{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:CWRUXQELXUR2GZLB2ACRVVD7BV","short_pith_number":"pith:CWRUXQEL","canonical_record":{"source":{"id":"1411.6143","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-11-22T17:07:29Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"7884d53277ccb560286b13f2a6330132dad3772d0bad4297801534097285ca24","abstract_canon_sha256":"e1a06c7830f0aea6768d44811f1ca855df3f976d344871e535ed163a37feb6bd"},"schema_version":"1.0"},"canonical_sha256":"15a34bc08bbd23a36561d0051ad47f0d5666e39278153e215e9192c4d9b1ce46","source":{"kind":"arxiv","id":"1411.6143","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.6143","created_at":"2026-05-18T02:33:00Z"},{"alias_kind":"arxiv_version","alias_value":"1411.6143v1","created_at":"2026-05-18T02:33:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6143","created_at":"2026-05-18T02:33:00Z"},{"alias_kind":"pith_short_12","alias_value":"CWRUXQELXUR2","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"CWRUXQELXUR2GZLB","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"CWRUXQEL","created_at":"2026-05-18T12:28:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:CWRUXQELXUR2GZLB2ACRVVD7BV","target":"record","payload":{"canonical_record":{"source":{"id":"1411.6143","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-11-22T17:07:29Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"7884d53277ccb560286b13f2a6330132dad3772d0bad4297801534097285ca24","abstract_canon_sha256":"e1a06c7830f0aea6768d44811f1ca855df3f976d344871e535ed163a37feb6bd"},"schema_version":"1.0"},"canonical_sha256":"15a34bc08bbd23a36561d0051ad47f0d5666e39278153e215e9192c4d9b1ce46","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:00.616087Z","signature_b64":"6623NMqPpqBcZI+zYwPulM1M5dfwXEgFP1E8t9GKa95RA1CmZcQW7mF/333NPLSPKM6MV6FYLemHa9wYU+1aAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15a34bc08bbd23a36561d0051ad47f0d5666e39278153e215e9192c4d9b1ce46","last_reissued_at":"2026-05-18T02:33:00.615754Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:00.615754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.6143","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":"2026-05-18T02:33:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GgTEgjouon9R5d47qn7fG5yL8ODl/muBcj2EkRm60GiEMyi1wMnhAounVxqh5MaNJlZDS8Vj8CFBTifr4xC8CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T22:56:47.149968Z"},"content_sha256":"ee89c329cdcaf26b4ab1afeecce0ee57d63c0f2ef0eca040104733ccb32b22e0","schema_version":"1.0","event_id":"sha256:ee89c329cdcaf26b4ab1afeecce0ee57d63c0f2ef0eca040104733ccb32b22e0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:CWRUXQELXUR2GZLB2ACRVVD7BV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Algebraic description of Jacobians isogeneous to certain Prym varieties with polarization (1,2)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"nlin.SI","authors_text":"V.Z. Enolski, Yu.N. Fedorov","submitted_at":"2014-11-22T17:07:29Z","abstract_excerpt":"For a class of non-hyperelliptic genus 3 curves C which are 2-fold coverings of elliptic curves E, we give an explicit algebraic description of all birationally non-equivalent genus 2 curves whose Jacobians are degree 2 isogeneous to the Prym varieties associated to such coverings. Our description is based on previous studies of Prym varieties with polarization (1,2) in connection with separation of variables in a series of classical and new algebraic integrable systems linearized on such varieties.\n  We also consider some special cases of the covering C -> E, in particular, when the correspon"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6143","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":"2026-05-18T02:33:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fza9KZ4kXH2OUyfpS3gXXIvWjDB6HK3DxiWx6cM5TQ/pKsqwfMRoQronfC5sDJQJ/1XHrrXgQAkGfl41QhpWBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T22:56:47.150309Z"},"content_sha256":"a2d725803a66df207325846ca4825fc7115efdcd1fc2c180d642eec13ea4eb8a","schema_version":"1.0","event_id":"sha256:a2d725803a66df207325846ca4825fc7115efdcd1fc2c180d642eec13ea4eb8a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CWRUXQELXUR2GZLB2ACRVVD7BV/bundle.json","state_url":