{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:5KKMEAGBOHEFFDU6HQNTS52IXR","short_pith_number":"pith:5KKMEAGB","canonical_record":{"source":{"id":"1705.10154","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-29T12:48:16Z","cross_cats_sorted":[],"title_canon_sha256":"ca33f6e43d321771f0de8e1143bc3163a7bb2a8a69bc449079b0c29794726331","abstract_canon_sha256":"9ec974e77e893510def763cf7303191291c923c0e708945fe2593e584ab3175e"},"schema_version":"1.0"},"canonical_sha256":"ea94c200c171c8528e9e3c1b397748bc60505fa483dfa5d73044bf2f6479e492","source":{"kind":"arxiv","id":"1705.10154","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.10154","created_at":"2026-05-18T00:10:13Z"},{"alias_kind":"arxiv_version","alias_value":"1705.10154v2","created_at":"2026-05-18T00:10:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.10154","created_at":"2026-05-18T00:10:13Z"},{"alias_kind":"pith_short_12","alias_value":"5KKMEAGBOHEF","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5KKMEAGBOHEFFDU6","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5KKMEAGB","created_at":"2026-05-18T12:31:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:5KKMEAGBOHEFFDU6HQNTS52IXR","target":"record","payload":{"canonical_record":{"source":{"id":"1705.10154","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-29T12:48:16Z","cross_cats_sorted":[],"title_canon_sha256":"ca33f6e43d321771f0de8e1143bc3163a7bb2a8a69bc449079b0c29794726331","abstract_canon_sha256":"9ec974e77e893510def763cf7303191291c923c0e708945fe2593e584ab3175e"},"schema_version":"1.0"},"canonical_sha256":"ea94c200c171c8528e9e3c1b397748bc60505fa483dfa5d73044bf2f6479e492","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:13.689250Z","signature_b64":"SHnyBDpjFH0wX6fmlZyCy6jzYBUyANydI2kX5588KtJNc+fUpKzzAxy1Bh5C9Z/a8etMTR21UIu/BuqkJC/TBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea94c200c171c8528e9e3c1b397748bc60505fa483dfa5d73044bf2f6479e492","last_reissued_at":"2026-05-18T00:10:13.688525Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:13.688525Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.10154","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":"2026-05-18T00:10:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tGFbnEWAvJ8dPoUE/J/+1fzqIHsdhuEMNvuG9pFmSpNpApvfjyhr48L5GujDYGh+C27HbxTbcgZce5cXPzhWBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T21:46:05.974895Z"},"content_sha256":"06122b774829887af4cb984cda6df9d5af6afd9ab7a32c7332adde4d79c33930","schema_version":"1.0","event_id":"sha256:06122b774829887af4cb984cda6df9d5af6afd9ab7a32c7332adde4d79c33930"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:5KKMEAGBOHEFFDU6HQNTS52IXR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hyperelliptic Jacobians and isogenies","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Gian Pietro Pirola, Juan Carlos Naranjo","submitted_at":"2017-05-29T12:48:16Z","abstract_excerpt":"Motivated by results of Mestre and Voisin, in this note we mainly consider abelian varieties isogenous to hyperelliptic Jacobians\n  In the first part we prove that a very general hyperelliptic Jacobian of genus $g\\ge 4$ is not isogenous to a non-hyperelliptic Jacobian. As a consequence we obtain that the Intermediate Jacobian of a very general cubic threefold is not isogenous to a Jacobian. Another corollary tells that the Jacobian of a very general $d$-gonal curve of genus $g \\ge 4$ is not isogenous to a different Jacobian.\n  In the second part we consider a closed subvariety $\\mathcal Y \\sub"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.10154","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":"2026-05-18T00:10:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VEeRTBELAsU7LhR83TkUPUWEE+m3FPujF3tmq6wD+St+Wn0+l52Zc3F5t4g/53TS54esabRU64Tog0dCTWPZBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T21:46:05.975551Z"},"content_sha256":"ee7a782df2b098e9e60e563f5082c0986d9231c37676a4bb18893c89e742fda4","schema_version":"1.0","event_id":"sha256:ee7a782df2b098e9e60e563f5082c0986d9231c37676a4bb18893c89e742fda4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5KKMEAGBOHEFFDU6HQNTS52IXR/bundle.json","state_url":"https://pith