{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:IEBFCRRACAVLP4TCFFJOTF62BX","short_pith_number":"pith:IEBFCRRA","canonical_record":{"source":{"id":"1110.0106","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-01T15:05:56Z","cross_cats_sorted":[],"title_canon_sha256":"2b4444b3cf38f70b8cdf713cf1f4314605217b7b4b3e2b2f6746b62cdf908dcf","abstract_canon_sha256":"bde681931be9e9ef25fbb60cab32de876cdce4218874a35327b526d77c02b4e0"},"schema_version":"1.0"},"canonical_sha256":"4102514620102ab7f2622952e997da0dd2023a886eba857eecfa800475027b6a","source":{"kind":"arxiv","id":"1110.0106","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.0106","created_at":"2026-05-18T04:11:50Z"},{"alias_kind":"arxiv_version","alias_value":"1110.0106v1","created_at":"2026-05-18T04:11:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.0106","created_at":"2026-05-18T04:11:50Z"},{"alias_kind":"pith_short_12","alias_value":"IEBFCRRACAVL","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"IEBFCRRACAVLP4TC","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"IEBFCRRA","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:IEBFCRRACAVLP4TCFFJOTF62BX","target":"record","payload":{"canonical_record":{"source":{"id":"1110.0106","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-01T15:05:56Z","cross_cats_sorted":[],"title_canon_sha256":"2b4444b3cf38f70b8cdf713cf1f4314605217b7b4b3e2b2f6746b62cdf908dcf","abstract_canon_sha256":"bde681931be9e9ef25fbb60cab32de876cdce4218874a35327b526d77c02b4e0"},"schema_version":"1.0"},"canonical_sha256":"4102514620102ab7f2622952e997da0dd2023a886eba857eecfa800475027b6a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:11:50.751855Z","signature_b64":"vsByaMyLPcMqWvBqsCoonVGUOD+T91ZxIwIfB8mNd3jdEIG/Zc0gdzhNhX3prjXZCkOKrIW29u4M+WNkKHhtDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4102514620102ab7f2622952e997da0dd2023a886eba857eecfa800475027b6a","last_reissued_at":"2026-05-18T04:11:50.751296Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:11:50.751296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.0106","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":"2026-05-18T04:11:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yzJCW4AXtFjYIS21A85YtexlYgKreGPjK/8dmTU9w3rVpRIH2SCWahHByA5zzpR3PYfkgutAXbWMM8+MJMjgDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T15:34:08.989988Z"},"content_sha256":"ef7a9f6098a1e7e139b0227e0b854fa445fe19af3f10405e6487b66e82aed69a","schema_version":"1.0","event_id":"sha256:ef7a9f6098a1e7e139b0227e0b854fa445fe19af3f10405e6487b66e82aed69a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:IEBFCRRACAVLP4TCFFJOTF62BX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometry and Arithmetic of Maschke's Calabi-Yau Threefold","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Bert van Geemen, Gilberto Bini","submitted_at":"2011-10-01T15:05:56Z","abstract_excerpt":"Maschke's Calabi-Yau threefold is the double cover of projective three space branched along Maschke's octic surface. This surface is defined by the lowest degree invariant of a certain finite group acting on a four dimensional vector space. Using this group, we show that the middle Betti cohomology group of the threefold decomposes into the direct sum of 150 two-dimensional Hodge substructures. We exhibit one dimensional families of rational curves on the threefold and verify that the associated Abel-Jacobi map is non-trivial. By counting the number of points over finite fields, we determine t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.0106","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":"2026-05-18T04:11:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FtZdVH0NTSkVzwE+w7ijYnAylROhPqDjv2W4Mym1fKgrLkJZ0/LZaGezsCRXydFY3cCXI6hoA1F5DtQ8RGDtBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T15:34:08.990467Z"},"content_sha256":"6866c8a156401903f4fcb0e0248bd5996946e2706d00b0df5fa1aeb57182b5bc","schema_version":"1.0","event_id":"sha256:6866c8a156401903f4fcb0e0248bd5996946e2706d00b0df5fa1aeb57182b5bc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IEBFCRRACAVLP4TCFFJOTF62BX/bundle.json","state_url":"https://pith