{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:YBI344SMRJAJBXPRPNSXYJC2QB","short_pith_number":"pith:YBI344SM","canonical_record":{"source":{"id":"2411.10134","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AG","submitted_at":"2024-11-15T12:14:04Z","cross_cats_sorted":[],"title_canon_sha256":"aa154ac16abd2c98f4fd9b87d4436b62087ea3599f3a43042a366efeb0c5c38d","abstract_canon_sha256":"5af9300a9313896ef30d06666fd3a667d03514413e76647e2260740f69331d5b"},"schema_version":"1.0"},"canonical_sha256":"c051be724c8a4090ddf17b657c245a80762533231a2475fbc2383fb437c59da0","source":{"kind":"arxiv","id":"2411.10134","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.10134","created_at":"2026-07-05T09:36:00Z"},{"alias_kind":"arxiv_version","alias_value":"2411.10134v1","created_at":"2026-07-05T09:36:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.10134","created_at":"2026-07-05T09:36:00Z"},{"alias_kind":"pith_short_12","alias_value":"YBI344SMRJAJ","created_at":"2026-07-05T09:36:00Z"},{"alias_kind":"pith_short_16","alias_value":"YBI344SMRJAJBXPR","created_at":"2026-07-05T09:36:00Z"},{"alias_kind":"pith_short_8","alias_value":"YBI344SM","created_at":"2026-07-05T09:36:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:YBI344SMRJAJBXPRPNSXYJC2QB","target":"record","payload":{"canonical_record":{"source":{"id":"2411.10134","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AG","submitted_at":"2024-11-15T12:14:04Z","cross_cats_sorted":[],"title_canon_sha256":"aa154ac16abd2c98f4fd9b87d4436b62087ea3599f3a43042a366efeb0c5c38d","abstract_canon_sha256":"5af9300a9313896ef30d06666fd3a667d03514413e76647e2260740f69331d5b"},"schema_version":"1.0"},"canonical_sha256":"c051be724c8a4090ddf17b657c245a80762533231a2475fbc2383fb437c59da0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:36:00.234132Z","signature_b64":"8T2ArkX4kQXhJj/0Ogkz/iwP2MbYqmqmszt1+EGKIQbQd3KQzyzJnGC3GTu74NUxmpp93OQl+QUuEyE/wknCAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c051be724c8a4090ddf17b657c245a80762533231a2475fbc2383fb437c59da0","last_reissued_at":"2026-07-05T09:36:00.233635Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:36:00.233635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.10134","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":"2026-07-05T09:36:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3ge6/bPlSWwR9ROsJVfyUSRzFEMojWmWVL9z7J9Tj5HNPDZrddYANCKQ+ZwoVnttw7OG4eHGiBZqp5HnVsaRDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-16T07:16:17.670879Z"},"content_sha256":"381216c6167c9195bfd42a8d1bd6fcb2c30b8cc338fce739c6ded0f613fc6cf2","schema_version":"1.0","event_id":"sha256:381216c6167c9195bfd42a8d1bd6fcb2c30b8cc338fce739c6ded0f613fc6cf2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:YBI344SMRJAJBXPRPNSXYJC2QB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Simplicity of some Jacobians with many automorphisms","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"A. Ortega, G.P. Pirola, I. Spelta, J.C. Naranjo","submitted_at":"2024-11-15T12:14:04Z","abstract_excerpt":"We study an explicit $(2g-1)$-dimensional family of Jacobian varieties of dimension $\\frac{d-1}2(g-1)$, arising from quotient curves of unramified cyclic coverings of prime degree $d$ of hyperelliptic curves of genus $g\\ge 2$. By using a deformation argument, we prove that the generic element of the family is simple. Furthermore, we completely describe their endomorphism algebra, and we show that they admit a rank $\\frac{d-1}2-1$ group of non-polarized automorphisms. As an application of these results, we prove the generic injectivity of the Prym map for \\'etale cyclic coverings of hyperellipt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.10134","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.10134/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:36:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k0mULknfV9rDy5JBfZdYzH/rX9I1eLrz+fD/zfRLwjMhC5o40IiApQ18mB8UES6jmdf99Fj/7vOAbYn/Xp3VDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-16T07:16:17.671258Z"},"content_sha256":"483e6d658e4dab80a7d45aab623c24b5e39c9c79203de94787e94d9d2b8090e7","schema_version":"1.0","event_id":"sha256:483e6d658e4dab80a7d45aab623c24b5e39c9c79203de94787e94d9d2b8090e7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YBI344SMRJAJBXPRPNSXYJC2QB/bundle.json","state_url":"https://pith.science/pith/YBI344