQbiBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T06:17:35.569664Z"},"content_sha256":"971b53d135fa046e2db468e804fc812b32ee42ff9b43a224e59407cf0ca83219","schema_version":"1.0","event_id":"sha256:971b53d135fa046e2db468e804fc812b32ee42ff9b43a224e59407cf0ca83219"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ZMASUPIAY6R3G6PKCFGEDXEN6S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Differential Weil Descent and Differentially Large Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.LO","math.RA"],"primary_cat":"math.AG","authors_text":"Marcus Tressl, Omar Le\\'on S\\'anchez","submitted_at":"2018-07-24T19:40:37Z","abstract_excerpt":"A differential version of the classical Weil descent is established in all characteristics. It yields a theory of differential restriction of scalars for differential varieties over finite differential field extensions. This theory is then used to prove that in characteristic 0, \\textit{differential largeness} (a notion introduced here as an analogue to largeness of fields) is preserved under algebraic extensions. This provides many new differential fields with minimal differential closures. A further application is Kolchin-density of rational points in differential algebraic groups defined ov"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.09317","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":"2026-05-18T00:09:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FDl5sSBTvb6cy8VFaNrptV9BP4WCqq0KKP3O+mr5vnpb6nnPBmTnVIVmLWW12y7IyKeEtIKXVM0RCYxyAGGvBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T06:17:35.570000Z"},"content_sha256":"b518a83a2f860815854676a68ace26ed1a89813b544d8527b4de108f6254b783","schema_version":"1.0","event_id":"sha256:b518a83a2f860815854676a68ace26ed1a89813b544d8527b4de108f6254b783"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZMASUPIAY6R3G6PKCFGEDXEN6S/bundle.json","state_url":"https://pith.science/pith/ZMASUPIAY6R3G6PKCFGEDXEN6S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZMASUPIAY6R3G6PKCFGEDXEN6S/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":"2026-07-04T06:17:35Z","links":{"resolver":"https://pith.science/pith/ZMASUPIAY6R3G6PKCFGEDXEN6S","bundle":"https://pith.science/pith/ZMASUPIAY6R3G6PKCFGEDXEN6S/bundle.json","state":"https://pith.science/pith/ZMASUPIAY6R3G6PKCFGEDXEN6S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZMASUPIAY6R3G6PKCFGEDXEN6S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZMASUPIAY6R3G6PKCFGEDXEN6S","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":"7d52d7d2e23a6db4b055f4c81fa3259e8eaa056a8eb455430a390a90d9e74aae","cross_cats_sorted":["math.LO","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-07-24T19:40:37Z","title_canon_sha256":"00ed692b18fd17e8ab887360d13e4113f9eb8ba1e26f658bf285f28a7652f8c2"},"schema_version":"1.0","source":{"id":"1807.09317","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.09317","created_at":"2026-05-18T00:09:35Z"},{"alias_kind":"arxiv_version","alias_value":"1807.09317v2","created_at":"2026-05-18T00:09:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.09317","created_at":"2026-05-18T00:09:35Z"},{"alias_kind":"pith_short_12","alias_value":"ZMASUPIAY6R3","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZMASUPIAY6R3G6PK","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZMASUPIA","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:b518a83a2f860815854676a68ace26ed1a89813b544d8527b4de108f6254b783","target":"graph","created_at":"2026-05-18T00:09:35Z","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":"A differential version of the classical Weil descent is established in all characteristics. It yields a theory of differential restriction of scalars for differential varieties over finite differential field extensions. This theory is then used to prove that in characteristic 0, \\textit{differential largeness} (a notion introduced here as an analogue to largeness of fields) is preserved under algebraic extensions. This provides many new differential fields with minimal differential closures. A further application is Kolchin-density of rational points in differential algebraic groups defined ov","authors_text":"Marcus Tressl, Omar Le\\'on S\\'anchez","cross_cats":["math.LO","math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-07-24T19:40:37Z","title":"Differential Weil Descent and Differentially Large Fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.09317","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":"sha256:971b53d135fa046e2db468e804fc812b32ee42ff9b43a224e59407cf0ca83219","target":"record","created_at":"2026-05-18T00:09:35Z","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":"7d52d7d2e23a6db4b055f4c81fa3259e8eaa056a8eb455430a390a90d9e74aae","cross_cats_sorted":["math.LO","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-07-24T19:40:37Z","title_canon_sha256":"00ed692b18fd17e8ab887360d13e4113f9eb8ba1e26f658bf285f28a7652f8c2"},"schema_version":"1.0","source":{"id":"1807.09317","kind":"arxiv","version":2}},"canonical_sha256":"cb012a3d00c7a3b379ea114c41dc8df4bfcd975ae30c3b886586136e70760d2f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb012a3d00c7a3b379ea114c41dc8df4bfcd975ae30c3b886586136e70760d2f","first_computed_at":"2026-05-18T00:09:35.212795Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:35.212795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2zaYwVWUiqXoYUqge9Wlq2t57RQTjxmZr5DylJNX2sxo4zQ4xv6C1UAWpF7eGHCIFGYIkaqGA7YCULyREej/CA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:35.213269Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.09317","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:971b53d135fa046e2db468e804fc812b32ee42ff9b43a224e59407cf0ca83219","sha256:b518a83a2f860815854676a68ace26ed1a89813b544d8527b4de108f6254b783"],"state_sha256":"011536dc3a52b0994c5b47585df7b0d7032a4a3ced64bf8d3977a22c1b736c10"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y2CEC1W+KcBK+BKw7rHiukOGgTfxYeTM++ysmYEIz+1Kk+LrZvDRpyXrXZ1PnB0jDlYffdvxF5Lnx8y/JWn/BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T06:17:35.571920Z","bundle_sha256":"807907d1fef02fdd7e870a2bf3220be87c4655eb74386f378a011a828d1b5989"}}