{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QDRAJAMQW5GRKOS7FIJYKAB3YD","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":"edba29a00e3c38cfad34c805c7f384a92e73707aeedb483e0893f8af214004f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-06-14T07:45:08Z","title_canon_sha256":"b08a7454d4a06bb5b6adb593d4ceccf6428463f44c98eb46161a00369da6b18f"},"schema_version":"1.0","source":{"id":"1706.04342","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.04342","created_at":"2026-05-18T00:41:58Z"},{"alias_kind":"arxiv_version","alias_value":"1706.04342v1","created_at":"2026-05-18T00:41:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.04342","created_at":"2026-05-18T00:41:58Z"},{"alias_kind":"pith_short_12","alias_value":"QDRAJAMQW5GR","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"QDRAJAMQW5GRKOS7","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"QDRAJAMQ","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:fce95bc3a5ccba15cc7860f7c5bef2c0c811100c71f74526095aa34b53a86180","target":"graph","created_at":"2026-05-18T00:41:58Z","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":"The purpose of the article is to study a foliation associated to a lattice-equivariant harmonic map of small rank from a complex ball to another. The result is related to rigidity of some complex ball quotients.","authors_text":"Sai-Kee Yeung","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-06-14T07:45:08Z","title":"Foliations associated to harmonic maps and some complex two ball quotients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.04342","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:bbed3a36a8721f2e9466a1b811713c546298b67a6c97659eb3c83fd108c08fb4","target":"record","created_at":"2026-05-18T00:41:58Z","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":"edba29a00e3c38cfad34c805c7f384a92e73707aeedb483e0893f8af214004f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-06-14T07:45:08Z","title_canon_sha256":"b08a7454d4a06bb5b6adb593d4ceccf6428463f44c98eb46161a00369da6b18f"},"schema_version":"1.0","source":{"id":"1706.04342","kind":"arxiv","version":1}},"canonical_sha256":"80e2048190b74d153a5f2a1385003bc0e449b4b1cf75af8f3001b4b61b453801","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80e2048190b74d153a5f2a1385003bc0e449b4b1cf75af8f3001b4b61b453801","first_computed_at":"2026-05-18T00:41:58.751145Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:58.751145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q6O0QsjKvrRu6sszPOIPCDkfxxA/nKxY7TqzTcKEVqW8eByZAuWyQ4kSjZoeEa+HEseJYroX9eWRrPc2SJ1VBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:58.751662Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.04342","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bbed3a36a8721f2e9466a1b811713c546298b67a6c97659eb3c83fd108c08fb4","sha256:fce95bc3a5ccba15cc7860f7c5bef2c0c811100c71f74526095aa34b53a86180"],"state_sha256":"d29241fe09b454fe3de285b8e41dd5c8eeecee516266b63600d4bbfa00ed1a17"}