{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:N7MOKU2GUAT43EZQINMGIY3J2F","short_pith_number":"pith:N7MOKU2G","canonical_record":{"source":{"id":"2402.07476","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-02-12T08:32:13Z","cross_cats_sorted":["cs.CC","cs.IT","math.IT"],"title_canon_sha256":"6a3faff25c11b290164fd022479ddd1b0cd60246bda3952b2db9ad9a8300d7c7","abstract_canon_sha256":"371640c9deed87d5e3609c67cfbbd19ed4ef6a5b26cdc057421b9dee5ae736b8"},"schema_version":"1.0"},"canonical_sha256":"6fd8e55346a027cd93304358646369d1456b9b00aca9860d1c233aa2eef5d074","source":{"kind":"arxiv","id":"2402.07476","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.07476","created_at":"2026-07-05T12:05:08Z"},{"alias_kind":"arxiv_version","alias_value":"2402.07476v3","created_at":"2026-07-05T12:05:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.07476","created_at":"2026-07-05T12:05:08Z"},{"alias_kind":"pith_short_12","alias_value":"N7MOKU2GUAT4","created_at":"2026-07-05T12:05:08Z"},{"alias_kind":"pith_short_16","alias_value":"N7MOKU2GUAT43EZQ","created_at":"2026-07-05T12:05:08Z"},{"alias_kind":"pith_short_8","alias_value":"N7MOKU2G","created_at":"2026-07-05T12:05:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:N7MOKU2GUAT43EZQINMGIY3J2F","target":"record","payload":{"canonical_record":{"source":{"id":"2402.07476","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-02-12T08:32:13Z","cross_cats_sorted":["cs.CC","cs.IT","math.IT"],"title_canon_sha256":"6a3faff25c11b290164fd022479ddd1b0cd60246bda3952b2db9ad9a8300d7c7","abstract_canon_sha256":"371640c9deed87d5e3609c67cfbbd19ed4ef6a5b26cdc057421b9dee5ae736b8"},"schema_version":"1.0"},"canonical_sha256":"6fd8e55346a027cd93304358646369d1456b9b00aca9860d1c233aa2eef5d074","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:05:08.046908Z","signature_b64":"ykQldNVOaZv0xqwlt/60f58aNbKEO92Y+BHcHb96qIkqJ3OiSiOpK40u3sYPTMExIWBHlv2cbeiw/kqj8QtZAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6fd8e55346a027cd93304358646369d1456b9b00aca9860d1c233aa2eef5d074","last_reissued_at":"2026-07-05T12:05:08.046266Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:05:08.046266Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2402.07476","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T12:05:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"owkoFGo+IjbL8J6WnmdZ6d67De3IMQLbhU18oneIKh9yNdK3Z/7bD2e+yGOOtS4/hwXCjLFm5C46GW8s/MN6Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:04:07.503979Z"},"content_sha256":"77d791f6f2200db7e033cfebe81958e12b301f20e78123a7d3676ef52cd1a960","schema_version":"1.0","event_id":"sha256:77d791f6f2200db7e033cfebe81958e12b301f20e78123a7d3676ef52cd1a960"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:N7MOKU2GUAT43EZQINMGIY3J2F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Expansion of higher-dimensional cubical complexes with application to quantum locally testable codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC","cs.IT","math.IT"],"primary_cat":"quant-ph","authors_text":"Irit Dinur, Thomas Vidick, Ting-Chun Lin","submitted_at":"2024-02-12T08:32:13Z","abstract_excerpt":"We introduce a high-dimensional cubical complex, for any dimension t>0, and apply it to the design of quantum locally testable codes. Our complex is a natural generalization of the constructions by Panteleev and Kalachev and by Dinur et. al of a square complex (case t=2), which have been applied to the design of classical locally testable codes (LTC) and quantum low-density parity check codes (qLDPC) respectively.\n  We turn the geometric (cubical) complex into a chain complex by relying on constant-sized local codes $h_1,\\ldots,h_t$ as gadgets. A recent result of Panteleev and Kalachev on exis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.07476","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/2402.07476/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":"2026-07-05T12:05:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EaLy/jbD7RGJ78QvVHfBkvQ0cZhelqX5Ng1XkFzIF9+Q35fz0LTwGnzT2ZyamNeUqL2yNPq/VmGNGwkaSmKLBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:04:07.504524Z"},"content_sha256":"ce090a94828091175165099735b542083ecd6700cc5930c1d75cd5faa2785b68","schema_version":"1.0","event_id":"sha256:ce090a94828091175165099735b542083ecd6700cc5930c1d75cd5faa2785b68"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N7MOKU2GUAT43EZQINMGIY3J2F/bundle.json","state_url":"https://pith.science/