{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:MQZEWSGLAORVA2U6MHTRDHGR52","short_pith_number":"pith:MQZEWSGL","schema_version":"1.0","canonical_sha256":"64324b48cb03a3506a9e61e7119cd1ee8d3b66e067038ab956ff4ba34ce219a6","source":{"kind":"arxiv","id":"1410.4440","version":2},"attestation_state":"computed","paper":{"title":"One-dimensional Dirac electrons on the surface of weak topological insulators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Alexander Lau, Carmine Ortix, Jeroen van den Brink","submitted_at":"2014-10-16T14:15:24Z","abstract_excerpt":"We show that a class of weak three-dimensional topological insulators feature one-dimensional Dirac electrons on their surfaces. Their hallmark is a line-like energy dispersion along certain directions of the surface Brillouin zone. These one-dimensional Dirac line degeneracies are topologically protected by a symmetry that we refer to as in-plane time-reversal invariance. We show how this invariance leads to Dirac lines in the surface spectrum of stacked Kane-Mele systems and more general models for weak three-dimensional topological insulators."},"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":"1410.4440","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2014-10-16T14:15:24Z","cross_cats_sorted":[],"title_canon_sha256":"55eb8da9acd7114e144712ee8afc39df4f5085d284571ce5d4a36a190cea5dc4","abstract_canon_sha256":"0a30ff19dba4e5f19b0d028eef234ac5f89f1364ff26a94ab753d57320e2cbef"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:05.179835Z","signature_b64":"OV8ZWvGhVwvtzEIb6a8bUzOLh1w0FRbJTYS4XuaZiAhI55wGYSFsYQTDWm8CAtQ0xRH8dO6UGqvlbFnFd2PODw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"64324b48cb03a3506a9e61e7119cd1ee8d3b66e067038ab956ff4ba34ce219a6","last_reissued_at":"2026-05-18T02:27:05.179421Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:05.179421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"One-dimensional Dirac electrons on the surface of weak topological insulators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Alexander Lau, Carmine Ortix, Jeroen van den Brink","submitted_at":"2014-10-16T14:15:24Z","abstract_excerpt":"We show that a class of weak three-dimensional topological insulators feature one-dimensional Dirac electrons on their surfaces. Their hallmark is a line-like energy dispersion along certain directions of the surface Brillouin zone. These one-dimensional Dirac line degeneracies are topologically protected by a symmetry that we refer to as in-plane time-reversal invariance. We show how this invariance leads to Dirac lines in the surface spectrum of stacked Kane-Mele systems and more general models for weak three-dimensional topological insulators."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.4440","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":"1410.4440","created_at":"2026-05-18T02:27:05.179496+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.4440v2","created_at":"2026-05-18T02:27:05.179496+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.4440","created_at":"2026-05-18T02:27:05.179496+00:00"},{"alias_kind":"pith_short_12","alias_value":"MQZEWSGLAORV","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"MQZEWSGLAORVA2U6","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"MQZEWSGL","created_at":"2026-05-18T12:28:38.356838+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/MQZEWSGLAORVA2U6MHTRDHGR52","json":"https://pith.science/pith/MQZEWSGLAORVA2U6MHTRDHGR52.json","graph_json":"https://pith.science/api/pith-number/MQZEWSGLAORVA2U6MHTRDHGR52/graph.json","events_json":"https://pith.science/api/pith-number/MQZEWSGLAORVA2U6MHTRDHGR52/events.json","paper":"https://pith.science/paper/MQZEWSGL"},"agent_actions":{"view_html":"https://pith.science/pith/MQZEWSGLAORVA2U6MHTRDHGR52","download_json":"https://pith.science/pith/MQZEWSGLAORVA2U6MHTRDHGR52.json","view_paper":"https://pith.science/paper/MQZEWSGL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.4440&json=true","fetch_graph":"https://pith.science/api/pith-number/MQZEWSGLAORVA2U6MHTRDHGR52/graph.json","fetch_events":"https://pith.science/api/pith-number/MQZEWSGLAORVA2U6MHTRDHGR52/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MQZEWSGLAORVA2U6MHTRDHGR52/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MQZEWSGLAORVA2U6MHTRDHGR52/action/storage_attestation","attest_author":"https://pith.science/pith/MQZEWSGLAORVA2U6MHTRDHGR52/action/author_attestation","sign_citation":"https://pith.science/pith/MQZEWSGLAORVA2U6MHTRDHGR52/action/citation_signature","submit_replication":"https://pith.science/pith/MQZEWSGLAORVA2U6MHTRDHGR52/action/replication_record"}},"created_at":"2026-05-18T02:27:05.179496+00:00","updated_at":"2026-05-18T02:27:05.179496+00:00"}