{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:Z5II4VYV5RXJTXQLXOS56ZJNI7","short_pith_number":"pith:Z5II4VYV","schema_version":"1.0","canonical_sha256":"cf508e5715ec6e99de0bbba5df652d47e3feb36ad6ecae30baaba8ab8c1e8df3","source":{"kind":"arxiv","id":"1602.05577","version":1},"attestation_state":"computed","paper":{"title":"Topological Number of Edge States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.mes-hall","authors_text":"Koji Hashimoto, Taro Kimura","submitted_at":"2016-02-17T21:00:01Z","abstract_excerpt":"We show that the edge states of the four-dimensional class A system can have topological charges, which are characterized by Abelian/non-Abelian monopoles. The edge topological charges are a new feature of relations among theories with different dimensions. From this novel viewpoint, we provide a non-Abelian analogue of the TKNN number as an edge topological charge, which is defined by an SU(2) 't Hooft-Polyakov BPS monopole through an equivalence to Nahm construction. Furthermore, putting a constant magnetic field yields an edge monopole in a non-commutative momentum space, where D-brane meth"},"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":"1602.05577","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-02-17T21:00:01Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"c92fa16b96830c42ce28e7a241f8644189c06f84a136a2e303a7f8dd9bf38e1b","abstract_canon_sha256":"1da5a14571d5643845c170bbefde00635459398bc35e66f7be6b89124489c42a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:48.927004Z","signature_b64":"UiM8PUtDJ3zu24h8oqNN4Vbk2SGeAkatu6X14PNWLdp2CtIq4KwdP3yuZb5A7V4p1jti5Cp3OC/IXh8K4zYBAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf508e5715ec6e99de0bbba5df652d47e3feb36ad6ecae30baaba8ab8c1e8df3","last_reissued_at":"2026-05-18T01:12:48.926667Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:48.926667Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topological Number of Edge States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.mes-hall","authors_text":"Koji Hashimoto, Taro Kimura","submitted_at":"2016-02-17T21:00:01Z","abstract_excerpt":"We show that the edge states of the four-dimensional class A system can have topological charges, which are characterized by Abelian/non-Abelian monopoles. The edge topological charges are a new feature of relations among theories with different dimensions. From this novel viewpoint, we provide a non-Abelian analogue of the TKNN number as an edge topological charge, which is defined by an SU(2) 't Hooft-Polyakov BPS monopole through an equivalence to Nahm construction. Furthermore, putting a constant magnetic field yields an edge monopole in a non-commutative momentum space, where D-brane meth"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.05577","kind":"arxiv","version":1},"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":"1602.05577","created_at":"2026-05-18T01:12:48.926722+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.05577v1","created_at":"2026-05-18T01:12:48.926722+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.05577","created_at":"2026-05-18T01:12:48.926722+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z5II4VYV5RXJ","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z5II4VYV5RXJTXQL","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z5II4VYV","created_at":"2026-05-18T12:30:53.716459+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2205.03035","citing_title":"Boundary Condition Analysis of First and Second Order Topological Insulators","ref_index":27,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Z5II4VYV5RXJTXQLXOS56ZJNI7","json":"https://pith.science/pith/Z5II4VYV5RXJTXQLXOS56ZJNI7.json","graph_json":"https://pith.science/api/pith-number/Z5II4VYV5RXJTXQLXOS56ZJNI7/graph.json","events_json":"https://pith.science/api/pith-number/Z5II4VYV5RXJTXQLXOS56ZJNI7/events.json","paper":"https://pith.science/paper/Z5II4VYV"},"agent_actions":{"view_html":"https://pith.science/pith/Z5II4VYV5RXJTXQLXOS56ZJNI7","download_json":"https://pith.science/pith/Z5II4VYV5RXJTXQLXOS56ZJNI7.json","view_paper":"https://pith.science/paper/Z5II4VYV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.05577&json=true","fetch_graph":"https://pith.science/api/pith-number/Z5II4VYV5RXJTXQLXOS56ZJNI7/graph.json","fetch_events":"https://pith.science/api/pith-number/Z5II4VYV5RXJTXQLXOS56ZJNI7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z5II4VYV5RXJTXQLXOS56ZJNI7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z5II4VYV5RXJTXQLXOS56ZJNI7/action/storage_attestation","attest_author":"https://pith.science/pith/Z5II4VYV5RXJTXQLXOS56ZJNI7/action/author_attestation","sign_citation":"https://pith.science/pith/Z5II4VYV5RXJTXQLXOS56ZJNI7/action/citation_signature","submit_replication":"https://pith.science/pith/Z5II4VYV5RXJTXQLXOS56ZJNI7/action/replication_record"}},"created_at":"2026-05-18T01:12:48.926722+00:00","updated_at":"2026-05-18T01:12:48.926722+00:00"}