{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:7IFAJR3RPLUXLL3YIOU5OOGJWR","short_pith_number":"pith:7IFAJR3R","canonical_record":{"source":{"id":"2302.04317","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-02-08T20:19:28Z","cross_cats_sorted":[],"title_canon_sha256":"d4b2fa33e1675531497848c81fd6c6743666b938423b98642eb3e8e6571ae056","abstract_canon_sha256":"b9fc30120f6369e91f49b18452f872dc3cd76eab41560e15e6da46842f7fcf6e"},"schema_version":"1.0"},"canonical_sha256":"fa0a04c7717ae975af7843a9d738c9b445235330dcb9ee16a5172a7c0cc2d9b4","source":{"kind":"arxiv","id":"2302.04317","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.04317","created_at":"2026-07-05T05:40:12Z"},{"alias_kind":"arxiv_version","alias_value":"2302.04317v1","created_at":"2026-07-05T05:40:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.04317","created_at":"2026-07-05T05:40:12Z"},{"alias_kind":"pith_short_12","alias_value":"7IFAJR3RPLUX","created_at":"2026-07-05T05:40:12Z"},{"alias_kind":"pith_short_16","alias_value":"7IFAJR3RPLUXLL3Y","created_at":"2026-07-05T05:40:12Z"},{"alias_kind":"pith_short_8","alias_value":"7IFAJR3R","created_at":"2026-07-05T05:40:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:7IFAJR3RPLUXLL3YIOU5OOGJWR","target":"record","payload":{"canonical_record":{"source":{"id":"2302.04317","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-02-08T20:19:28Z","cross_cats_sorted":[],"title_canon_sha256":"d4b2fa33e1675531497848c81fd6c6743666b938423b98642eb3e8e6571ae056","abstract_canon_sha256":"b9fc30120f6369e91f49b18452f872dc3cd76eab41560e15e6da46842f7fcf6e"},"schema_version":"1.0"},"canonical_sha256":"fa0a04c7717ae975af7843a9d738c9b445235330dcb9ee16a5172a7c0cc2d9b4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:40:12.395025Z","signature_b64":"MxD38XwDqO+nhtD122Jj9AlGQ/hHGLaXgbDC4sV7gBGAgwYXeRttmcY4mg24mA10zWj/BqsWrsNgbv8JF+XnDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa0a04c7717ae975af7843a9d738c9b445235330dcb9ee16a5172a7c0cc2d9b4","last_reissued_at":"2026-07-05T05:40:12.394584Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:40:12.394584Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2302.04317","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:40:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NP1g4Mo7BYcoiv0IUcfD3XivYiM6cUf/rTB+LExPiyjlxZWbP531NkIM0bRk0TNK2p6CWUW1eFdEBbHyXd8eDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T09:49:19.799958Z"},"content_sha256":"8076681fc7119912ef33196da76c1d4bb3cad83e802995a87feb5bb8505b4e42","schema_version":"1.0","event_id":"sha256:8076681fc7119912ef33196da76c1d4bb3cad83e802995a87feb5bb8505b4e42"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:7IFAJR3RPLUXLL3YIOU5OOGJWR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A lower bound on the overhead of quantum error correction in low dimensions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Ala Shayeghi, Nou\\'edyn Baspin, Omar Fawzi","submitted_at":"2023-02-08T20:19:28Z","abstract_excerpt":"We show that a quantum architecture with an error correction procedure limited to geometrically local operations incurs an overhead that grows with the system size, even if arbitrary error-free classical computation is allowed. In particular, we prove that in order to operate a quantum error correcting code in 2D at a logical error rate of $\\delta$, a space overhead of $\\Omega(\\sqrt{\\log(1/\\delta)})$ is needed for any constant depolarizing noise $p > 0$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.04317","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/2302.04317/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:40:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7IPwcDIlMTKDqJu4K1w/TcLFwBajLlaXf4P0MTvQ8W2h/GV+ZW2u0myydC6Yebvu+GfT3niqrZsW4Y7/OdvsDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T09:49:19.800536Z"},"content_sha256":"254a348d198a50d5cb48d9d83580309c831d330771bad9325d33eb9277e5669b","schema_version":"1.0","event_id":"sha256:254a348d198a50d5cb48d9d83580309c831d330771bad9325d33eb9277e5669b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7IFAJR3RPLUXLL3YIOU5OOGJWR/bundle.json","state_url":"https