{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:6O7IRTZQP4CS5XNRK3LBQQ2HGW","short_pith_number":"pith:6O7IRTZQ","canonical_record":{"source":{"id":"1604.00738","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-04-04T04:33:13Z","cross_cats_sorted":[],"title_canon_sha256":"03f0301470eed8f5953c5c86eb7d61b72bb82203e44d5b4fd611cdc7ec5b9322","abstract_canon_sha256":"c2fd696418704bed606dfff0318aecb7174aec92f2261d35afcfdabb51d65813"},"schema_version":"1.0"},"canonical_sha256":"f3be88cf307f052eddb156d6184347359f4c2dd93032c5ceceeae1e5eee40c8c","source":{"kind":"arxiv","id":"1604.00738","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.00738","created_at":"2026-05-18T00:15:38Z"},{"alias_kind":"arxiv_version","alias_value":"1604.00738v3","created_at":"2026-05-18T00:15:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.00738","created_at":"2026-05-18T00:15:38Z"},{"alias_kind":"pith_short_12","alias_value":"6O7IRTZQP4CS","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6O7IRTZQP4CS5XNR","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6O7IRTZQ","created_at":"2026-05-18T12:30:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:6O7IRTZQP4CS5XNRK3LBQQ2HGW","target":"record","payload":{"canonical_record":{"source":{"id":"1604.00738","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-04-04T04:33:13Z","cross_cats_sorted":[],"title_canon_sha256":"03f0301470eed8f5953c5c86eb7d61b72bb82203e44d5b4fd611cdc7ec5b9322","abstract_canon_sha256":"c2fd696418704bed606dfff0318aecb7174aec92f2261d35afcfdabb51d65813"},"schema_version":"1.0"},"canonical_sha256":"f3be88cf307f052eddb156d6184347359f4c2dd93032c5ceceeae1e5eee40c8c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:38.178166Z","signature_b64":"7NUjfp6FdAl4TnQPd8ZgxMpirN0PTK/FytL910AQc2cWH4+Pryx+R6w8K7aiXXsq0UCZDaO8mg+2OSbs+N0pAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f3be88cf307f052eddb156d6184347359f4c2dd93032c5ceceeae1e5eee40c8c","last_reissued_at":"2026-05-18T00:15:38.177681Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:38.177681Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.00738","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:15:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ADA0iz9K6NGVLxRW20PyxznGjqkSOGPzZAVLqbj9OD+4rncQLgw6Ylm5bIZz4fdjH+dvJf5TMrN9GoAVYnD/DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T09:55:30.365717Z"},"content_sha256":"d3071442c36e1f860d8cef03199f0d3ad18223efe1d082014244d266eab28a74","schema_version":"1.0","event_id":"sha256:d3071442c36e1f860d8cef03199f0d3ad18223efe1d082014244d266eab28a74"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:6O7IRTZQP4CS5XNRK3LBQQ2HGW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Inose's construction and elliptic K3 surfaces with Mordell-Weil rank 15 revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Abhinav Kumar, Masato Kuwata","submitted_at":"2016-04-04T04:33:13Z","abstract_excerpt":"We describe two constructions of elliptic K3 surfaces starting from the Kummer surface of the Jacobian of a genus 2 curve. These parallel the base-change constructions of Kuwata for the Kummer surface of a product of two elliptic curves. One of these also involves the analogue of an Inose fibration. We use these methods to provide explicit examples of elliptic K3 surfaces over the rationals of geometric Mordell-Weil rank 15."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.00738","kind":"arxiv","version":3},"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":"2026-05-18T00:15:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s1XCTGQYfzCu/dg04QqnCXE9Wl8iCFa7Uv24rQqrach5VX0Q61ucMf02yIg1J5gYf44m2nw5qBjctu1rLiQ7Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T09:55:30.366052Z"},"content_sha256":"6510aa6418ecead998e95f2ea9b677f4159bc474376b0393403beec0cc1bdbcb","schema_version":"1.0","event_id":"sha256:6510aa6418ecead998e95f2ea9b677f4159bc474376b0393403beec0cc1bdbcb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6O7IRTZQP4CS5XNRK3LBQQ2HGW/bundle.json","state_url":"https://