{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:SDV3KRNVAJ6JLFYIF4OIOBU6FL","short_pith_number":"pith:SDV3KRNV","schema_version":"1.0","canonical_sha256":"90ebb545b5027c9597082f1c87069e2af411e44093519e97b8d35dbed59ede32","source":{"kind":"arxiv","id":"2505.14327","version":1},"attestation_state":"computed","paper":{"title":"Lifting a CSS code via its handlebody realization","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"quant-ph","authors_text":"Virgile Guemard","submitted_at":"2025-05-20T13:11:53Z","abstract_excerpt":"We present a topological approach to lifting a quantum CSS code. In previous work, we proposed lifting a CSS code by constructing covering spaces over its 2D simplicial complex representation, known as the Tanner cone-complex. This idea was inspired by the work of Freedman and Hastings, which associates CSS codes with handlebodies. In this paper, we show how the handlebody realization of a code can also be used to perform code lifting, and we provide a more detailed discussion of why this is essentially equivalent to the Tanner cone-complex approach. As an application, we classify lifts of hyp"},"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":"2505.14327","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-05-20T13:11:53Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"690c2eabc196aa01b359dd6798ce858b3d57321b2a6a6ddf492d54de6c82d178","abstract_canon_sha256":"dcd52330b2d78a2334d85f5d316344f26852377f3c919d675e1b1d7e846c3242"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:05:59.693801Z","signature_b64":"qX3VICECZ8e7D6chotTjK/WiMYKe/UOArV578yRU6HZbrGZC7HemQ9dZL14F+jGIwxMyeLXt7EbPSfE7mjK4Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90ebb545b5027c9597082f1c87069e2af411e44093519e97b8d35dbed59ede32","last_reissued_at":"2026-07-05T11:05:59.693371Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:05:59.693371Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lifting a CSS code via its handlebody realization","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"quant-ph","authors_text":"Virgile Guemard","submitted_at":"2025-05-20T13:11:53Z","abstract_excerpt":"We present a topological approach to lifting a quantum CSS code. In previous work, we proposed lifting a CSS code by constructing covering spaces over its 2D simplicial complex representation, known as the Tanner cone-complex. This idea was inspired by the work of Freedman and Hastings, which associates CSS codes with handlebodies. In this paper, we show how the handlebody realization of a code can also be used to perform code lifting, and we provide a more detailed discussion of why this is essentially equivalent to the Tanner cone-complex approach. As an application, we classify lifts of hyp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.14327","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.14327/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":"2505.14327","created_at":"2026-07-05T11:05:59.693426+00:00"},{"alias_kind":"arxiv_version","alias_value":"2505.14327v1","created_at":"2026-07-05T11:05:59.693426+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.14327","created_at":"2026-07-05T11:05:59.693426+00:00"},{"alias_kind":"pith_short_12","alias_value":"SDV3KRNVAJ6J","created_at":"2026-07-05T11:05:59.693426+00:00"},{"alias_kind":"pith_short_16","alias_value":"SDV3KRNVAJ6JLFYI","created_at":"2026-07-05T11:05:59.693426+00:00"},{"alias_kind":"pith_short_8","alias_value":"SDV3KRNV","created_at":"2026-07-05T11:05:59.693426+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.15056","citing_title":"Transversal non-Clifford gates on qLDPC codes breaking the $\\sqrt{N}$ distance barrier and quantum-inspired geometry with $\\mathbb{Z}_2$ systolic freedom","ref_index":50,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SDV3KRNVAJ6JLFYIF4OIOBU6FL","json":"https://pith.science/pith/SDV3KRNVAJ6JLFYIF4OIOBU6FL.json","graph_json":"https://pith.science/api/pith-number/SDV3KRNVAJ6JLFYIF4OIOBU6FL/graph.json","events_json":"https://pith.science/api/pith-number/SDV3KRNVAJ6JLFYIF4OIOBU6FL/events.json","paper":"https://pith.science/paper/SDV3KRNV"},"agent_actions":{"view_html":"https://pith.science/pith/SDV3KRNVAJ6JLFYIF4OIOBU6FL","download_json":"https://pith.science/pith/SDV3KRNVAJ6JLFYIF4OIOBU6FL.json","view_paper":"https://pith.science/paper/SDV3KRNV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2505.14327&json=true","fetch_graph":"https://pith.science/api/pith-number/SDV3KRNVAJ6JLFYIF4OIOBU6FL/graph.json","fetch_events":"https://pith.science/api/pith-number/SDV3KRNVAJ6JLFYIF4OIOBU6FL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SDV3KRNVAJ6JLFYIF4OIOBU6FL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SDV3KRNVAJ6JLFYIF4OIOBU6FL/action/storage_attestation","attest_author":"https://pith.science/pith/SDV3KRNVAJ6JLFYIF4OIOBU6FL/action/author_attestation","sign_citation":"https://pith.science/pith/SDV3KRNVAJ6JLFYIF4OIOBU6FL/action/citation_signature","submit_replication":"https://pith.science/pith/SDV3KRNVAJ6JLFYIF4OIOBU6FL/action/replication_record"}},"created_at":"2026-07-05T11:05:59.693426+00:00","updated_at":"2026-07-05T11:05:59.693426+00:00"}