{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:FT5S6ZBHGZY2FYKUZULOYSYKL4","short_pith_number":"pith:FT5S6ZBH","canonical_record":{"source":{"id":"1806.07859","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-06-20T17:38:05Z","cross_cats_sorted":[],"title_canon_sha256":"677b031bda87846f0f0873edfd49511b4e23f5fae33c96eed6d2cd2883dc06ef","abstract_canon_sha256":"3ae7dff1c455a5550e35ce0fa3a9df4b2ff2cd2f8416a9d32fda7e4607f726e7"},"schema_version":"1.0"},"canonical_sha256":"2cfb2f64273671a2e154cd16ec4b0a5f16916b81efca4e5e2992c01b61db30e9","source":{"kind":"arxiv","id":"1806.07859","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.07859","created_at":"2026-05-17T23:40:24Z"},{"alias_kind":"arxiv_version","alias_value":"1806.07859v2","created_at":"2026-05-17T23:40:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.07859","created_at":"2026-05-17T23:40:24Z"},{"alias_kind":"pith_short_12","alias_value":"FT5S6ZBHGZY2","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"FT5S6ZBHGZY2FYKU","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"FT5S6ZBH","created_at":"2026-05-18T12:32:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:FT5S6ZBHGZY2FYKUZULOYSYKL4","target":"record","payload":{"canonical_record":{"source":{"id":"1806.07859","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-06-20T17:38:05Z","cross_cats_sorted":[],"title_canon_sha256":"677b031bda87846f0f0873edfd49511b4e23f5fae33c96eed6d2cd2883dc06ef","abstract_canon_sha256":"3ae7dff1c455a5550e35ce0fa3a9df4b2ff2cd2f8416a9d32fda7e4607f726e7"},"schema_version":"1.0"},"canonical_sha256":"2cfb2f64273671a2e154cd16ec4b0a5f16916b81efca4e5e2992c01b61db30e9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:24.072186Z","signature_b64":"yeUAB3Ml07Ih/RuD3IHcSILK1TRArlpsRbN4QzziMbdjBQ33YhtJiroLocUBB0b1DTAP0xo9+z878iW14A7UAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2cfb2f64273671a2e154cd16ec4b0a5f16916b81efca4e5e2992c01b61db30e9","last_reissued_at":"2026-05-17T23:40:24.071445Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:24.071445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.07859","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":"2026-05-17T23:40:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/fXIUL334ki4YSmQS+m4DT/VN2MCbvpwqvpVnAWsiagB8WOKYU9Ab0Igt6b5UKISOCQ0empu7QqtZhIXgdqjDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T12:59:48.373394Z"},"content_sha256":"02fb669a64aec611d716dd7018f51caba334b9e9374304db6d2cb7ba9497089c","schema_version":"1.0","event_id":"sha256:02fb669a64aec611d716dd7018f51caba334b9e9374304db6d2cb7ba9497089c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:FT5S6ZBHGZY2FYKUZULOYSYKL4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometry of Schreieder's varieties and some elliptic and K3 moduli curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Laure Flapan","submitted_at":"2018-06-20T17:38:05Z","abstract_excerpt":"We study the geometry of a class of $n$-dimensional smooth projective varieties constructed by Schreieder for their noteworthy Hodge-theoretic properties. In particular, we realize Schreieder's surfaces as elliptic modular surfaces and Schreieder's threefolds as one-dimensional families of Picard rank $19$ $K3$ surfaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.07859","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":"2026-05-17T23:40:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7VzF3+0vhalymkU7qrqnA6dHSmdjbSPnHMro5v63bsYT8NWrVdPy8bcsOt6aUPrD1+OY7Mf9QPnYgk/YmqHLBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T12:59:48.374055Z"},"content_sha256":"44956a32fca304c496972c5aa110e9d70450c6b1446b14ad8fafeb30888c7c36","schema_version":"1.0","event_id":"sha256:44956a32fca304c496972c5aa110e9d70450c6b1446b14ad8fafeb30888c7c36"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FT5S6ZBHGZY2FYKUZULOYSYKL4/bundle.json","state_url":"https