{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:27E2JDXTHA4XY2XYRO3VOJH6M5","short_pith_number":"pith:27E2JDXT","schema_version":"1.0","canonical_sha256":"d7c9a48ef338397c6af88bb75724fe676c12290e463ec2cd06ccc8b8f08750eb","source":{"kind":"arxiv","id":"1709.08310","version":3},"attestation_state":"computed","paper":{"title":"Optical Selection Rule of Excitons in Gapped Chiral Fermion Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Di Xiao, Wen-Yu Shan, Xiaoou Zhang","submitted_at":"2017-09-25T04:21:33Z","abstract_excerpt":"We show that the exciton optical selection rule in gapped chiral fermion systems is governed by their winding number $w$, a topological quantity of the Bloch bands. Specifically, in a $C_N$-invariant chiral fermion system, the angular momentum of bright exciton states is given by $w \\pm 1 + nN$ with $n$ being an integer. We demonstrate our theory by proposing two chiral fermion systems capable of hosting dark $s$-like excitons: gapped surface states of a topological crystalline insulator with $C_4$ rotational symmetry and biased $3R$-stacked MoS$_2$ bilayers. In the latter case, we show that g"},"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":"1709.08310","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-09-25T04:21:33Z","cross_cats_sorted":[],"title_canon_sha256":"810611f265a9352b178a6a8a7d0fb0a9add31ebdc4d7a158aa858ac69ae5f6e7","abstract_canon_sha256":"4a256437a365d97163c8c00dcb0c4d516b82f3f626bc21f29eb8d90e9556f209"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:58.560991Z","signature_b64":"ygmm0vF2a0S46Q4mYAjrXDOU18jboXqHoWc34COsGVaTjSky6U+c+OY1SCbzGKXueELSl0dfmpnIJKaa+5WLBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7c9a48ef338397c6af88bb75724fe676c12290e463ec2cd06ccc8b8f08750eb","last_reissued_at":"2026-05-18T00:22:58.560542Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:58.560542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Optical Selection Rule of Excitons in Gapped Chiral Fermion Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Di Xiao, Wen-Yu Shan, Xiaoou Zhang","submitted_at":"2017-09-25T04:21:33Z","abstract_excerpt":"We show that the exciton optical selection rule in gapped chiral fermion systems is governed by their winding number $w$, a topological quantity of the Bloch bands. Specifically, in a $C_N$-invariant chiral fermion system, the angular momentum of bright exciton states is given by $w \\pm 1 + nN$ with $n$ being an integer. We demonstrate our theory by proposing two chiral fermion systems capable of hosting dark $s$-like excitons: gapped surface states of a topological crystalline insulator with $C_4$ rotational symmetry and biased $3R$-stacked MoS$_2$ bilayers. In the latter case, we show that g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.08310","kind":"arxiv","version":3},"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":"1709.08310","created_at":"2026-05-18T00:22:58.560623+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.08310v3","created_at":"2026-05-18T00:22:58.560623+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.08310","created_at":"2026-05-18T00:22:58.560623+00:00"},{"alias_kind":"pith_short_12","alias_value":"27E2JDXTHA4X","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_16","alias_value":"27E2JDXTHA4XY2XY","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_8","alias_value":"27E2JDXT","created_at":"2026-05-18T12:30:55.937587+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/27E2JDXTHA4XY2XYRO3VOJH6M5","json":"https://pith.science/pith/27E2JDXTHA4XY2XYRO3VOJH6M5.json","graph_json":"https://pith.science/api/pith-number/27E2JDXTHA4XY2XYRO3VOJH6M5/graph.json","events_json":"https://pith.science/api/pith-number/27E2JDXTHA4XY2XYRO3VOJH6M5/events.json","paper":"https://pith.science/paper/27E2JDXT"},"agent_actions":{"view_html":"https://pith.science/pith/27E2JDXTHA4XY2XYRO3VOJH6M5","download_json":"https://pith.science/pith/27E2JDXTHA4XY2XYRO3VOJH6M5.json","view_paper":"https://pith.science/paper/27E2JDXT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.08310&json=true","fetch_graph":"https://pith.science/api/pith-number/27E2JDXTHA4XY2XYRO3VOJH6M5/graph.json","fetch_events":"https://pith.science/api/pith-number/27E2JDXTHA4XY2XYRO3VOJH6M5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/27E2JDXTHA4XY2XYRO3VOJH6M5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/27E2JDXTHA4XY2XYRO3VOJH6M5/action/storage_attestation","attest_author":"https://pith.science/pith/27E2JDXTHA4XY2XYRO3VOJH6M5/action/author_attestation","sign_citation":"https://pith.science/pith/27E2JDXTHA4XY2XYRO3VOJH6M5/action/citation_signature","submit_replication":"https://pith.science/pith/27E2JDXTHA4XY2XYRO3VOJH6M5/action/replication_record"}},"created_at":"2026-05-18T00:22:58.560623+00:00","updated_at":"2026-05-18T00:22:58.560623+00:00"}