"https://pith.science/pith/CWRUXQELXUR2GZLB2ACRVVD7BV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CWRUXQELXUR2GZLB2ACRVVD7BV/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":"2026-06-25T22:56:47Z","links":{"resolver":"https://pith.science/pith/CWRUXQELXUR2GZLB2ACRVVD7BV","bundle":"https://pith.science/pith/CWRUXQELXUR2GZLB2ACRVVD7BV/bundle.json","state":"https://pith.science/pith/CWRUXQELXUR2GZLB2ACRVVD7BV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CWRUXQELXUR2GZLB2ACRVVD7BV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:CWRUXQELXUR2GZLB2ACRVVD7BV","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":"e1a06c7830f0aea6768d44811f1ca855df3f976d344871e535ed163a37feb6bd","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-11-22T17:07:29Z","title_canon_sha256":"7884d53277ccb560286b13f2a6330132dad3772d0bad4297801534097285ca24"},"schema_version":"1.0","source":{"id":"1411.6143","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.6143","created_at":"2026-05-18T02:33:00Z"},{"alias_kind":"arxiv_version","alias_value":"1411.6143v1","created_at":"2026-05-18T02:33:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6143","created_at":"2026-05-18T02:33:00Z"},{"alias_kind":"pith_short_12","alias_value":"CWRUXQELXUR2","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"CWRUXQELXUR2GZLB","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"CWRUXQEL","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:a2d725803a66df207325846ca4825fc7115efdcd1fc2c180d642eec13ea4eb8a","target":"graph","created_at":"2026-05-18T02:33:00Z","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"},"paper":{"abstract_excerpt":"For a class of non-hyperelliptic genus 3 curves C which are 2-fold coverings of elliptic curves E, we give an explicit algebraic description of all birationally non-equivalent genus 2 curves whose Jacobians are degree 2 isogeneous to the Prym varieties associated to such coverings. Our description is based on previous studies of Prym varieties with polarization (1,2) in connection with separation of variables in a series of classical and new algebraic integrable systems linearized on such varieties.\n  We also consider some special cases of the covering C -> E, in particular, when the correspon","authors_text":"V.Z. Enolski, Yu.N. Fedorov","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-11-22T17:07:29Z","title":"Algebraic description of Jacobians isogeneous to certain Prym varieties with polarization (1,2)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6143","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:ee89c329cdcaf26b4ab1afeecce0ee57d63c0f2ef0eca040104733ccb32b22e0","target":"record","created_at":"2026-05-18T02:33:00Z","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":"e1a06c7830f0aea6768d44811f1ca855df3f976d344871e535ed163a37feb6bd","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-11-22T17:07:29Z","title_canon_sha256":"7884d53277ccb560286b13f2a6330132dad3772d0bad4297801534097285ca24"},"schema_version":"1.0","source":{"id":"1411.6143","kind":"arxiv","version":1}},"canonical_sha256":"15a34bc08bbd23a36561d0051ad47f0d5666e39278153e215e9192c4d9b1ce46","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15a34bc08bbd23a36561d0051ad47f0d5666e39278153e215e9192c4d9b1ce46","first_computed_at":"2026-05-18T02:33:00.615754Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:00.615754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6623NMqPpqBcZI+zYwPulM1M5dfwXEgFP1E8t9GKa95RA1CmZcQW7mF/333NPLSPKM6MV6FYLemHa9wYU+1aAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:00.616087Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.6143","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee89c329cdcaf26b4ab1afeecce0ee57d63c0f2ef0eca040104733ccb32b22e0","sha256:a2d725803a66df207325846ca4825fc7115efdcd1fc2c180d642eec13ea4eb8a"],"state_sha256":"85a985cb61b6d62fb1a37fc1d12c32122d11525e8d1a6c9a790edf46bc6efff4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PZzLbdVRUoMgibcZPxrvIcWvDXnhjbSlhRCFBrSFzLE1q8O4k4GeSyBn+AuAk00vWIVhRka/rbOtuDugOJm9Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T22:56:47.152256Z","bundle_sha256":"2dd4dd78a24fd19298be54bd26a85c51ec107164c57c372f9b307f51a47ec03d"}}