{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:V4G5XALGHEUVYEILAUW2X3BSZV","short_pith_number":"pith:V4G5XALG","canonical_record":{"source":{"id":"1104.2222","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-04-12T14:18:54Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"2bdc2d1b1b377663f1a65b86c2758dbf88c130517af1ffb5f6e5fb50aebd9144","abstract_canon_sha256":"6a680aacbfd78624e9f052d3bdebde0a63f8a6244250b173a88015ea55112463"},"schema_version":"1.0"},"canonical_sha256":"af0ddb816639295c110b052dabec32cd7447932f70b2c39d39a58d0674b9f5e2","source":{"kind":"arxiv","id":"1104.2222","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.2222","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"arxiv_version","alias_value":"1104.2222v1","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.2222","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"pith_short_12","alias_value":"V4G5XALGHEUV","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"V4G5XALGHEUVYEIL","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"V4G5XALG","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:V4G5XALGHEUVYEILAUW2X3BSZV","target":"record","payload":{"canonical_record":{"source":{"id":"1104.2222","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-04-12T14:18:54Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"2bdc2d1b1b377663f1a65b86c2758dbf88c130517af1ffb5f6e5fb50aebd9144","abstract_canon_sha256":"6a680aacbfd78624e9f052d3bdebde0a63f8a6244250b173a88015ea55112463"},"schema_version":"1.0"},"canonical_sha256":"af0ddb816639295c110b052dabec32cd7447932f70b2c39d39a58d0674b9f5e2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:35.717366Z","signature_b64":"9okS875J0fPSraoEdhajZm8Rym6LIBXFWXmXJQlcr/Dgi0YyPKp72G8uYpAI94vMbont1eLMDrwJBd9NbXcdDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af0ddb816639295c110b052dabec32cd7447932f70b2c39d39a58d0674b9f5e2","last_reissued_at":"2026-05-18T04:24:35.716883Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:35.716883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.2222","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":"2026-05-18T04:24:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2slJbdSRB1tz3BHrbnhUXIaurENMCUzaUUyUGLhfP0lKlivAv7PGbuuJts0sZx4nSrZwvsspeZER0n+Qt0FOBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T20:33:03.545280Z"},"content_sha256":"356b2f974aac65437612e0b21f215ca96f0dfdec0c0e4b2c2b5716c7c63fbc82","schema_version":"1.0","event_id":"sha256:356b2f974aac65437612e0b21f215ca96f0dfdec0c0e4b2c2b5716c7c63fbc82"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:V4G5XALGHEUVYEILAUW2X3BSZV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sekiguchi-Suwa theory revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Ariane M\\'ezard, Dajano Tossici, Matthieu Romagny","submitted_at":"2011-04-12T14:18:54Z","abstract_excerpt":"We present an account of the construction by S. Sekiguchi and N. Suwa of a cyclic isogeny of affine smooth group schemes unifying the Kummer and Artin-Schreier-Witt isogenies. We complete the construction over an arbitrary base ring. We extend the statements of some results in a form adapted to a further investigation of the models of the group schemes of roots of unity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.2222","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":"2026-05-18T04:24:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jxUKyRPVV7NhQk47uj4rhgp4EKXHNMXD8gOr9f4ppIlw5/6te2i1AqMLtFMrXxUb8eHHQQgQbmPhhubz5vAZAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T20:33:03.545700Z"},"content_sha256":"9ce2b84f60ff320eae358a598a16258df77c7ae2ea004991ce33ddb8d86d6a6c","schema_version":"1.0","event_id":"sha256:9ce2b84f60ff320eae358a598a16258df77c7ae2ea004991ce33ddb8d86d6a6c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V4G5XALGHEUVYEILAUW2X3BSZV/bundle.json","state_url":"https://pith.science/pith/V4G5XALGHEUVYEILAUW2X3BSZV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V4G5XALGHEUVYEILAUW2X3BSZV/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":"2026-06-23T20:33:03Z","links":{"resolver":"https://pith.science/pith/V4G5XALGHEUVYEILAUW2X3BSZV","bundle":"https://pith.science/pith/V4G5XALGHEUVYEILAUW2X3BSZV/bundle.json","state":"https://pith.science/pith/V4G5XALGHEUVYEILAUW2X3BSZV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V4G5XALGHEUVYEILAUW2X3BSZV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:V4G5XALGHEUVYEILAUW2X3BSZV","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":"6a680aacbfd78624e9f052d3bdebde0a63f8a6244250b173a88015ea55112463","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-04-12T14:18:54Z","title_canon_sha256":"2bdc2d1b1b377663f1a65b86c2758dbf88c130517af1ffb5f6e5fb50aebd9144"},"schema_version":"1.0","source":{"id":"1104.2222","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.2222","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"arxiv_version","alias_value":"1104.2222v1","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.2222","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"pith_short_12","alias_value":"V4G5XALGHEUV","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"V4G5XALGHEUVYEIL","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"V4G5XALG","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:9ce2b84f60ff320eae358a598a16258df77c7ae2ea004991ce33ddb8d86d6a6c","target":"graph","created_at":"2026-05-18T04:24:35Z","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":"We present an account of the construction by S. Sekiguchi and N. Suwa of a cyclic isogeny of affine smooth group schemes unifying the Kummer and Artin-Schreier-Witt isogenies. We complete the construction over an arbitrary base ring. We extend the statements of some results in a form adapted to a further investigation of the models of the group schemes of roots of unity.","authors_text":"Ariane M\\'ezard, Dajano Tossici, Matthieu Romagny","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-04-12T14:18:54Z","title":"Sekiguchi-Suwa theory revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.2222","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":"sha256:356b2f974aac65437612e0b21f215ca96f0dfdec0c0e4b2c2b5716c7c63fbc82","target":"record","created_at":"2026-05-18T04:24:35Z","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":"6a680aacbfd78624e9f052d3bdebde0a63f8a6244250b173a88015ea55112463","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-04-12T14:18:54Z","title_canon_sha256":"2bdc2d1b1b377663f1a65b86c2758dbf88c130517af1ffb5f6e5fb50aebd9144"},"schema_version":"1.0","source":{"id":"1104.2222","kind":"arxiv","version":1}},"canonical_sha256":"af0ddb816639295c110b052dabec32cd7447932f70b2c39d39a58d0674b9f5e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af0ddb816639295c110b052dabec32cd7447932f70b2c39d39a58d0674b9f5e2","first_computed_at":"2026-05-18T04:24:35.716883Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:35.716883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9okS875J0fPSraoEdhajZm8Rym6LIBXFWXmXJQlcr/Dgi0YyPKp72G8uYpAI94vMbont1eLMDrwJBd9NbXcdDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:35.717366Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.2222","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:356b2f974aac65437612e0b21f215ca96f0dfdec0c0e4b2c2b5716c7c63fbc82","sha256:9ce2b84f60ff320eae358a598a16258df77c7ae2ea004991ce33ddb8d86d6a6c"],"state_sha256":"dd3b660fd15e0d20cf1f60bfcad9d5c899dc94795ccac01bf518e8062f592775"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lXwlU57EZuQ2pAKmWjIA4RzWn5Jfp4TxUwmAfrnvzlAP1D80jETlePPFcANwOVZqiXX+RrPrBhNd2bafAWr4DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T20:33:03.547653Z","bundle_sha256":"25e744bbeab877e90f144d2868871adcaf5fd602cd277d5bd3e4531048f3b1df"}}