{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:ZK4RQDUREVR7VH7W3B53Y665W3","short_pith_number":"pith:ZK4RQDUR","schema_version":"1.0","canonical_sha256":"cab9180e912563fa9ff6d87bbc7bddb6e15bbe134e80aca90743f7e0c21d6a92","source":{"kind":"arxiv","id":"1809.10824","version":2},"attestation_state":"computed","paper":{"title":"Helical Topological Edge States in a Quadrupole Phase","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Feng Liu, Hai-Yao Deng, Katsunori Wakabayashi","submitted_at":"2018-09-28T02:13:08Z","abstract_excerpt":"Topological electric quadrupole is a recently proposed concept that extends the theory of electric polarization of crystals to higher orders. Such a quadrupole phase supports topological states localized on both edges and corners. In this work, we show that in a quadrupole phase of honeycomb lattice, topological helical edge states and pseudo-spin-polarized corner states appear by making use of a pseudo-spin degree of freedom related to point group symmetry. Furthermore, we argue that a general condition for emergence of helical edge states in a (pseudo-)spinful quadrupole phase is mirror or t"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1809.10824","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-09-28T02:13:08Z","cross_cats_sorted":[],"title_canon_sha256":"d6798ab3f0a139ac592b32f818a797e64e7d9d592d8dba20d41712166ed6bd7a","abstract_canon_sha256":"864c73182fafa2789adb1d562d40a6d783059696852f8cde83d48f1a88756169"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:05.078657Z","signature_b64":"0pd6RElNPGURF9TTn5z5pcX8RJj7pe0DS6GZ3crH+XVF2o1atj2I4VLp/v5FsBx6cEmIH5bOOk5n641+AcnSAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cab9180e912563fa9ff6d87bbc7bddb6e15bbe134e80aca90743f7e0c21d6a92","last_reissued_at":"2026-05-17T23:52:05.078165Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:05.078165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Helical Topological Edge States in a Quadrupole Phase","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Feng Liu, Hai-Yao Deng, Katsunori Wakabayashi","submitted_at":"2018-09-28T02:13:08Z","abstract_excerpt":"Topological electric quadrupole is a recently proposed concept that extends the theory of electric polarization of crystals to higher orders. Such a quadrupole phase supports topological states localized on both edges and corners. In this work, we show that in a quadrupole phase of honeycomb lattice, topological helical edge states and pseudo-spin-polarized corner states appear by making use of a pseudo-spin degree of freedom related to point group symmetry. Furthermore, we argue that a general condition for emergence of helical edge states in a (pseudo-)spinful quadrupole phase is mirror or t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.10824","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1809.10824","created_at":"2026-05-17T23:52:05.078239+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.10824v2","created_at":"2026-05-17T23:52:05.078239+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.10824","created_at":"2026-05-17T23:52:05.078239+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZK4RQDUREVR7","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZK4RQDUREVR7VH7W","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZK4RQDUR","created_at":"2026-05-18T12:33:07.085635+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZK4RQDUREVR7VH7W3B53Y665W3","json":"https://pith.science/pith/ZK4RQDUREVR7VH7W3B53Y665W3.json","graph_json":"https://pith.science/api/pith-number/ZK4RQDUREVR7VH7W3B53Y665W3/graph.json","events_json":"https://pith.science/api/pith-number/ZK4RQDUREVR7VH7W3B53Y665W3/events.json","paper":"https://pith.science/paper/ZK4RQDUR"},"agent_actions":{"view_html":"https://pith.science/pith/ZK4RQDUREVR7VH7W3B53Y665W3","download_json":"https://pith.science/pith/ZK4RQDUREVR7VH7W3B53Y665W3.json","view_paper":"https://pith.science/paper/ZK4RQDUR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.10824&json=true","fetch_graph":"https://pith.science/api/pith-number/ZK4RQDUREVR7VH7W3B53Y665W3/graph.json","fetch_events":"https://pith.science/api/pith-number/ZK4RQDUREVR7VH7W3B53Y665W3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZK4RQDUREVR7VH7W3B53Y665W3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZK4RQDUREVR7VH7W3B53Y665W3/action/storage_attestation","attest_author":"https://pith.science/pith/ZK4RQDUREVR7VH7W3B53Y665W3/action/author_attestation","sign_citation":"https://pith.science/pith/ZK4RQDUREVR7VH7W3B53Y665W3/action/citation_signature","submit_replication":"https://pith.science/pith/ZK4RQDUREVR7VH7W3B53Y665W3/action/replication_record"}},"created_at":"2026-05-17T23:52:05.078239+00:00","updated_at":"2026-05-17T23:52:05.078239+00:00"}