{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:RIPOIPFVYSAO4KLCTRBI6HVOTB","short_pith_number":"pith:RIPOIPFV","schema_version":"1.0","canonical_sha256":"8a1ee43cb5c480ee29629c428f1eae987915b5c2a0f0ba4455100b19fd58c7c3","source":{"kind":"arxiv","id":"1508.01680","version":1},"attestation_state":"computed","paper":{"title":"Winding numbers of phase transition points for one-dimensional topological systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Chao Yang, Linhu Li, Shu Chen","submitted_at":"2015-08-07T13:14:01Z","abstract_excerpt":"We study topological properties of phase transition points of one-dimensional topological quantum phase transitions by assigning winding numbers defined on closed circles around the gap closing points in the parameter space of momentum and a transition driving parameter, which overcomes the problem of ill definition of winding numbers on the transition points. By applying our scheme to the extended Kitaev model and extended Su-Schrieffer-Heeger model, we demonstrate that the topological phase transition can be well characterized by winding numbers of transition points, which reflect the change"},"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":"1508.01680","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-08-07T13:14:01Z","cross_cats_sorted":[],"title_canon_sha256":"e974019d00a5c95defe2555e42eb27e091b0e87da3ea38d77c1d7843ab29c9b6","abstract_canon_sha256":"38e1771d0082b551476d30916decdfffb66d68db0b358476e66112837c135d96"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:29:38.024217Z","signature_b64":"RfR9MeWm57cvLrV55p4Nhvv13ShLGQV3SvKXW3LTav1xoZ5womxK9K+M03x3daZWAsdXTKN0D8Tv4ucFpCT0BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a1ee43cb5c480ee29629c428f1eae987915b5c2a0f0ba4455100b19fd58c7c3","last_reissued_at":"2026-05-18T01:29:38.023783Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:29:38.023783Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Winding numbers of phase transition points for one-dimensional topological systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Chao Yang, Linhu Li, Shu Chen","submitted_at":"2015-08-07T13:14:01Z","abstract_excerpt":"We study topological properties of phase transition points of one-dimensional topological quantum phase transitions by assigning winding numbers defined on closed circles around the gap closing points in the parameter space of momentum and a transition driving parameter, which overcomes the problem of ill definition of winding numbers on the transition points. By applying our scheme to the extended Kitaev model and extended Su-Schrieffer-Heeger model, we demonstrate that the topological phase transition can be well characterized by winding numbers of transition points, which reflect the change"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.01680","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":"1508.01680","created_at":"2026-05-18T01:29:38.023846+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.01680v1","created_at":"2026-05-18T01:29:38.023846+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.01680","created_at":"2026-05-18T01:29:38.023846+00:00"},{"alias_kind":"pith_short_12","alias_value":"RIPOIPFVYSAO","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_16","alias_value":"RIPOIPFVYSAO4KLC","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_8","alias_value":"RIPOIPFV","created_at":"2026-05-18T12:29:39.896362+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/RIPOIPFVYSAO4KLCTRBI6HVOTB","json":"https://pith.science/pith/RIPOIPFVYSAO4KLCTRBI6HVOTB.json","graph_json":"https://pith.science/api/pith-number/RIPOIPFVYSAO4KLCTRBI6HVOTB/graph.json","events_json":"https://pith.science/api/pith-number/RIPOIPFVYSAO4KLCTRBI6HVOTB/events.json","paper":"https://pith.science/paper/RIPOIPFV"},"agent_actions":{"view_html":"https://pith.science/pith/RIPOIPFVYSAO4KLCTRBI6HVOTB","download_json":"https://pith.science/pith/RIPOIPFVYSAO4KLCTRBI6HVOTB.json","view_paper":"https://pith.science/paper/RIPOIPFV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.01680&json=true","fetch_graph":"https://pith.science/api/pith-number/RIPOIPFVYSAO4KLCTRBI6HVOTB/graph.json","fetch_events":"https://pith.science/api/pith-number/RIPOIPFVYSAO4KLCTRBI6HVOTB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RIPOIPFVYSAO4KLCTRBI6HVOTB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RIPOIPFVYSAO4KLCTRBI6HVOTB/action/storage_attestation","attest_author":"https://pith.science/pith/RIPOIPFVYSAO4KLCTRBI6HVOTB/action/author_attestation","sign_citation":"https://pith.science/pith/RIPOIPFVYSAO4KLCTRBI6HVOTB/action/citation_signature","submit_replication":"https://pith.science/pith/RIPOIPFVYSAO4KLCTRBI6HVOTB/action/replication_record"}},"created_at":"2026-05-18T01:29:38.023846+00:00","updated_at":"2026-05-18T01:29:38.023846+00:00"}