{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:Y26KKLGADYFURSHXOA3IF2UBMY","short_pith_number":"pith:Y26KKLGA","schema_version":"1.0","canonical_sha256":"c6bca52cc01e0b48c8f7703682ea81660a0c4286e19361293892074f4eadcf92","source":{"kind":"arxiv","id":"1811.05634","version":1},"attestation_state":"computed","paper":{"title":"Detection of topological phases by quasi-local operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"D.G. Angelakis, Hai-Qing Lin, P. D. Sacramento, Wing Chi Yu, Yan Chao Li","submitted_at":"2018-11-14T04:25:05Z","abstract_excerpt":"It has been proposed recently by some of the authors that the quantum phase transition of a topological insulator like the SSH model may be detected by the eigenvalues and eigenvectors of the reduced density matrix. Here we further extend the scheme of identifying the order parameters by considering the SSH model with the addition of triplet superconductivity. This model has a rich phase diagram due to the competition of the SSH \"order\" and the Kitaev \"order\", which requires the introduction of four order parameters to describe the various topological phases. We show how these order parameters"},"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":"1811.05634","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-11-14T04:25:05Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"b01da7d6286d8ca660f41624c45f7e538e2747234a68593afdc5be5d04ebfaf9","abstract_canon_sha256":"eb7af1603d7294b75018ff09b004f0b399961fb4040b4f08622a1097e5c1f992"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:11.443210Z","signature_b64":"9xRfPYm6BdTZNsU3p+ruMzTFiPsy7AjhV4Hzqo/OD+eDKSsiua6SH5v/giT8d2Rwdu340Y2wa4bC8OzTJqXkAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6bca52cc01e0b48c8f7703682ea81660a0c4286e19361293892074f4eadcf92","last_reissued_at":"2026-05-17T23:50:11.442597Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:11.442597Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Detection of topological phases by quasi-local operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"D.G. Angelakis, Hai-Qing Lin, P. D. Sacramento, Wing Chi Yu, Yan Chao Li","submitted_at":"2018-11-14T04:25:05Z","abstract_excerpt":"It has been proposed recently by some of the authors that the quantum phase transition of a topological insulator like the SSH model may be detected by the eigenvalues and eigenvectors of the reduced density matrix. Here we further extend the scheme of identifying the order parameters by considering the SSH model with the addition of triplet superconductivity. This model has a rich phase diagram due to the competition of the SSH \"order\" and the Kitaev \"order\", which requires the introduction of four order parameters to describe the various topological phases. We show how these order parameters"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.05634","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":"1811.05634","created_at":"2026-05-17T23:50:11.442710+00:00"},{"alias_kind":"arxiv_version","alias_value":"1811.05634v1","created_at":"2026-05-17T23:50:11.442710+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.05634","created_at":"2026-05-17T23:50:11.442710+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y26KKLGADYFU","created_at":"2026-05-18T12:33:04.347982+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y26KKLGADYFURSHX","created_at":"2026-05-18T12:33:04.347982+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y26KKLGA","created_at":"2026-05-18T12:33:04.347982+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/Y26KKLGADYFURSHXOA3IF2UBMY","json":"https://pith.science/pith/Y26KKLGADYFURSHXOA3IF2UBMY.json","graph_json":"https://pith.science/api/pith-number/Y26KKLGADYFURSHXOA3IF2UBMY/graph.json","events_json":"https://pith.science/api/pith-number/Y26KKLGADYFURSHXOA3IF2UBMY/events.json","paper":"https://pith.science/paper/Y26KKLGA"},"agent_actions":{"view_html":"https://pith.science/pith/Y26KKLGADYFURSHXOA3IF2UBMY","download_json":"https://pith.science/pith/Y26KKLGADYFURSHXOA3IF2UBMY.json","view_paper":"https://pith.science/paper/Y26KKLGA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1811.05634&json=true","fetch_graph":"https://pith.science/api/pith-number/Y26KKLGADYFURSHXOA3IF2UBMY/graph.json","fetch_events":"https://pith.science/api/pith-number/Y26KKLGADYFURSHXOA3IF2UBMY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y26KKLGADYFURSHXOA3IF2UBMY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y26KKLGADYFURSHXOA3IF2UBMY/action/storage_attestation","attest_author":"https://pith.science/pith/Y26KKLGADYFURSHXOA3IF2UBMY/action/author_attestation","sign_citation":"https://pith.science/pith/Y26KKLGADYFURSHXOA3IF2UBMY/action/citation_signature","submit_replication":"https://pith.science/pith/Y26KKLGADYFURSHXOA3IF2UBMY/action/replication_record"}},"created_at":"2026-05-17T23:50:11.442710+00:00","updated_at":"2026-05-17T23:50:11.442710+00:00"}