://pith.science/pith/FT5S6ZBHGZY2FYKUZULOYSYKL4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FT5S6ZBHGZY2FYKUZULOYSYKL4/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":"2026-06-10T12:59:48Z","links":{"resolver":"https://pith.science/pith/FT5S6ZBHGZY2FYKUZULOYSYKL4","bundle":"https://pith.science/pith/FT5S6ZBHGZY2FYKUZULOYSYKL4/bundle.json","state":"https://pith.science/pith/FT5S6ZBHGZY2FYKUZULOYSYKL4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FT5S6ZBHGZY2FYKUZULOYSYKL4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FT5S6ZBHGZY2FYKUZULOYSYKL4","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":"3ae7dff1c455a5550e35ce0fa3a9df4b2ff2cd2f8416a9d32fda7e4607f726e7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-06-20T17:38:05Z","title_canon_sha256":"677b031bda87846f0f0873edfd49511b4e23f5fae33c96eed6d2cd2883dc06ef"},"schema_version":"1.0","source":{"id":"1806.07859","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.07859","created_at":"2026-05-17T23:40:24Z"},{"alias_kind":"arxiv_version","alias_value":"1806.07859v2","created_at":"2026-05-17T23:40:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.07859","created_at":"2026-05-17T23:40:24Z"},{"alias_kind":"pith_short_12","alias_value":"FT5S6ZBHGZY2","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"FT5S6ZBHGZY2FYKU","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"FT5S6ZBH","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:44956a32fca304c496972c5aa110e9d70450c6b1446b14ad8fafeb30888c7c36","target":"graph","created_at":"2026-05-17T23:40:24Z","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 study the geometry of a class of $n$-dimensional smooth projective varieties constructed by Schreieder for their noteworthy Hodge-theoretic properties. In particular, we realize Schreieder's surfaces as elliptic modular surfaces and Schreieder's threefolds as one-dimensional families of Picard rank $19$ $K3$ surfaces.","authors_text":"Laure Flapan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-06-20T17:38:05Z","title":"Geometry of Schreieder's varieties and some elliptic and K3 moduli curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.07859","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":"sha256:02fb669a64aec611d716dd7018f51caba334b9e9374304db6d2cb7ba9497089c","target":"record","created_at":"2026-05-17T23:40:24Z","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":"3ae7dff1c455a5550e35ce0fa3a9df4b2ff2cd2f8416a9d32fda7e4607f726e7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-06-20T17:38:05Z","title_canon_sha256":"677b031bda87846f0f0873edfd49511b4e23f5fae33c96eed6d2cd2883dc06ef"},"schema_version":"1.0","source":{"id":"1806.07859","kind":"arxiv","version":2}},"canonical_sha256":"2cfb2f64273671a2e154cd16ec4b0a5f16916b81efca4e5e2992c01b61db30e9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2cfb2f64273671a2e154cd16ec4b0a5f16916b81efca4e5e2992c01b61db30e9","first_computed_at":"2026-05-17T23:40:24.071445Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:24.071445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yeUAB3Ml07Ih/RuD3IHcSILK1TRArlpsRbN4QzziMbdjBQ33YhtJiroLocUBB0b1DTAP0xo9+z878iW14A7UAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:24.072186Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.07859","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02fb669a64aec611d716dd7018f51caba334b9e9374304db6d2cb7ba9497089c","sha256:44956a32fca304c496972c5aa110e9d70450c6b1446b14ad8fafeb30888c7c36"],"state_sha256":"055c251656232be1e6c496520c759c3b707a91a71d8a9e374e90218d90c38374"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y0nwegtyL03BQkZ3DdzkBTzt4MjVaICZsajM2U21TQbQUxtjrA5Zw54LwqzYA50gcaFoU2SRi8wEG/8ENJ3pAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T12:59:48.378003Z","bundle_sha256":"e17840d9812d522128bd18417b2a16b65c5eef59022194c44ce752e32aa02f97"}}