{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:WG6KEEE7WNCPBLEYCRX6MAQNY4","short_pith_number":"pith:WG6KEEE7","schema_version":"1.0","canonical_sha256":"b1bca2109fb344f0ac98146fe6020dc73b201a3bbb7e417fd791775b300bc5ad","source":{"kind":"arxiv","id":"2209.10394","version":3},"attestation_state":"computed","paper":{"title":"Unified characterization for higher-order topological phase transitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Lin Zhang, Long Zhang, Wei Jia, Xin-Chi Zhou, Xiong-jun Liu","submitted_at":"2022-09-21T14:39:51Z","abstract_excerpt":"Higher-order topological phase transitions (HOTPTs) are associated with closing either the bulk energy gap (type-I) or boundary energy gap (type-II) without changing symmetry, and conventionally the both transitions are captured in real space and characterized separately. Here we propose a momentum-space topological characterization of the HOTPTs, which unifies the both types of topological transitions and enables a precise detection by quench dynamics. Our unified characterization is based on a novel correspondence between the mass domain walls on real-space boundaries and the higher-order ba"},"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":"2209.10394","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2022-09-21T14:39:51Z","cross_cats_sorted":["cond-mat.quant-gas","quant-ph"],"title_canon_sha256":"7d22bb22fbc71ad9a1c8dc91be237faaa8c4edeff3d63860c93f56519a2aa2bb","abstract_canon_sha256":"c6e0604a236957e6a34157220747fd0366ae6eacfa5e15d80082094a93db37ba"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:43:45.351236Z","signature_b64":"0wC8Z71QH5ZT6rss0wRw6mWkjdy436TT8nkLjMlV3o/LC+nRCZmDISp9NvJe68NwWTh3FsdtgquELGHBVueRDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b1bca2109fb344f0ac98146fe6020dc73b201a3bbb7e417fd791775b300bc5ad","last_reissued_at":"2026-07-05T06:43:45.350817Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:43:45.350817Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unified characterization for higher-order topological phase transitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Lin Zhang, Long Zhang, Wei Jia, Xin-Chi Zhou, Xiong-jun Liu","submitted_at":"2022-09-21T14:39:51Z","abstract_excerpt":"Higher-order topological phase transitions (HOTPTs) are associated with closing either the bulk energy gap (type-I) or boundary energy gap (type-II) without changing symmetry, and conventionally the both transitions are captured in real space and characterized separately. Here we propose a momentum-space topological characterization of the HOTPTs, which unifies the both types of topological transitions and enables a precise detection by quench dynamics. Our unified characterization is based on a novel correspondence between the mass domain walls on real-space boundaries and the higher-order ba"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.10394","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2209.10394/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2209.10394","created_at":"2026-07-05T06:43:45.350873+00:00"},{"alias_kind":"arxiv_version","alias_value":"2209.10394v3","created_at":"2026-07-05T06:43:45.350873+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.10394","created_at":"2026-07-05T06:43:45.350873+00:00"},{"alias_kind":"pith_short_12","alias_value":"WG6KEEE7WNCP","created_at":"2026-07-05T06:43:45.350873+00:00"},{"alias_kind":"pith_short_16","alias_value":"WG6KEEE7WNCPBLEY","created_at":"2026-07-05T06:43:45.350873+00:00"},{"alias_kind":"pith_short_8","alias_value":"WG6KEEE7","created_at":"2026-07-05T06:43:45.350873+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/WG6KEEE7WNCPBLEYCRX6MAQNY4","json":"https://pith.science/pith/WG6KEEE7WNCPBLEYCRX6MAQNY4.json","graph_json":"https://pith.science/api/pith-number/WG6KEEE7WNCPBLEYCRX6MAQNY4/graph.json","events_json":"https://pith.science/api/pith-number/WG6KEEE7WNCPBLEYCRX6MAQNY4/events.json","paper":"https://pith.science/paper/WG6KEEE7"},"agent_actions":{"view_html":"https://pith.science/pith/WG6KEEE7WNCPBLEYCRX6MAQNY4","download_json":"https://pith.science/pith/WG6KEEE7WNCPBLEYCRX6MAQNY4.json","view_paper":"https://pith.science/paper/WG6KEEE7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2209.10394&json=true","fetch_graph":"https://pith.science/api/pith-number/WG6KEEE7WNCPBLEYCRX6MAQNY4/graph.json","fetch_events":"https://pith.science/api/pith-number/WG6KEEE7WNCPBLEYCRX6MAQNY4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WG6KEEE7WNCPBLEYCRX6MAQNY4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WG6KEEE7WNCPBLEYCRX6MAQNY4/action/storage_attestation","attest_author":"https://pith.science/pith/WG6KEEE7WNCPBLEYCRX6MAQNY4/action/author_attestation","sign_citation":"https://pith.science/pith/WG6KEEE7WNCPBLEYCRX6MAQNY4/action/citation_signature","submit_replication":"https://pith.science/pith/WG6KEEE7WNCPBLEYCRX6MAQNY4/action/replication_record"}},"created_at":"2026-07-05T06:43:45.350873+00:00","updated_at":"2026-07-05T06:43:45.350873+00:00"}