.science/pith/IEBFCRRACAVLP4TCFFJOTF62BX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IEBFCRRACAVLP4TCFFJOTF62BX/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":"2026-05-27T15:34:08Z","links":{"resolver":"https://pith.science/pith/IEBFCRRACAVLP4TCFFJOTF62BX","bundle":"https://pith.science/pith/IEBFCRRACAVLP4TCFFJOTF62BX/bundle.json","state":"https://pith.science/pith/IEBFCRRACAVLP4TCFFJOTF62BX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IEBFCRRACAVLP4TCFFJOTF62BX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:IEBFCRRACAVLP4TCFFJOTF62BX","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":"bde681931be9e9ef25fbb60cab32de876cdce4218874a35327b526d77c02b4e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-01T15:05:56Z","title_canon_sha256":"2b4444b3cf38f70b8cdf713cf1f4314605217b7b4b3e2b2f6746b62cdf908dcf"},"schema_version":"1.0","source":{"id":"1110.0106","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.0106","created_at":"2026-05-18T04:11:50Z"},{"alias_kind":"arxiv_version","alias_value":"1110.0106v1","created_at":"2026-05-18T04:11:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.0106","created_at":"2026-05-18T04:11:50Z"},{"alias_kind":"pith_short_12","alias_value":"IEBFCRRACAVL","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"IEBFCRRACAVLP4TC","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"IEBFCRRA","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:6866c8a156401903f4fcb0e0248bd5996946e2706d00b0df5fa1aeb57182b5bc","target":"graph","created_at":"2026-05-18T04:11:50Z","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":"Maschke's Calabi-Yau threefold is the double cover of projective three space branched along Maschke's octic surface. This surface is defined by the lowest degree invariant of a certain finite group acting on a four dimensional vector space. Using this group, we show that the middle Betti cohomology group of the threefold decomposes into the direct sum of 150 two-dimensional Hodge substructures. We exhibit one dimensional families of rational curves on the threefold and verify that the associated Abel-Jacobi map is non-trivial. By counting the number of points over finite fields, we determine t","authors_text":"Bert van Geemen, Gilberto Bini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-01T15:05:56Z","title":"Geometry and Arithmetic of Maschke's Calabi-Yau Threefold"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.0106","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:ef7a9f6098a1e7e139b0227e0b854fa445fe19af3f10405e6487b66e82aed69a","target":"record","created_at":"2026-05-18T04:11:50Z","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":"bde681931be9e9ef25fbb60cab32de876cdce4218874a35327b526d77c02b4e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-01T15:05:56Z","title_canon_sha256":"2b4444b3cf38f70b8cdf713cf1f4314605217b7b4b3e2b2f6746b62cdf908dcf"},"schema_version":"1.0","source":{"id":"1110.0106","kind":"arxiv","version":1}},"canonical_sha256":"4102514620102ab7f2622952e997da0dd2023a886eba857eecfa800475027b6a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4102514620102ab7f2622952e997da0dd2023a886eba857eecfa800475027b6a","first_computed_at":"2026-05-18T04:11:50.751296Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:11:50.751296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vsByaMyLPcMqWvBqsCoonVGUOD+T91ZxIwIfB8mNd3jdEIG/Zc0gdzhNhX3prjXZCkOKrIW29u4M+WNkKHhtDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:11:50.751855Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.0106","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef7a9f6098a1e7e139b0227e0b854fa445fe19af3f10405e6487b66e82aed69a","sha256:6866c8a156401903f4fcb0e0248bd5996946e2706d00b0df5fa1aeb57182b5bc"],"state_sha256":"067e99c86666b7a1968a0e020fd23a7f8554b0e187f04f77dcd9f50293e3f575"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pNGZIlXz/Ld/RvuPf4xpnee6nPYASlnrUQFhIYKncaRt9StBLBffMpS+LzZhgXnZzN66Eedvdgj0P3pZJDWMBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T15:34:08.993566Z","bundle_sha256":"c6d820467b69d6d4427378185fddfaa9c308e2334d31490079b4178b7f14b11d"}}