.science/pith/5KKMEAGBOHEFFDU6HQNTS52IXR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5KKMEAGBOHEFFDU6HQNTS52IXR/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":"2026-05-28T21:46:05Z","links":{"resolver":"https://pith.science/pith/5KKMEAGBOHEFFDU6HQNTS52IXR","bundle":"https://pith.science/pith/5KKMEAGBOHEFFDU6HQNTS52IXR/bundle.json","state":"https://pith.science/pith/5KKMEAGBOHEFFDU6HQNTS52IXR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5KKMEAGBOHEFFDU6HQNTS52IXR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5KKMEAGBOHEFFDU6HQNTS52IXR","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":"9ec974e77e893510def763cf7303191291c923c0e708945fe2593e584ab3175e","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-29T12:48:16Z","title_canon_sha256":"ca33f6e43d321771f0de8e1143bc3163a7bb2a8a69bc449079b0c29794726331"},"schema_version":"1.0","source":{"id":"1705.10154","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.10154","created_at":"2026-05-18T00:10:13Z"},{"alias_kind":"arxiv_version","alias_value":"1705.10154v2","created_at":"2026-05-18T00:10:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.10154","created_at":"2026-05-18T00:10:13Z"},{"alias_kind":"pith_short_12","alias_value":"5KKMEAGBOHEF","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5KKMEAGBOHEFFDU6","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5KKMEAGB","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:ee7a782df2b098e9e60e563f5082c0986d9231c37676a4bb18893c89e742fda4","target":"graph","created_at":"2026-05-18T00:10:13Z","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":"Motivated by results of Mestre and Voisin, in this note we mainly consider abelian varieties isogenous to hyperelliptic Jacobians\n  In the first part we prove that a very general hyperelliptic Jacobian of genus $g\\ge 4$ is not isogenous to a non-hyperelliptic Jacobian. As a consequence we obtain that the Intermediate Jacobian of a very general cubic threefold is not isogenous to a Jacobian. Another corollary tells that the Jacobian of a very general $d$-gonal curve of genus $g \\ge 4$ is not isogenous to a different Jacobian.\n  In the second part we consider a closed subvariety $\\mathcal Y \\sub","authors_text":"Gian Pietro Pirola, Juan Carlos Naranjo","cross_cats":[],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-29T12:48:16Z","title":"Hyperelliptic Jacobians and isogenies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.10154","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":"sha256:06122b774829887af4cb984cda6df9d5af6afd9ab7a32c7332adde4d79c33930","target":"record","created_at":"2026-05-18T00:10:13Z","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":"9ec974e77e893510def763cf7303191291c923c0e708945fe2593e584ab3175e","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-29T12:48:16Z","title_canon_sha256":"ca33f6e43d321771f0de8e1143bc3163a7bb2a8a69bc449079b0c29794726331"},"schema_version":"1.0","source":{"id":"1705.10154","kind":"arxiv","version":2}},"canonical_sha256":"ea94c200c171c8528e9e3c1b397748bc60505fa483dfa5d73044bf2f6479e492","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea94c200c171c8528e9e3c1b397748bc60505fa483dfa5d73044bf2f6479e492","first_computed_at":"2026-05-18T00:10:13.688525Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:13.688525Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SHnyBDpjFH0wX6fmlZyCy6jzYBUyANydI2kX5588KtJNc+fUpKzzAxy1Bh5C9Z/a8etMTR21UIu/BuqkJC/TBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:13.689250Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.10154","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:06122b774829887af4cb984cda6df9d5af6afd9ab7a32c7332adde4d79c33930","sha256:ee7a782df2b098e9e60e563f5082c0986d9231c37676a4bb18893c89e742fda4"],"state_sha256":"173a17ba46dd14dcb69d0828cdb3b88c6634ebe5d07551bb2bf91ebbb988ce05"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8TqciHeScqlpMQ9jkN5zVO7Ao5tyGke0tPRsFifwN1NlB/GyhJ4gRo7PUtZ31weVfcwIf5P8Qy4MpyPG8kEDCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T21:46:05.978954Z","bundle_sha256":"cdb904f40a0a79e6f4ef9bc21e641423cc6e2554ccea6c528e776fd8921849e4"}}