pith/N7MOKU2GUAT43EZQINMGIY3J2F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N7MOKU2GUAT43EZQINMGIY3J2F/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":"2026-08-03T17:04:07Z","links":{"resolver":"https://pith.science/pith/N7MOKU2GUAT43EZQINMGIY3J2F","bundle":"https://pith.science/pith/N7MOKU2GUAT43EZQINMGIY3J2F/bundle.json","state":"https://pith.science/pith/N7MOKU2GUAT43EZQINMGIY3J2F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N7MOKU2GUAT43EZQINMGIY3J2F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:N7MOKU2GUAT43EZQINMGIY3J2F","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":"371640c9deed87d5e3609c67cfbbd19ed4ef6a5b26cdc057421b9dee5ae736b8","cross_cats_sorted":["cs.CC","cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-02-12T08:32:13Z","title_canon_sha256":"6a3faff25c11b290164fd022479ddd1b0cd60246bda3952b2db9ad9a8300d7c7"},"schema_version":"1.0","source":{"id":"2402.07476","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.07476","created_at":"2026-07-05T12:05:08Z"},{"alias_kind":"arxiv_version","alias_value":"2402.07476v3","created_at":"2026-07-05T12:05:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.07476","created_at":"2026-07-05T12:05:08Z"},{"alias_kind":"pith_short_12","alias_value":"N7MOKU2GUAT4","created_at":"2026-07-05T12:05:08Z"},{"alias_kind":"pith_short_16","alias_value":"N7MOKU2GUAT43EZQ","created_at":"2026-07-05T12:05:08Z"},{"alias_kind":"pith_short_8","alias_value":"N7MOKU2G","created_at":"2026-07-05T12:05:08Z"}],"graph_snapshots":[{"event_id":"sha256:ce090a94828091175165099735b542083ecd6700cc5930c1d75cd5faa2785b68","target":"graph","created_at":"2026-07-05T12:05:08Z","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/2402.07476/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a high-dimensional cubical complex, for any dimension t>0, and apply it to the design of quantum locally testable codes. Our complex is a natural generalization of the constructions by Panteleev and Kalachev and by Dinur et. al of a square complex (case t=2), which have been applied to the design of classical locally testable codes (LTC) and quantum low-density parity check codes (qLDPC) respectively.\n  We turn the geometric (cubical) complex into a chain complex by relying on constant-sized local codes $h_1,\\ldots,h_t$ as gadgets. A recent result of Panteleev and Kalachev on exis","authors_text":"Irit Dinur, Thomas Vidick, Ting-Chun Lin","cross_cats":["cs.CC","cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-02-12T08:32:13Z","title":"Expansion of higher-dimensional cubical complexes with application to quantum locally testable codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.07476","kind":"arxiv","version":3},"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":"sha256:77d791f6f2200db7e033cfebe81958e12b301f20e78123a7d3676ef52cd1a960","target":"record","created_at":"2026-07-05T12:05:08Z","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":"371640c9deed87d5e3609c67cfbbd19ed4ef6a5b26cdc057421b9dee5ae736b8","cross_cats_sorted":["cs.CC","cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-02-12T08:32:13Z","title_canon_sha256":"6a3faff25c11b290164fd022479ddd1b0cd60246bda3952b2db9ad9a8300d7c7"},"schema_version":"1.0","source":{"id":"2402.07476","kind":"arxiv","version":3}},"canonical_sha256":"6fd8e55346a027cd93304358646369d1456b9b00aca9860d1c233aa2eef5d074","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6fd8e55346a027cd93304358646369d1456b9b00aca9860d1c233aa2eef5d074","first_computed_at":"2026-07-05T12:05:08.046266Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:05:08.046266Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ykQldNVOaZv0xqwlt/60f58aNbKEO92Y+BHcHb96qIkqJ3OiSiOpK40u3sYPTMExIWBHlv2cbeiw/kqj8QtZAg==","signature_status":"signed_v1","signed_at":"2026-07-05T12:05:08.046908Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.07476","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77d791f6f2200db7e033cfebe81958e12b301f20e78123a7d3676ef52cd1a960","sha256:ce090a94828091175165099735b542083ecd6700cc5930c1d75cd5faa2785b68"],"state_sha256":"ffd5bc9432e273d7cddaa8bf4ac51c7c2a023a5213e9c5c0f198a1e252dae219"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KXfQ68OqKT4qIRQybwapuoINHvphG3z0LRdaLvZ30TGCVrh2WxKdNmQwhZnF0VPIGT65WjaceXCYov63o4rWAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T17:04:07.510615Z","bundle_sha256":"ace305fc36d2b937f3cfde4eba84c5e16ae617e3504c011b2734305359197321"}}