{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:LKMTMVJFJNCUDMWOIUF2KYY2Q4","short_pith_number":"pith:LKMTMVJF","schema_version":"1.0","canonical_sha256":"5a993655254b4541b2ce450ba5631a870d5a7177847ebcc004a8fa7632ad6796","source":{"kind":"arxiv","id":"1409.3236","version":2},"attestation_state":"computed","paper":{"title":"Berry-phase description of Topological Crystalline Insulators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.other","authors_text":"A. Alexandradinata, B. Andrei Bernevig","submitted_at":"2014-09-10T20:00:43Z","abstract_excerpt":"We study a class of translational-invariant insulators with discrete rotational symmetry. These insulators have no spin-orbit coupling, and in some cases have no time-reversal symmetry as well, i.e., the relevant symmetries are purely crystalline. Nevertheless, topological phases exist which are distinguished by their robust surface modes. Like many well-known topological phases, their band topology is unveiled by the crystalline analog of Berry phases, i.e., parallel transport across certain non-contractible loops in the Brillouin zone. We also identify certain topological phases without any "},"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":"1409.3236","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2014-09-10T20:00:43Z","cross_cats_sorted":[],"title_canon_sha256":"3e16b8be77d040c1ec4dd33c2d16d8d9fca7fb3e7a886d526c634a86c029852c","abstract_canon_sha256":"d435749517721f803de80aa4247b18a8b80981334c3e8b327afe9f2aad700aaa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:15.411524Z","signature_b64":"TGDkiiZDyoxYEaVYbC1gP1hYSyTbOomdTDDYkEuSS4EUNEYqrKeKahFZgc2xhgPbfDnLCEO76jktHjYIEXY/Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a993655254b4541b2ce450ba5631a870d5a7177847ebcc004a8fa7632ad6796","last_reissued_at":"2026-05-18T01:15:15.410909Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:15.410909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Berry-phase description of Topological Crystalline Insulators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.other","authors_text":"A. Alexandradinata, B. Andrei Bernevig","submitted_at":"2014-09-10T20:00:43Z","abstract_excerpt":"We study a class of translational-invariant insulators with discrete rotational symmetry. These insulators have no spin-orbit coupling, and in some cases have no time-reversal symmetry as well, i.e., the relevant symmetries are purely crystalline. Nevertheless, topological phases exist which are distinguished by their robust surface modes. Like many well-known topological phases, their band topology is unveiled by the crystalline analog of Berry phases, i.e., parallel transport across certain non-contractible loops in the Brillouin zone. We also identify certain topological phases without any "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.3236","kind":"arxiv","version":2},"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":"1409.3236","created_at":"2026-05-18T01:15:15.410995+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.3236v2","created_at":"2026-05-18T01:15:15.410995+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.3236","created_at":"2026-05-18T01:15:15.410995+00:00"},{"alias_kind":"pith_short_12","alias_value":"LKMTMVJFJNCU","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"LKMTMVJFJNCUDMWO","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"LKMTMVJF","created_at":"2026-05-18T12:28:38.356838+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/LKMTMVJFJNCUDMWOIUF2KYY2Q4","json":"https://pith.science/pith/LKMTMVJFJNCUDMWOIUF2KYY2Q4.json","graph_json":"https://pith.science/api/pith-number/LKMTMVJFJNCUDMWOIUF2KYY2Q4/graph.json","events_json":"https://pith.science/api/pith-number/LKMTMVJFJNCUDMWOIUF2KYY2Q4/events.json","paper":"https://pith.science/paper/LKMTMVJF"},"agent_actions":{"view_html":"https://pith.science/pith/LKMTMVJFJNCUDMWOIUF2KYY2Q4","download_json":"https://pith.science/pith/LKMTMVJFJNCUDMWOIUF2KYY2Q4.json","view_paper":"https://pith.science/paper/LKMTMVJF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.3236&json=true","fetch_graph":"https://pith.science/api/pith-number/LKMTMVJFJNCUDMWOIUF2KYY2Q4/graph.json","fetch_events":"https://pith.science/api/pith-number/LKMTMVJFJNCUDMWOIUF2KYY2Q4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LKMTMVJFJNCUDMWOIUF2KYY2Q4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LKMTMVJFJNCUDMWOIUF2KYY2Q4/action/storage_attestation","attest_author":"https://pith.science/pith/LKMTMVJFJNCUDMWOIUF2KYY2Q4/action/author_attestation","sign_citation":"https://pith.science/pith/LKMTMVJFJNCUDMWOIUF2KYY2Q4/action/citation_signature","submit_replication":"https://pith.science/pith/LKMTMVJFJNCUDMWOIUF2KYY2Q4/action/replication_record"}},"created_at":"2026-05-18T01:15:15.410995+00:00","updated_at":"2026-05-18T01:15:15.410995+00:00"}