{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:44FG6NBJNOBRT5FAFXOFITESEW","short_pith_number":"pith:44FG6NBJ","canonical_record":{"source":{"id":"2507.19430","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-07-25T16:57:21Z","cross_cats_sorted":[],"title_canon_sha256":"3512f8d53db206d1953339470d584d695f06ceba34e863555e8155952f3e7b1f","abstract_canon_sha256":"fda7a165651356bbe832c805cff99728067d51aa8b969d7216d60cef90ce103b"},"schema_version":"1.0"},"canonical_sha256":"e70a6f34296b8319f4a02ddc544c9225ab3656eaf7dd84b07406fe3231ef2d68","source":{"kind":"arxiv","id":"2507.19430","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.19430","created_at":"2026-07-05T11:48:51Z"},{"alias_kind":"arxiv_version","alias_value":"2507.19430v2","created_at":"2026-07-05T11:48:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.19430","created_at":"2026-07-05T11:48:51Z"},{"alias_kind":"pith_short_12","alias_value":"44FG6NBJNOBR","created_at":"2026-07-05T11:48:51Z"},{"alias_kind":"pith_short_16","alias_value":"44FG6NBJNOBRT5FA","created_at":"2026-07-05T11:48:51Z"},{"alias_kind":"pith_short_8","alias_value":"44FG6NBJ","created_at":"2026-07-05T11:48:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:44FG6NBJNOBRT5FAFXOFITESEW","target":"record","payload":{"canonical_record":{"source":{"id":"2507.19430","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-07-25T16:57:21Z","cross_cats_sorted":[],"title_canon_sha256":"3512f8d53db206d1953339470d584d695f06ceba34e863555e8155952f3e7b1f","abstract_canon_sha256":"fda7a165651356bbe832c805cff99728067d51aa8b969d7216d60cef90ce103b"},"schema_version":"1.0"},"canonical_sha256":"e70a6f34296b8319f4a02ddc544c9225ab3656eaf7dd84b07406fe3231ef2d68","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:48:51.944052Z","signature_b64":"J7L1hVZA/W+qyaSKw0YeJ96ZHYHrOtnO2fBZHHgDV7P/7kTezlUrhJd61Rhi79Sc2oslEoyqxIwwrryXAuf9Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e70a6f34296b8319f4a02ddc544c9225ab3656eaf7dd84b07406fe3231ef2d68","last_reissued_at":"2026-07-05T11:48:51.943638Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:48:51.943638Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.19430","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:48:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eCr6UG6YJ7egmwMO5luebbUX1xNZU7Tp+hWqdfNaJltWRI/BtVFphaQvTH1FKcNpkoysudSdrAr3JFmvqJ5ODQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-22T17:28:36.652950Z"},"content_sha256":"014f89c8a5e14113c08ffa495a4121c00d5cd55d5f101a4f96632bd94b193710","schema_version":"1.0","event_id":"sha256:014f89c8a5e14113c08ffa495a4121c00d5cd55d5f101a4f96632bd94b193710"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:44FG6NBJNOBRT5FAFXOFITESEW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Directional Codes: a new family of quantum LDPC codes on hexagonal- and square-grid connectivity hardware","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Archibald Ruban, David Byfield, Gy\\\"orgy P. Geh\\'er","submitted_at":"2025-07-25T16:57:21Z","abstract_excerpt":"Utility-scale quantum computing requires quantum error correction (QEC) to protect quantum information against noise. Currently, superconducting hardware is a promising candidate for achieving fault tolerance due to its fast gate times and feasible scalability. However, it is often restricted to two-dimensional nearest-neighbour connectivity, which is thought to be incapable of accommodating high-rate quantum low-density parity-check (qLDPC) codes that promise to greatly reduce the number of physical qubits needed to encode logical qubits. In this paper we construct a new family of qLDPC codes"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.19430","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2507.19430/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":"2026-07-05T11:48:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uQmtNZ5IIA4BZoBl1OkTtPBo/4luuiYJ6b9A/qDTBcOZRZhwCXrhP28/TbOL8jcawgDHpgGMcVfa9x3Qf+/NBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-22T17:28:36.653330Z"},"content_sha256":"36926e152e007bd7dbf9581ec20f3768096e8ff2a9b6f65f877c1ad5632c3256","schema_version":"1.0","event_id":"sha256:36926e152e007bd7dbf9581ec20f3768096e8ff2a9b6f65f877c1ad5632c3256"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/44FG6NBJNOBRT5FAFXOFITESEW/bundle.json","state_url":"https://pith.science/pith/44FG6NBJNOBRT5FAFXOFITESEW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/44FG6NBJNOBRT5FAFXOFITESEW/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":"2026-07-22T17:28:36Z","links":{"resolver":"https://pith.science/pith/44FG6NBJNOBRT5FAFXOFITESEW","bundle":"https://pith.science/pith/44FG6NBJNOBRT5FAFXOFITESEW/bundle.json","state":"https://pith.science/pith/44FG6NBJNOBRT5FAFXOFITESEW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/44FG6NBJNOBRT5FAFXOFITESEW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:44FG6NBJNOBRT5FAFXOFITESEW","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":"fda7a165651356bbe832c805cff99728067d51aa8b969d7216d60cef90ce103b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-07-25T16:57:21Z","title_canon_sha256":"3512f8d53db206d1953339470d584d695f06ceba34e863555e8155952f3e7b1f"},"schema_version":"1.0","source":{"id":"2507.19430","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.19430","created_at":"2026-07-05T11:48:51Z"},{"alias_kind":"arxiv_version","alias_value":"2507.19430v2","created_at":"2026-07-05T11:48:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.19430","created_at":"2026-07-05T11:48:51Z"},{"alias_kind":"pith_short_12","alias_value":"44FG6NBJNOBR","created_at":"2026-07-05T11:48:51Z"},{"alias_kind":"pith_short_16","alias_value":"44FG6NBJNOBRT5FA","created_at":"2026-07-05T11:48:51Z"},{"alias_kind":"pith_short_8","alias_value":"44FG6NBJ","created_at":"2026-07-05T11:48:51Z"}],"graph_snapshots":[{"event_id":"sha256:36926e152e007bd7dbf9581ec20f3768096e8ff2a9b6f65f877c1ad5632c3256","target":"graph","created_at":"2026-07-05T11:48:51Z","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/2507.19430/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Utility-scale quantum computing requires quantum error correction (QEC) to protect quantum information against noise. Currently, superconducting hardware is a promising candidate for achieving fault tolerance due to its fast gate times and feasible scalability. However, it is often restricted to two-dimensional nearest-neighbour connectivity, which is thought to be incapable of accommodating high-rate quantum low-density parity-check (qLDPC) codes that promise to greatly reduce the number of physical qubits needed to encode logical qubits. In this paper we construct a new family of qLDPC codes","authors_text":"Archibald Ruban, David Byfield, Gy\\\"orgy P. Geh\\'er","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-07-25T16:57:21Z","title":"Directional Codes: a new family of quantum LDPC codes on hexagonal- and square-grid connectivity hardware"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.19430","kind":"arxiv","version":2},"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":"sha256:014f89c8a5e14113c08ffa495a4121c00d5cd55d5f101a4f96632bd94b193710","target":"record","created_at":"2026-07-05T11:48:51Z","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":"fda7a165651356bbe832c805cff99728067d51aa8b969d7216d60cef90ce103b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-07-25T16:57:21Z","title_canon_sha256":"3512f8d53db206d1953339470d584d695f06ceba34e863555e8155952f3e7b1f"},"schema_version":"1.0","source":{"id":"2507.19430","kind":"arxiv","version":2}},"canonical_sha256":"e70a6f34296b8319f4a02ddc544c9225ab3656eaf7dd84b07406fe3231ef2d68","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e70a6f34296b8319f4a02ddc544c9225ab3656eaf7dd84b07406fe3231ef2d68","first_computed_at":"2026-07-05T11:48:51.943638Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:48:51.943638Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J7L1hVZA/W+qyaSKw0YeJ96ZHYHrOtnO2fBZHHgDV7P/7kTezlUrhJd61Rhi79Sc2oslEoyqxIwwrryXAuf9Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:48:51.944052Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.19430","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:014f89c8a5e14113c08ffa495a4121c00d5cd55d5f101a4f96632bd94b193710","sha256:36926e152e007bd7dbf9581ec20f3768096e8ff2a9b6f65f877c1ad5632c3256"],"state_sha256":"13cd27bb1fd31d6eaf29b31772931685221bebe7a33d0773a6b008bda9980c8f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qaXjX2J1XlLwIJFC60KRZFOiSjQ6uOWeOFkTt//Bzwaos5G56tHrzpODd69byTJyZuPXZSwdv1eR9EknkRIjCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-22T17:28:36.655433Z","bundle_sha256":"31faf2ce7eb2b96103db6ddf27184a1014a00a2861f3f04f120cf99ce5042b94"}}