{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:KCN4Y3ZTFNQGX5GZTSRJJEMHMC","short_pith_number":"pith:KCN4Y3ZT","canonical_record":{"source":{"id":"1903.09968","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-03-24T11:03:55Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"563cb462d7d9e746c202b4c44beb8bf12c8bc07bf903148ee57899af04d51c84","abstract_canon_sha256":"7e0348e8960801dff56c6d8780a375998bcaa9283c77e9067db5c44f915531aa"},"schema_version":"1.0"},"canonical_sha256":"509bcc6f332b606bf4d99ca2949187609c9a3596be28db29a980c9fd943f7ffb","source":{"kind":"arxiv","id":"1903.09968","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.09968","created_at":"2026-05-17T23:50:34Z"},{"alias_kind":"arxiv_version","alias_value":"1903.09968v1","created_at":"2026-05-17T23:50:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.09968","created_at":"2026-05-17T23:50:34Z"},{"alias_kind":"pith_short_12","alias_value":"KCN4Y3ZTFNQG","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"KCN4Y3ZTFNQGX5GZ","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"KCN4Y3ZT","created_at":"2026-05-18T12:33:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:KCN4Y3ZTFNQGX5GZTSRJJEMHMC","target":"record","payload":{"canonical_record":{"source":{"id":"1903.09968","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-03-24T11:03:55Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"563cb462d7d9e746c202b4c44beb8bf12c8bc07bf903148ee57899af04d51c84","abstract_canon_sha256":"7e0348e8960801dff56c6d8780a375998bcaa9283c77e9067db5c44f915531aa"},"schema_version":"1.0"},"canonical_sha256":"509bcc6f332b606bf4d99ca2949187609c9a3596be28db29a980c9fd943f7ffb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:34.898854Z","signature_b64":"ZmU4C0cap/3jTACC5JxddhGUgP2Tmt3IUDdyO7oU9z45MBDUQDGArTmsSUe1IMSd/q4JRw3j5fK+muu3CithAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"509bcc6f332b606bf4d99ca2949187609c9a3596be28db29a980c9fd943f7ffb","last_reissued_at":"2026-05-17T23:50:34.898297Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:34.898297Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.09968","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:50:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VMwepf2T5h3aYzNzyb/m6YJfNKzyU6ysYnIFuXF2jS6OjWWj19rPtmnVwvhvokDOx7jVrKRxKxSh5oMY2RVrBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T23:08:02.662042Z"},"content_sha256":"e337b7a1fb35d255bba58aa3335775f696f55196f9e6ea18eea774edec69e554","schema_version":"1.0","event_id":"sha256:e337b7a1fb35d255bba58aa3335775f696f55196f9e6ea18eea774edec69e554"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:KCN4Y3ZTFNQGX5GZTSRJJEMHMC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Le cristal de Dieudonn\\'e des sch\\'emas en $\\mathbb{F}$-vectoriels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Arnaud Vanhaecke","submitted_at":"2019-03-24T11:03:55Z","abstract_excerpt":"In this paper we describe the Dieudonn\\'e crystal of a finite locally free group scheme with a vector action of a finite field $\\mathbb{F}$. These $\\mathbb{F}$-vector schemes appear when we consider torsion points of $p$-divisible modules. A particular class of $\\mathbb{F}$-vector schemes has been classified by Raynaud in [Ray74], which allows us to determine the structure of torsion points of $p$-divisible modules, under certain conditions on the Lie algebra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.09968","kind":"arxiv","version":1},"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":"2026-05-17T23:50:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gp76GLEjgupGXhulHNgFnz4ffXcSOgaY8enqdYc99UVcGZl/O+iGS6W4lbsxJ6+5h4MLXi75eQKjBzeCmePFAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T23:08:02.662721Z"},"content_sha256":"76b70bd2dc6beddc7c84eba650efea73ddce004094e7c4da2accff4d81fdc748","schema_version":"1.0","event_id":"sha256:76b70bd2dc6beddc7c84eba650efea73ddce004094e7c4da2accff4d81fdc748"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KCN4Y3ZTFNQGX5GZTSRJJEMHMC/bundle.json","state