{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:6SIJOR76J5LPMPXFQIXJRBLX42","short_pith_number":"pith:6SIJOR76","canonical_record":{"source":{"id":"1905.06486","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-05-16T01:18:04Z","cross_cats_sorted":[],"title_canon_sha256":"46de8a0f0de6611b0541d298616fb6638da9d4cd968fd06428e1f85d2f00c406","abstract_canon_sha256":"158ac2e4404c005c107831ec9a8ed252b8704506166820e74b863b0c7a206a5d"},"schema_version":"1.0"},"canonical_sha256":"f4909747fe4f56f63ee5822e988577e6bacedb1067079fc02fc3f7ca06421dcb","source":{"kind":"arxiv","id":"1905.06486","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.06486","created_at":"2026-05-17T23:42:02Z"},{"alias_kind":"arxiv_version","alias_value":"1905.06486v2","created_at":"2026-05-17T23:42:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.06486","created_at":"2026-05-17T23:42:02Z"},{"alias_kind":"pith_short_12","alias_value":"6SIJOR76J5LP","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"6SIJOR76J5LPMPXF","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"6SIJOR76","created_at":"2026-05-18T12:33:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:6SIJOR76J5LPMPXFQIXJRBLX42","target":"record","payload":{"canonical_record":{"source":{"id":"1905.06486","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-05-16T01:18:04Z","cross_cats_sorted":[],"title_canon_sha256":"46de8a0f0de6611b0541d298616fb6638da9d4cd968fd06428e1f85d2f00c406","abstract_canon_sha256":"158ac2e4404c005c107831ec9a8ed252b8704506166820e74b863b0c7a206a5d"},"schema_version":"1.0"},"canonical_sha256":"f4909747fe4f56f63ee5822e988577e6bacedb1067079fc02fc3f7ca06421dcb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:02.177465Z","signature_b64":"vLJVQi0yuhL9UZO70GAizQtoIlNS+sL9IXqcKGVA1F5DXutsZEELKVXMKZDZ0Vhv0YJuXMQp2EVvqsw+WZ5KAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f4909747fe4f56f63ee5822e988577e6bacedb1067079fc02fc3f7ca06421dcb","last_reissued_at":"2026-05-17T23:42:02.176953Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:02.176953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.06486","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":"2026-05-17T23:42:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H7ir5LEdBNaNrOZVRx15bU/rhnD6yy7nInGBYhU0HQtnjEeH7/+WWYNBSq9ZXJFfQhSDTsVaIxNGexaw40OiBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T17:40:25.257157Z"},"content_sha256":"e587b0af3245e2e1c93308bb183a6696e474b6d0def74f8f45bae5ad31471827","schema_version":"1.0","event_id":"sha256:e587b0af3245e2e1c93308bb183a6696e474b6d0def74f8f45bae5ad31471827"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:6SIJOR76J5LPMPXFQIXJRBLX42","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Distribuation of CM points of an infinite series of complete Calabi-Yau moduli spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jinxing Xu, Mao Sheng","submitted_at":"2019-05-16T01:18:04Z","abstract_excerpt":"In the infinite series of complete families of Calabi-Yau manifolds $\\tilde{f}_n: \\tilde{\\mathcal{X}}_n\\rightarrow \\mathfrak{M}_{n, n+3}$, where $n$ is an odd number, arising from cyclic covers of $\\mathbb{P}^n$ branching along hyperplane arrangements (\\cite{SXZ13}), the set of CM points is dense for $n=1, 3$ and finite for $n\\geq 5$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.06486","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":"2026-05-17T23:42:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gX+WjQvY5pZ2/BZmosmM9k5MaY5Tfqw/dO4qdBClxha5nKZRkMYpaiSHcnDscf2WJi063cAZM5DKPtmzuxIdCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T17:40:25.257881Z"},"content_sha256":"b0315cf27e3a0bc862f060a55a97bcb1162942d1a4c48636c35e72848c6f173e","schema_version":"1.0","event_id":"sha256:b0315cf27e3a0bc862f060a55a97bcb1162942d1a4c48636c35e72848c6f173e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6SIJOR76J5LPMPXFQIXJRBLX42/bundle.json","state_url":