{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2RXUC2DC6MQ7HWTG4YF5HMCZJY","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":"9702a4f66fc9587495c42eb59ddf3a38faa6141987a89eb7e3e746a1edc8db21","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-10-25T14:25:57Z","title_canon_sha256":"34f3724a63b1aab832de7b4508f6e2f73f4d6ad52342db73d7f6f27adb44ab19"},"schema_version":"1.0","source":{"id":"1810.10892","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.10892","created_at":"2026-05-18T00:02:18Z"},{"alias_kind":"arxiv_version","alias_value":"1810.10892v1","created_at":"2026-05-18T00:02:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.10892","created_at":"2026-05-18T00:02:18Z"},{"alias_kind":"pith_short_12","alias_value":"2RXUC2DC6MQ7","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"2RXUC2DC6MQ7HWTG","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"2RXUC2DC","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:fc81020b3512fe930d7306087fdfb5548bbdcfcfb5d0b6331e2d9db8b5c3e891","target":"graph","created_at":"2026-05-18T00:02:18Z","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 give a Hodge theoretic criterion to characterize locally the period domains of certain projective manifolds to be complex balls.","authors_text":"Kefeng Liu, Yang Shen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-10-25T14:25:57Z","title":"Moduli spaces as ball quotients I, local theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.10892","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":"sha256:552c6efae9b15b5dc3b352d568960107836f1bb8a1b975b7bc5ba92d35d82558","target":"record","created_at":"2026-05-18T00:02:18Z","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":"9702a4f66fc9587495c42eb59ddf3a38faa6141987a89eb7e3e746a1edc8db21","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-10-25T14:25:57Z","title_canon_sha256":"34f3724a63b1aab832de7b4508f6e2f73f4d6ad52342db73d7f6f27adb44ab19"},"schema_version":"1.0","source":{"id":"1810.10892","kind":"arxiv","version":1}},"canonical_sha256":"d46f416862f321f3da66e60bd3b0594e254316b14e2ecc035b3d90ec610735f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d46f416862f321f3da66e60bd3b0594e254316b14e2ecc035b3d90ec610735f6","first_computed_at":"2026-05-18T00:02:18.911081Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:18.911081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FF2O70eaeIaKsuhhB4pWf+v1YLIgBDusfE+tNKUMl1dF6XAAYqQE1E1VdPj4UNM/Q68ozO6Glxq2QXoZKTwEBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:18.911538Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.10892","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:552c6efae9b15b5dc3b352d568960107836f1bb8a1b975b7bc5ba92d35d82558","sha256:fc81020b3512fe930d7306087fdfb5548bbdcfcfb5d0b6331e2d9db8b5c3e891"],"state_sha256":"c77bbf36ee791b6e8aca4fe09a0a562ffe206f1540b509855ba31e16ee1fefdd"}