_url":"https://pith.science/pith/KCN4Y3ZTFNQGX5GZTSRJJEMHMC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KCN4Y3ZTFNQGX5GZTSRJJEMHMC/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":"2026-06-06T23:08:02Z","links":{"resolver":"https://pith.science/pith/KCN4Y3ZTFNQGX5GZTSRJJEMHMC","bundle":"https://pith.science/pith/KCN4Y3ZTFNQGX5GZTSRJJEMHMC/bundle.json","state":"https://pith.science/pith/KCN4Y3ZTFNQGX5GZTSRJJEMHMC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KCN4Y3ZTFNQGX5GZTSRJJEMHMC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:KCN4Y3ZTFNQGX5GZTSRJJEMHMC","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":"7e0348e8960801dff56c6d8780a375998bcaa9283c77e9067db5c44f915531aa","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-03-24T11:03:55Z","title_canon_sha256":"563cb462d7d9e746c202b4c44beb8bf12c8bc07bf903148ee57899af04d51c84"},"schema_version":"1.0","source":{"id":"1903.09968","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.09968","created_at":"2026-05-17T23:50:34Z"},{"alias_kind":"arxiv_version","alias_value":"1903.09968v1","created_at":"2026-05-17T23:50:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.09968","created_at":"2026-05-17T23:50:34Z"},{"alias_kind":"pith_short_12","alias_value":"KCN4Y3ZTFNQG","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"KCN4Y3ZTFNQGX5GZ","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"KCN4Y3ZT","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:76b70bd2dc6beddc7c84eba650efea73ddce004094e7c4da2accff4d81fdc748","target":"graph","created_at":"2026-05-17T23:50:34Z","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":"In this paper we describe the Dieudonn\\'e crystal of a finite locally free group scheme with a vector action of a finite field $\\mathbb{F}$. These $\\mathbb{F}$-vector schemes appear when we consider torsion points of $p$-divisible modules. A particular class of $\\mathbb{F}$-vector schemes has been classified by Raynaud in [Ray74], which allows us to determine the structure of torsion points of $p$-divisible modules, under certain conditions on the Lie algebra.","authors_text":"Arnaud Vanhaecke","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-03-24T11:03:55Z","title":"Le cristal de Dieudonn\\'e des sch\\'emas en $\\mathbb{F}$-vectoriels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.09968","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:e337b7a1fb35d255bba58aa3335775f696f55196f9e6ea18eea774edec69e554","target":"record","created_at":"2026-05-17T23:50:34Z","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":"7e0348e8960801dff56c6d8780a375998bcaa9283c77e9067db5c44f915531aa","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-03-24T11:03:55Z","title_canon_sha256":"563cb462d7d9e746c202b4c44beb8bf12c8bc07bf903148ee57899af04d51c84"},"schema_version":"1.0","source":{"id":"1903.09968","kind":"arxiv","version":1}},"canonical_sha256":"509bcc6f332b606bf4d99ca2949187609c9a3596be28db29a980c9fd943f7ffb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"509bcc6f332b606bf4d99ca2949187609c9a3596be28db29a980c9fd943f7ffb","first_computed_at":"2026-05-17T23:50:34.898297Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:34.898297Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZmU4C0cap/3jTACC5JxddhGUgP2Tmt3IUDdyO7oU9z45MBDUQDGArTmsSUe1IMSd/q4JRw3j5fK+muu3CithAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:34.898854Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.09968","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e337b7a1fb35d255bba58aa3335775f696f55196f9e6ea18eea774edec69e554","sha256:76b70bd2dc6beddc7c84eba650efea73ddce004094e7c4da2accff4d81fdc748"],"state_sha256":"f0bdea810858f08316aaaac1e3478bde8caccd9bbf61bd3eac3ed648d20d8a0c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SiUMTXWRr53sZ8d0XmBO2/fCvWqzVSCcL8f9Lyr9gpzVDFlamQkcRB98Sfa69J/9xl6CanIVUGYCDWUXH/XVBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T23:08:02.666785Z","bundle_sha256":"09efeb13f2c7c63ede5960473ce3b60637603b6b7cdce2a0fc9024ea1e1a89e2"}}