{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:POB66N4CLZECPUWEWDK7533WGV","short_pith_number":"pith:POB66N4C","schema_version":"1.0","canonical_sha256":"7b83ef37825e4827d2c4b0d5feef76354138b3fcfbc480443a2df2834910279a","source":{"kind":"arxiv","id":"1606.03698","version":2},"attestation_state":"computed","paper":{"title":"Nonsymmorphic symmetry-required band crossings in topological semimetals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Andreas P. Schnyder, Y. X. Zhao","submitted_at":"2016-06-12T11:44:32Z","abstract_excerpt":"We show that for two-band systems nonsymmorphic symmetries may enforce the existence of band crossings in the bulk, which realize Fermi surfaces of reduced dimensionality. We find that these unavoidable crossings originate from the momentum dependence of the nonsymmorphic symmetry, which puts strong restrictions on the global structure of the band configurations. Three different types of nonsymmorphic symmetries are considered: (i) a unitary nonsymmorphic symmetry, (ii) a nonsymmorphic magnetic symmetry, and (iii) a nonsymmorphic symmetry combined with inversion. For nonsymmorphic symmetries o"},"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":"1606.03698","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-06-12T11:44:32Z","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"title_canon_sha256":"d99a8d8212f4019ebc615a21fb78e3d164eb52077b09ee558c51ea46b1d507b2","abstract_canon_sha256":"3b7c9cc4d0ef9fc19a3e561e4362fb84c9b9d18a3ce64f03168242035e955854"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:12.281962Z","signature_b64":"F/j54pTC4HIy62UYL+rjhKgHKvehjeZPT1ehtOcDJSasyxLyAtETP2xC8dim8+PQEcjtvRBq9RapXu3gAH/zCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b83ef37825e4827d2c4b0d5feef76354138b3fcfbc480443a2df2834910279a","last_reissued_at":"2026-05-18T01:00:12.281348Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:12.281348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonsymmorphic symmetry-required band crossings in topological semimetals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Andreas P. Schnyder, Y. X. Zhao","submitted_at":"2016-06-12T11:44:32Z","abstract_excerpt":"We show that for two-band systems nonsymmorphic symmetries may enforce the existence of band crossings in the bulk, which realize Fermi surfaces of reduced dimensionality. We find that these unavoidable crossings originate from the momentum dependence of the nonsymmorphic symmetry, which puts strong restrictions on the global structure of the band configurations. Three different types of nonsymmorphic symmetries are considered: (i) a unitary nonsymmorphic symmetry, (ii) a nonsymmorphic magnetic symmetry, and (iii) a nonsymmorphic symmetry combined with inversion. For nonsymmorphic symmetries o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.03698","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":"1606.03698","created_at":"2026-05-18T01:00:12.281451+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.03698v2","created_at":"2026-05-18T01:00:12.281451+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.03698","created_at":"2026-05-18T01:00:12.281451+00:00"},{"alias_kind":"pith_short_12","alias_value":"POB66N4CLZEC","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_16","alias_value":"POB66N4CLZECPUWE","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_8","alias_value":"POB66N4C","created_at":"2026-05-18T12:30:39.010887+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/POB66N4CLZECPUWEWDK7533WGV","json":"https://pith.science/pith/POB66N4CLZECPUWEWDK7533WGV.json","graph_json":"https://pith.science/api/pith-number/POB66N4CLZECPUWEWDK7533WGV/graph.json","events_json":"https://pith.science/api/pith-number/POB66N4CLZECPUWEWDK7533WGV/events.json","paper":"https://pith.science/paper/POB66N4C"},"agent_actions":{"view_html":"https://pith.science/pith/POB66N4CLZECPUWEWDK7533WGV","download_json":"https://pith.science/pith/POB66N4CLZECPUWEWDK7533WGV.json","view_paper":"https://pith.science/paper/POB66N4C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.03698&json=true","fetch_graph":"https://pith.science/api/pith-number/POB66N4CLZECPUWEWDK7533WGV/graph.json","fetch_events":"https://pith.science/api/pith-number/POB66N4CLZECPUWEWDK7533WGV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/POB66N4CLZECPUWEWDK7533WGV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/POB66N4CLZECPUWEWDK7533WGV/action/storage_attestation","attest_author":"https://pith.science/pith/POB66N4CLZECPUWEWDK7533WGV/action/author_attestation","sign_citation":"https://pith.science/pith/POB66N4CLZECPUWEWDK7533WGV/action/citation_signature","submit_replication":"https://pith.science/pith/POB66N4CLZECPUWEWDK7533WGV/action/replication_record"}},"created_at":"2026-05-18T01:00:12.281451+00:00","updated_at":"2026-05-18T01:00:12.281451+00:00"}