{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4V2OIJBDMZ4QZIHFCMJ6W4JDOE","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":"ccb45600898ed2d9c2d05b31a37bc1840474a49fc3a951f08f7918bba63f93f9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2014-12-28T16:42:46Z","title_canon_sha256":"04031d4174d55dc5ad7360aadc14b5c2b45ac51c5c0053c632b2f4543f182580"},"schema_version":"1.0","source":{"id":"1412.8183","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.8183","created_at":"2026-05-18T02:30:23Z"},{"alias_kind":"arxiv_version","alias_value":"1412.8183v1","created_at":"2026-05-18T02:30:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.8183","created_at":"2026-05-18T02:30:23Z"},{"alias_kind":"pith_short_12","alias_value":"4V2OIJBDMZ4Q","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4V2OIJBDMZ4QZIHF","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4V2OIJBD","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:da02a2a1430ce819212d2ece46ff0f3d702e80c0935e8e973e8219e388f9fe6c","target":"graph","created_at":"2026-05-18T02:30:23Z","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 derive an exactly solvable one-dimensional (1D) spin model from the three-band Hubbard model with a strong spin-orbit coupling by introducing U(1) gauge fields to the isospin states. We find that it has a topological nontrivial phase characterized by Majorana end modes which are protected by a new Z_2 topological invariant related to the parity of the lattice sites (odd or even number of sites) in the spin chain. With the protection of this Z_2 topological invariant, a novel braiding of two Majorana edge states in this strictly geometric 1D chain is realized. We also discuss the possible re","authors_text":"Jian-Xin Li, Zhao-Yang Dong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2014-12-28T16:42:46Z","title":"Majorana Edge States and Braiding in an Exactly Solvable One-dimensional Spin Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.8183","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":"sha256:75c8895eb792d32242de24af6d32597b3b12d1a04224da47b4154ab9fa65504c","target":"record","created_at":"2026-05-18T02:30:23Z","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":"ccb45600898ed2d9c2d05b31a37bc1840474a49fc3a951f08f7918bba63f93f9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2014-12-28T16:42:46Z","title_canon_sha256":"04031d4174d55dc5ad7360aadc14b5c2b45ac51c5c0053c632b2f4543f182580"},"schema_version":"1.0","source":{"id":"1412.8183","kind":"arxiv","version":1}},"canonical_sha256":"e574e4242366790ca0e51313eb712371220b4da0db57eb39333c1c3e79ed6354","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e574e4242366790ca0e51313eb712371220b4da0db57eb39333c1c3e79ed6354","first_computed_at":"2026-05-18T02:30:23.872153Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:23.872153Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fNAlzqlamhZZ+RkpUOcWLk80aU3M5KqkDndbsV3NPqhFpRuvyqrqgfrtrUPlK7i2SBL2z5G7i/914Dd262sSDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:23.872854Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.8183","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:75c8895eb792d32242de24af6d32597b3b12d1a04224da47b4154ab9fa65504c","sha256:da02a2a1430ce819212d2ece46ff0f3d702e80c0935e8e973e8219e388f9fe6c"],"state_sha256":"bbe7ceacc2694f5ed76bbda81049755b27e40588f714f14910d10c4aa713b263"}