pith.science/pith/6O7IRTZQP4CS5XNRK3LBQQ2HGW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6O7IRTZQP4CS5XNRK3LBQQ2HGW/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":"2026-06-21T09:55:30Z","links":{"resolver":"https://pith.science/pith/6O7IRTZQP4CS5XNRK3LBQQ2HGW","bundle":"https://pith.science/pith/6O7IRTZQP4CS5XNRK3LBQQ2HGW/bundle.json","state":"https://pith.science/pith/6O7IRTZQP4CS5XNRK3LBQQ2HGW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6O7IRTZQP4CS5XNRK3LBQQ2HGW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:6O7IRTZQP4CS5XNRK3LBQQ2HGW","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":"c2fd696418704bed606dfff0318aecb7174aec92f2261d35afcfdabb51d65813","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-04-04T04:33:13Z","title_canon_sha256":"03f0301470eed8f5953c5c86eb7d61b72bb82203e44d5b4fd611cdc7ec5b9322"},"schema_version":"1.0","source":{"id":"1604.00738","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.00738","created_at":"2026-05-18T00:15:38Z"},{"alias_kind":"arxiv_version","alias_value":"1604.00738v3","created_at":"2026-05-18T00:15:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.00738","created_at":"2026-05-18T00:15:38Z"},{"alias_kind":"pith_short_12","alias_value":"6O7IRTZQP4CS","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6O7IRTZQP4CS5XNR","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6O7IRTZQ","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:6510aa6418ecead998e95f2ea9b677f4159bc474376b0393403beec0cc1bdbcb","target":"graph","created_at":"2026-05-18T00:15:38Z","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 describe two constructions of elliptic K3 surfaces starting from the Kummer surface of the Jacobian of a genus 2 curve. These parallel the base-change constructions of Kuwata for the Kummer surface of a product of two elliptic curves. One of these also involves the analogue of an Inose fibration. We use these methods to provide explicit examples of elliptic K3 surfaces over the rationals of geometric Mordell-Weil rank 15.","authors_text":"Abhinav Kumar, Masato Kuwata","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-04-04T04:33:13Z","title":"Inose's construction and elliptic K3 surfaces with Mordell-Weil rank 15 revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.00738","kind":"arxiv","version":3},"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:d3071442c36e1f860d8cef03199f0d3ad18223efe1d082014244d266eab28a74","target":"record","created_at":"2026-05-18T00:15:38Z","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":"c2fd696418704bed606dfff0318aecb7174aec92f2261d35afcfdabb51d65813","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-04-04T04:33:13Z","title_canon_sha256":"03f0301470eed8f5953c5c86eb7d61b72bb82203e44d5b4fd611cdc7ec5b9322"},"schema_version":"1.0","source":{"id":"1604.00738","kind":"arxiv","version":3}},"canonical_sha256":"f3be88cf307f052eddb156d6184347359f4c2dd93032c5ceceeae1e5eee40c8c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3be88cf307f052eddb156d6184347359f4c2dd93032c5ceceeae1e5eee40c8c","first_computed_at":"2026-05-18T00:15:38.177681Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:38.177681Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7NUjfp6FdAl4TnQPd8ZgxMpirN0PTK/FytL910AQc2cWH4+Pryx+R6w8K7aiXXsq0UCZDaO8mg+2OSbs+N0pAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:38.178166Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.00738","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3071442c36e1f860d8cef03199f0d3ad18223efe1d082014244d266eab28a74","sha256:6510aa6418ecead998e95f2ea9b677f4159bc474376b0393403beec0cc1bdbcb"],"state_sha256":"339b9e4e744e54ef21d4b49941773af55177a262f67aa295eaf4af9f2a5ef2bf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B6UazVweQeENJM5jzyBb6kgGLfepnSDqi5XUvJT382SuF/Dmr5MzAgj0zv8PwS1j7wfxDG+hQNfYZ/EPR4CMCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T09:55:30.367854Z","bundle_sha256":"aa600edc5645115b3ffa4d49af16befae58761da0eb3ed8a02f0a71a66d1764f"}}