{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:QMYUDBFXWED6NXEXOGDYRIZBWF","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":"4e60f9a107039ca13ea72b47a4dc97dbf7f51a93de2107f9f25b9fea677f7735","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-04-15T20:52:19Z","title_canon_sha256":"41442c137828ba67d498db042efc4f3ee0335f972e7d0c2c95450f81183374eb"},"schema_version":"1.0","source":{"id":"1304.4264","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.4264","created_at":"2026-05-18T03:27:53Z"},{"alias_kind":"arxiv_version","alias_value":"1304.4264v1","created_at":"2026-05-18T03:27:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.4264","created_at":"2026-05-18T03:27:53Z"},{"alias_kind":"pith_short_12","alias_value":"QMYUDBFXWED6","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QMYUDBFXWED6NXEX","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QMYUDBFX","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:2da89fdb4fc608e7fadbbdf966005461c8db9eff0f373472e79b4ed6da90a0f6","target":"graph","created_at":"2026-05-18T03:27:53Z","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 classify all harmonic maps of finite uniton number from a Riemann surface into SU(n) in terms of certain pieces of the Bruhat decomposition of the subgroup of algebraic loops in SU(n). We give a description of the \"Frenet frame data\" for such harmonic maps in a given class.","authors_text":"N. Correia, R. Pacheco","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-04-15T20:52:19Z","title":"Extended solutions of the harmonic map equation in the special unitary group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.4264","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:d029c7f1e8ef584aa5c36fa77cf4f1d141e31add35973a193e8f1bd5ce3ae642","target":"record","created_at":"2026-05-18T03:27:53Z","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":"4e60f9a107039ca13ea72b47a4dc97dbf7f51a93de2107f9f25b9fea677f7735","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-04-15T20:52:19Z","title_canon_sha256":"41442c137828ba67d498db042efc4f3ee0335f972e7d0c2c95450f81183374eb"},"schema_version":"1.0","source":{"id":"1304.4264","kind":"arxiv","version":1}},"canonical_sha256":"83314184b7b107e6dc97718788a321b14c73ef541e39efb08b905ae93b257ff5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"83314184b7b107e6dc97718788a321b14c73ef541e39efb08b905ae93b257ff5","first_computed_at":"2026-05-18T03:27:53.596620Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:27:53.596620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XBKAoESv0q3ec4hEeyAc79QQAEjVNzitUt20XfHx38AINCZ0dGK0xWD3t2XaTHW0zL2BoSs8Q/f6ZLHlVWRJAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:27:53.597232Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.4264","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d029c7f1e8ef584aa5c36fa77cf4f1d141e31add35973a193e8f1bd5ce3ae642","sha256:2da89fdb4fc608e7fadbbdf966005461c8db9eff0f373472e79b4ed6da90a0f6"],"state_sha256":"3c5ba8cceb8eb73f2cfd6c0546bbdbc77f094bcbee2ce176ac3d50b60e357725"}