{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:HZBZ6DGWQ6HTF7LULL5RESIGBM","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":"108a346185540e45dc9c5b5fdb78810ee2019b1727abad3ad86a9e2d5d256053","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2025-04-12T12:54:40Z","title_canon_sha256":"25c858e2d288d079956eaf175f78693231c4d13d34eadfceca6ecd7f0bc72396"},"schema_version":"1.0","source":{"id":"2504.09198","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.09198","created_at":"2026-07-05T10:48:33Z"},{"alias_kind":"arxiv_version","alias_value":"2504.09198v1","created_at":"2026-07-05T10:48:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.09198","created_at":"2026-07-05T10:48:33Z"},{"alias_kind":"pith_short_12","alias_value":"HZBZ6DGWQ6HT","created_at":"2026-07-05T10:48:33Z"},{"alias_kind":"pith_short_16","alias_value":"HZBZ6DGWQ6HTF7LU","created_at":"2026-07-05T10:48:33Z"},{"alias_kind":"pith_short_8","alias_value":"HZBZ6DGW","created_at":"2026-07-05T10:48:33Z"}],"graph_snapshots":[{"event_id":"sha256:37d2efaffb3b374190b6455de793cd2d8168161c881e9c3b949e9e2f2353a8d8","target":"graph","created_at":"2026-07-05T10:48:33Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2504.09198/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recent experiments have successfully realized multi-band non-Abelian topological insulators with parity-time symmetry. Their topological classification transcends the conventional ten-fold classification, necessitating the use of non-Abelian groups, manifesting novel properties that cannot be described using integer topological invariants. The unique non-commutative multiplication of non-Abelian groups, along with the distinct topological classifications in the context of homotopy with or without a fixed base point, makes the identification of different non-Abelian topological phases more nuan","authors_text":"C. T. Chan, Lei Zhang, Ruo-Yang Zhang, Xiangxu He, Xiaohan Cui","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2025-04-12T12:54:40Z","title":"Unsupervised learning of non-Abelian multi-gap topological phases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.09198","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:c25dc47d845a8dfb7861bd1958c84b5c3908049e69c01013ff0ba5d01d8b4cf0","target":"record","created_at":"2026-07-05T10:48:33Z","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":"108a346185540e45dc9c5b5fdb78810ee2019b1727abad3ad86a9e2d5d256053","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2025-04-12T12:54:40Z","title_canon_sha256":"25c858e2d288d079956eaf175f78693231c4d13d34eadfceca6ecd7f0bc72396"},"schema_version":"1.0","source":{"id":"2504.09198","kind":"arxiv","version":1}},"canonical_sha256":"3e439f0cd6878f32fd745afb1249060b3dc0e6b6c7efd8d792d7d9df254ab115","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e439f0cd6878f32fd745afb1249060b3dc0e6b6c7efd8d792d7d9df254ab115","first_computed_at":"2026-07-05T10:48:33.213686Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:48:33.213686Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n58P9+xhh36oEc/tD1bvPF/Pme6ayAA0VTusisI1gPTL63WiTfjToi8LQpGgUeQrQkTCaB6vPBYfUoXtcrIBCw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:48:33.214148Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.09198","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c25dc47d845a8dfb7861bd1958c84b5c3908049e69c01013ff0ba5d01d8b4cf0","sha256:37d2efaffb3b374190b6455de793cd2d8168161c881e9c3b949e9e2f2353a8d8"],"state_sha256":"9e54fa2bdc36dfc0127ec3c7d63e8ca8b96894a8a8319e5a102b4b833337074b"}