{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:WYH235B2IYF6K44HB7JPZQFIEI","short_pith_number":"pith:WYH235B2","schema_version":"1.0","canonical_sha256":"b60fadf43a460be573870fd2fcc0a8221288f6ccd1a82cfeffe39a08252a3fb0","source":{"kind":"arxiv","id":"1109.5983","version":4},"attestation_state":"computed","paper":{"title":"Topological States and Adiabatic Pumping in Quasicrystals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","physics.optics","quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Mor Verbin, Oded Zilberberg, Yaacov E. Kraus, Yoav Lahini, Zohar Ringel","submitted_at":"2011-09-27T18:14:15Z","abstract_excerpt":"The unrelated discoveries of quasicrystals and topological insulators have in turn challenged prevailing paradigms in condensed-matter physics. We find a surprising connection between quasicrystals and topological phases of matter: (i) quasicrystals exhibit nontrivial topological properties and (ii) these properties are attributed to dimensions higher than that of the quasicrystal. Specifically, we show, both theoretically and experimentally, that one-dimensional quasicrystals are assigned two-dimensional Chern numbers and, respectively, exhibit topologically protected boundary states equivale"},"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":"1109.5983","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-09-27T18:14:15Z","cross_cats_sorted":["cond-mat.mtrl-sci","physics.optics","quant-ph"],"title_canon_sha256":"653e891f2f34644df76b6259562dd1cdea725f8523ef7a96fbb01cc42dd9cbc7","abstract_canon_sha256":"dc116570d78099b5047bc324b7a8ece07e0fecf1cd6bb67b5b6af173a7812c17"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:45:31.932329Z","signature_b64":"HUSuSdE9Ad59ml8Zxl2cfJGh+sYApfGJ1oMyb9XEuyXDZAhmY8YgEY6iYg9u0gwyC7MSQkz8OvzCFBdRqLXjDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b60fadf43a460be573870fd2fcc0a8221288f6ccd1a82cfeffe39a08252a3fb0","last_reissued_at":"2026-05-18T03:45:31.931890Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:45:31.931890Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topological States and Adiabatic Pumping in Quasicrystals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","physics.optics","quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Mor Verbin, Oded Zilberberg, Yaacov E. Kraus, Yoav Lahini, Zohar Ringel","submitted_at":"2011-09-27T18:14:15Z","abstract_excerpt":"The unrelated discoveries of quasicrystals and topological insulators have in turn challenged prevailing paradigms in condensed-matter physics. We find a surprising connection between quasicrystals and topological phases of matter: (i) quasicrystals exhibit nontrivial topological properties and (ii) these properties are attributed to dimensions higher than that of the quasicrystal. Specifically, we show, both theoretically and experimentally, that one-dimensional quasicrystals are assigned two-dimensional Chern numbers and, respectively, exhibit topologically protected boundary states equivale"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.5983","kind":"arxiv","version":4},"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":"1109.5983","created_at":"2026-05-18T03:45:31.931951+00:00"},{"alias_kind":"arxiv_version","alias_value":"1109.5983v4","created_at":"2026-05-18T03:45:31.931951+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.5983","created_at":"2026-05-18T03:45:31.931951+00:00"},{"alias_kind":"pith_short_12","alias_value":"WYH235B2IYF6","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_16","alias_value":"WYH235B2IYF6K44H","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_8","alias_value":"WYH235B2","created_at":"2026-05-18T12:26:44.992195+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/WYH235B2IYF6K44HB7JPZQFIEI","json":"https://pith.science/pith/WYH235B2IYF6K44HB7JPZQFIEI.json","graph_json":"https://pith.science/api/pith-number/WYH235B2IYF6K44HB7JPZQFIEI/graph.json","events_json":"https://pith.science/api/pith-number/WYH235B2IYF6K44HB7JPZQFIEI/events.json","paper":"https://pith.science/paper/WYH235B2"},"agent_actions":{"view_html":"https://pith.science/pith/WYH235B2IYF6K44HB7JPZQFIEI","download_json":"https://pith.science/pith/WYH235B2IYF6K44HB7JPZQFIEI.json","view_paper":"https://pith.science/paper/WYH235B2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1109.5983&json=true","fetch_graph":"https://pith.science/api/pith-number/WYH235B2IYF6K44HB7JPZQFIEI/graph.json","fetch_events":"https://pith.science/api/pith-number/WYH235B2IYF6K44HB7JPZQFIEI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WYH235B2IYF6K44HB7JPZQFIEI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WYH235B2IYF6K44HB7JPZQFIEI/action/storage_attestation","attest_author":"https://pith.science/pith/WYH235B2IYF6K44HB7JPZQFIEI/action/author_attestation","sign_citation":"https://pith.science/pith/WYH235B2IYF6K44HB7JPZQFIEI/action/citation_signature","submit_replication":"https://pith.science/pith/WYH235B2IYF6K44HB7JPZQFIEI/action/replication_record"}},"created_at":"2026-05-18T03:45:31.931951+00:00","updated_at":"2026-05-18T03:45:31.931951+00:00"}