SMRJAJBXPRPNSXYJC2QB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YBI344SMRJAJBXPRPNSXYJC2QB/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":"2026-07-16T07:16:17Z","links":{"resolver":"https://pith.science/pith/YBI344SMRJAJBXPRPNSXYJC2QB","bundle":"https://pith.science/pith/YBI344SMRJAJBXPRPNSXYJC2QB/bundle.json","state":"https://pith.science/pith/YBI344SMRJAJBXPRPNSXYJC2QB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YBI344SMRJAJBXPRPNSXYJC2QB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:YBI344SMRJAJBXPRPNSXYJC2QB","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":"5af9300a9313896ef30d06666fd3a667d03514413e76647e2260740f69331d5b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AG","submitted_at":"2024-11-15T12:14:04Z","title_canon_sha256":"aa154ac16abd2c98f4fd9b87d4436b62087ea3599f3a43042a366efeb0c5c38d"},"schema_version":"1.0","source":{"id":"2411.10134","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.10134","created_at":"2026-07-05T09:36:00Z"},{"alias_kind":"arxiv_version","alias_value":"2411.10134v1","created_at":"2026-07-05T09:36:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.10134","created_at":"2026-07-05T09:36:00Z"},{"alias_kind":"pith_short_12","alias_value":"YBI344SMRJAJ","created_at":"2026-07-05T09:36:00Z"},{"alias_kind":"pith_short_16","alias_value":"YBI344SMRJAJBXPR","created_at":"2026-07-05T09:36:00Z"},{"alias_kind":"pith_short_8","alias_value":"YBI344SM","created_at":"2026-07-05T09:36:00Z"}],"graph_snapshots":[{"event_id":"sha256:483e6d658e4dab80a7d45aab623c24b5e39c9c79203de94787e94d9d2b8090e7","target":"graph","created_at":"2026-07-05T09:36:00Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2411.10134/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study an explicit $(2g-1)$-dimensional family of Jacobian varieties of dimension $\\frac{d-1}2(g-1)$, arising from quotient curves of unramified cyclic coverings of prime degree $d$ of hyperelliptic curves of genus $g\\ge 2$. By using a deformation argument, we prove that the generic element of the family is simple. Furthermore, we completely describe their endomorphism algebra, and we show that they admit a rank $\\frac{d-1}2-1$ group of non-polarized automorphisms. As an application of these results, we prove the generic injectivity of the Prym map for \\'etale cyclic coverings of hyperellipt","authors_text":"A. Ortega, G.P. Pirola, I. Spelta, J.C. Naranjo","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AG","submitted_at":"2024-11-15T12:14:04Z","title":"Simplicity of some Jacobians with many automorphisms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.10134","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":"sha256:381216c6167c9195bfd42a8d1bd6fcb2c30b8cc338fce739c6ded0f613fc6cf2","target":"record","created_at":"2026-07-05T09:36:00Z","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":"5af9300a9313896ef30d06666fd3a667d03514413e76647e2260740f69331d5b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AG","submitted_at":"2024-11-15T12:14:04Z","title_canon_sha256":"aa154ac16abd2c98f4fd9b87d4436b62087ea3599f3a43042a366efeb0c5c38d"},"schema_version":"1.0","source":{"id":"2411.10134","kind":"arxiv","version":1}},"canonical_sha256":"c051be724c8a4090ddf17b657c245a80762533231a2475fbc2383fb437c59da0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c051be724c8a4090ddf17b657c245a80762533231a2475fbc2383fb437c59da0","first_computed_at":"2026-07-05T09:36:00.233635Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:36:00.233635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8T2ArkX4kQXhJj/0Ogkz/iwP2MbYqmqmszt1+EGKIQbQd3KQzyzJnGC3GTu74NUxmpp93OQl+QUuEyE/wknCAA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:36:00.234132Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.10134","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:381216c6167c9195bfd42a8d1bd6fcb2c30b8cc338fce739c6ded0f613fc6cf2","sha256:483e6d658e4dab80a7d45aab623c24b5e39c9c79203de94787e94d9d2b8090e7"],"state_sha256":"245baaa0c3a76c7427525214a99709450ea9abe890f2d54543a1820c3f7e8f40"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"siHWX09FvkdUhTg0zJ9ZgBa9Vn7oJKDtLq4gGF/CGeT7a6ks8uixy4jUiWTewM7EqvDKTwgcvrmoglW3OndsAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-16T07:16:17.673782Z","bundle_sha256":"d47ba6a87c035f8bfc292511dd1800590506625684459e0fa9bbe88a4c68c967"}}