{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:BVRE7HHA25SXSVBBICWVFHNBSL","short_pith_number":"pith:BVRE7HHA","schema_version":"1.0","canonical_sha256":"0d624f9ce0d76579542140ad529da192f8bcc69d7784868c3069d03ba19a3f7a","source":{"kind":"arxiv","id":"1708.00178","version":1},"attestation_state":"computed","paper":{"title":"Fate of topological states and mobility edges in one-dimensional slowly varying incommensurate potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.quant-gas","authors_text":"Hai-Yang Yan, Hao Guo, Tong Liu","submitted_at":"2017-08-01T06:32:35Z","abstract_excerpt":"We investigate the interplay between disorder and superconducting pairing for a one-dimensional $p$-wave superconductor subject to slowly varying incommensurate potentials with mobility edges. With amplitude increments of the incommensurate potentials, the system can undergo a transition from a topological phase to a topologically trivial localized phase. Interestingly, we find that there are four mobility edges in the spectrum when the strength of the incommensurate potential is below a critical threshold, and a novel topologically nontrivial localized phase emerges in a certain region. We re"},"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":"1708.00178","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-08-01T06:32:35Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"ca44f8de26fdd7e6a099b79f2393388e9f41adf49fe1189205cb5e033f3aa96a","abstract_canon_sha256":"cbbc8f8632ac0f5590cb4d7941110ddde6e7117d9e59be46c86d02b5a0efa9fd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:22.839921Z","signature_b64":"+GEqS2mlwh9JPBqEJZdPagxuqfXH77OXFGjMUV7a4lu18yM9tuyZi+fsdFt09CjZ/8vDnIO1u81Hv/2QyYXnCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d624f9ce0d76579542140ad529da192f8bcc69d7784868c3069d03ba19a3f7a","last_reissued_at":"2026-05-18T00:28:22.839377Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:22.839377Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fate of topological states and mobility edges in one-dimensional slowly varying incommensurate potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.quant-gas","authors_text":"Hai-Yang Yan, Hao Guo, Tong Liu","submitted_at":"2017-08-01T06:32:35Z","abstract_excerpt":"We investigate the interplay between disorder and superconducting pairing for a one-dimensional $p$-wave superconductor subject to slowly varying incommensurate potentials with mobility edges. With amplitude increments of the incommensurate potentials, the system can undergo a transition from a topological phase to a topologically trivial localized phase. Interestingly, we find that there are four mobility edges in the spectrum when the strength of the incommensurate potential is below a critical threshold, and a novel topologically nontrivial localized phase emerges in a certain region. We re"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.00178","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":"1708.00178","created_at":"2026-05-18T00:28:22.839454+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.00178v1","created_at":"2026-05-18T00:28:22.839454+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.00178","created_at":"2026-05-18T00:28:22.839454+00:00"},{"alias_kind":"pith_short_12","alias_value":"BVRE7HHA25SX","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_16","alias_value":"BVRE7HHA25SXSVBB","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_8","alias_value":"BVRE7HHA","created_at":"2026-05-18T12:31:08.081275+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/BVRE7HHA25SXSVBBICWVFHNBSL","json":"https://pith.science/pith/BVRE7HHA25SXSVBBICWVFHNBSL.json","graph_json":"https://pith.science/api/pith-number/BVRE7HHA25SXSVBBICWVFHNBSL/graph.json","events_json":"https://pith.science/api/pith-number/BVRE7HHA25SXSVBBICWVFHNBSL/events.json","paper":"https://pith.science/paper/BVRE7HHA"},"agent_actions":{"view_html":"https://pith.science/pith/BVRE7HHA25SXSVBBICWVFHNBSL","download_json":"https://pith.science/pith/BVRE7HHA25SXSVBBICWVFHNBSL.json","view_paper":"https://pith.science/paper/BVRE7HHA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.00178&json=true","fetch_graph":"https://pith.science/api/pith-number/BVRE7HHA25SXSVBBICWVFHNBSL/graph.json","fetch_events":"https://pith.science/api/pith-number/BVRE7HHA25SXSVBBICWVFHNBSL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BVRE7HHA25SXSVBBICWVFHNBSL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BVRE7HHA25SXSVBBICWVFHNBSL/action/storage_attestation","attest_author":"https://pith.science/pith/BVRE7HHA25SXSVBBICWVFHNBSL/action/author_attestation","sign_citation":"https://pith.science/pith/BVRE7HHA25SXSVBBICWVFHNBSL/action/citation_signature","submit_replication":"https://pith.science/pith/BVRE7HHA25SXSVBBICWVFHNBSL/action/replication_record"}},"created_at":"2026-05-18T00:28:22.839454+00:00","updated_at":"2026-05-18T00:28:22.839454+00:00"}