://pith.science/pith/7IFAJR3RPLUXLL3YIOU5OOGJWR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7IFAJR3RPLUXLL3YIOU5OOGJWR/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-06T09:49:19Z","links":{"resolver":"https://pith.science/pith/7IFAJR3RPLUXLL3YIOU5OOGJWR","bundle":"https://pith.science/pith/7IFAJR3RPLUXLL3YIOU5OOGJWR/bundle.json","state":"https://pith.science/pith/7IFAJR3RPLUXLL3YIOU5OOGJWR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7IFAJR3RPLUXLL3YIOU5OOGJWR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:7IFAJR3RPLUXLL3YIOU5OOGJWR","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"b9fc30120f6369e91f49b18452f872dc3cd76eab41560e15e6da46842f7fcf6e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-02-08T20:19:28Z","title_canon_sha256":"d4b2fa33e1675531497848c81fd6c6743666b938423b98642eb3e8e6571ae056"},"schema_version":"1.0","source":{"id":"2302.04317","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.04317","created_at":"2026-07-05T05:40:12Z"},{"alias_kind":"arxiv_version","alias_value":"2302.04317v1","created_at":"2026-07-05T05:40:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.04317","created_at":"2026-07-05T05:40:12Z"},{"alias_kind":"pith_short_12","alias_value":"7IFAJR3RPLUX","created_at":"2026-07-05T05:40:12Z"},{"alias_kind":"pith_short_16","alias_value":"7IFAJR3RPLUXLL3Y","created_at":"2026-07-05T05:40:12Z"},{"alias_kind":"pith_short_8","alias_value":"7IFAJR3R","created_at":"2026-07-05T05:40:12Z"}],"graph_snapshots":[{"event_id":"sha256:254a348d198a50d5cb48d9d83580309c831d330771bad9325d33eb9277e5669b","target":"graph","created_at":"2026-07-05T05:40:12Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2302.04317/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that a quantum architecture with an error correction procedure limited to geometrically local operations incurs an overhead that grows with the system size, even if arbitrary error-free classical computation is allowed. In particular, we prove that in order to operate a quantum error correcting code in 2D at a logical error rate of $\\delta$, a space overhead of $\\Omega(\\sqrt{\\log(1/\\delta)})$ is needed for any constant depolarizing noise $p > 0$.","authors_text":"Ala Shayeghi, Nou\\'edyn Baspin, Omar Fawzi","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-02-08T20:19:28Z","title":"A lower bound on the overhead of quantum error correction in low dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.04317","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8076681fc7119912ef33196da76c1d4bb3cad83e802995a87feb5bb8505b4e42","target":"record","created_at":"2026-07-05T05:40:12Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"b9fc30120f6369e91f49b18452f872dc3cd76eab41560e15e6da46842f7fcf6e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-02-08T20:19:28Z","title_canon_sha256":"d4b2fa33e1675531497848c81fd6c6743666b938423b98642eb3e8e6571ae056"},"schema_version":"1.0","source":{"id":"2302.04317","kind":"arxiv","version":1}},"canonical_sha256":"fa0a04c7717ae975af7843a9d738c9b445235330dcb9ee16a5172a7c0cc2d9b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa0a04c7717ae975af7843a9d738c9b445235330dcb9ee16a5172a7c0cc2d9b4","first_computed_at":"2026-07-05T05:40:12.394584Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:40:12.394584Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MxD38XwDqO+nhtD122Jj9AlGQ/hHGLaXgbDC4sV7gBGAgwYXeRttmcY4mg24mA10zWj/BqsWrsNgbv8JF+XnDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:40:12.395025Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.04317","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8076681fc7119912ef33196da76c1d4bb3cad83e802995a87feb5bb8505b4e42","sha256:254a348d198a50d5cb48d9d83580309c831d330771bad9325d33eb9277e5669b"],"state_sha256":"97a9f60cc1ea0dc8b8ed276fdbe240fabe9a7efaffe4bb43c809594a24f2c63c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C6iWhi51d07SUK+nwHtC/qDCceN1vIbR9QJFw0Df/RDLzAifUNuRlBnCtBydB0NclSDk8SK/X++kkTleLh5iBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T09:49:19.804099Z","bundle_sha256":"4b3f0d26f4f230751c27afdfbcf01c11ddc034a9b669d4e168fbbacc2148d78b"}}