"https://pith.science/pith/6SIJOR76J5LPMPXFQIXJRBLX42/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6SIJOR76J5LPMPXFQIXJRBLX42/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":"2026-05-30T17:40:25Z","links":{"resolver":"https://pith.science/pith/6SIJOR76J5LPMPXFQIXJRBLX42","bundle":"https://pith.science/pith/6SIJOR76J5LPMPXFQIXJRBLX42/bundle.json","state":"https://pith.science/pith/6SIJOR76J5LPMPXFQIXJRBLX42/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6SIJOR76J5LPMPXFQIXJRBLX42/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:6SIJOR76J5LPMPXFQIXJRBLX42","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":"158ac2e4404c005c107831ec9a8ed252b8704506166820e74b863b0c7a206a5d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-05-16T01:18:04Z","title_canon_sha256":"46de8a0f0de6611b0541d298616fb6638da9d4cd968fd06428e1f85d2f00c406"},"schema_version":"1.0","source":{"id":"1905.06486","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.06486","created_at":"2026-05-17T23:42:02Z"},{"alias_kind":"arxiv_version","alias_value":"1905.06486v2","created_at":"2026-05-17T23:42:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.06486","created_at":"2026-05-17T23:42:02Z"},{"alias_kind":"pith_short_12","alias_value":"6SIJOR76J5LP","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"6SIJOR76J5LPMPXF","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"6SIJOR76","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:b0315cf27e3a0bc862f060a55a97bcb1162942d1a4c48636c35e72848c6f173e","target":"graph","created_at":"2026-05-17T23:42:02Z","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":"In the infinite series of complete families of Calabi-Yau manifolds $\\tilde{f}_n: \\tilde{\\mathcal{X}}_n\\rightarrow \\mathfrak{M}_{n, n+3}$, where $n$ is an odd number, arising from cyclic covers of $\\mathbb{P}^n$ branching along hyperplane arrangements (\\cite{SXZ13}), the set of CM points is dense for $n=1, 3$ and finite for $n\\geq 5$.","authors_text":"Jinxing Xu, Mao Sheng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-05-16T01:18:04Z","title":"Distribuation of CM points of an infinite series of complete Calabi-Yau moduli spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.06486","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:e587b0af3245e2e1c93308bb183a6696e474b6d0def74f8f45bae5ad31471827","target":"record","created_at":"2026-05-17T23:42:02Z","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":"158ac2e4404c005c107831ec9a8ed252b8704506166820e74b863b0c7a206a5d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-05-16T01:18:04Z","title_canon_sha256":"46de8a0f0de6611b0541d298616fb6638da9d4cd968fd06428e1f85d2f00c406"},"schema_version":"1.0","source":{"id":"1905.06486","kind":"arxiv","version":2}},"canonical_sha256":"f4909747fe4f56f63ee5822e988577e6bacedb1067079fc02fc3f7ca06421dcb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f4909747fe4f56f63ee5822e988577e6bacedb1067079fc02fc3f7ca06421dcb","first_computed_at":"2026-05-17T23:42:02.176953Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:02.176953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vLJVQi0yuhL9UZO70GAizQtoIlNS+sL9IXqcKGVA1F5DXutsZEELKVXMKZDZ0Vhv0YJuXMQp2EVvqsw+WZ5KAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:02.177465Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.06486","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e587b0af3245e2e1c93308bb183a6696e474b6d0def74f8f45bae5ad31471827","sha256:b0315cf27e3a0bc862f060a55a97bcb1162942d1a4c48636c35e72848c6f173e"],"state_sha256":"e80201222253bab892d00e6602f5a90311cafe64fcd462174d2e6b8af5e62689"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Srj8pB7gw09RtYds8lv6iWobKMzHbh+srn32831SIEtAIACdIdSC+m2imR+ljZR3HDwWQ4KFnY7mC16g66dDAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T17:40:25.262463Z","bundle_sha256":"126c5b00a2ad92806f05218871667a2e1c5c34ffddd7cebae0390b4e4f466fd3"}}