{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:EL2FTC5QRGKY7AHQ2TOSHNS2VI","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":"14a2e2405708596c4a247ebfa462fa2f0b8afa0ecaacec3919d3ee41ad707423","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-10-23T06:24:19Z","title_canon_sha256":"0cc01cc39c884077d9ea67296612892824717c8fc2c2c85dc518a38c2f183da3"},"schema_version":"1.0","source":{"id":"1610.07125","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.07125","created_at":"2026-05-18T01:01:35Z"},{"alias_kind":"arxiv_version","alias_value":"1610.07125v1","created_at":"2026-05-18T01:01:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.07125","created_at":"2026-05-18T01:01:35Z"},{"alias_kind":"pith_short_12","alias_value":"EL2FTC5QRGKY","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"EL2FTC5QRGKY7AHQ","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"EL2FTC5Q","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:2aef9c8551e354da026646f176d4f81bc1d06df95470972ce3070e2a1e28cd6e","target":"graph","created_at":"2026-05-18T01:01:35Z","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 [HLY1], Hosono, Lian, and Yau posed a conjecture characterizing the set of solutions to certain Gelfand-Kapranov-Zelevinsky hypergeometric equations which are realized as periods of Calabi-Yau hypersurfaces in a Gorenstein Fano toric variety $X$. We prove this conjecture in the case where $X$ is a complex projective space.","authors_text":"Bong H. Lian, Minxian Zhu","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-10-23T06:24:19Z","title":"On the hyperplane conjecture for periods of Calabi-Yau hypersurfaces in $\\mathbb P^n$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.07125","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":"sha256:69daf8dec5846bf1ed72e2ca0bbb4767424f2821e9c19335ca512ea9d672ec87","target":"record","created_at":"2026-05-18T01:01:35Z","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":"14a2e2405708596c4a247ebfa462fa2f0b8afa0ecaacec3919d3ee41ad707423","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-10-23T06:24:19Z","title_canon_sha256":"0cc01cc39c884077d9ea67296612892824717c8fc2c2c85dc518a38c2f183da3"},"schema_version":"1.0","source":{"id":"1610.07125","kind":"arxiv","version":1}},"canonical_sha256":"22f4598bb089958f80f0d4dd23b65aaa175f1eb4db06de296285d0e244f1091b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22f4598bb089958f80f0d4dd23b65aaa175f1eb4db06de296285d0e244f1091b","first_computed_at":"2026-05-18T01:01:35.182759Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:35.182759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ojun8akN1mjow9648Il0naheNUZWXVqK+rfOvb0FLGnNB2OG3c/thK66Q09DhRUsY01wCm7uzcv9L3JcaymKBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:35.183351Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.07125","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:69daf8dec5846bf1ed72e2ca0bbb4767424f2821e9c19335ca512ea9d672ec87","sha256:2aef9c8551e354da026646f176d4f81bc1d06df95470972ce3070e2a1e28cd6e"],"state_sha256":"8a98c10015f85cc0107f79ba884dfeff17a429d8ea75e4af8168a83253f77d28"}