{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:OHGOXNC3E4T7AT3HLXNWA7SNRC","short_pith_number":"pith:OHGOXNC3","canonical_record":{"source":{"id":"2607.05501","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-06T18:00:02Z","cross_cats_sorted":["cs.ET"],"title_canon_sha256":"5d9751dca923450e7638a8d1858fead0aacc6abd2612eee7545dbcf9be96e99e","abstract_canon_sha256":"09c8d0080a46758c7abad038a35b79dda3d52d4035be322f2669c4ef832b745c"},"schema_version":"1.0"},"canonical_sha256":"71ccebb45b2727f04f675ddb607e4d889c8395deef4502740e1b07d3f3e3a993","source":{"kind":"arxiv","id":"2607.05501","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.05501","created_at":"2026-07-08T01:18:35Z"},{"alias_kind":"arxiv_version","alias_value":"2607.05501v1","created_at":"2026-07-08T01:18:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.05501","created_at":"2026-07-08T01:18:35Z"},{"alias_kind":"pith_short_12","alias_value":"OHGOXNC3E4T7","created_at":"2026-07-08T01:18:35Z"},{"alias_kind":"pith_short_16","alias_value":"OHGOXNC3E4T7AT3H","created_at":"2026-07-08T01:18:35Z"},{"alias_kind":"pith_short_8","alias_value":"OHGOXNC3","created_at":"2026-07-08T01:18:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:OHGOXNC3E4T7AT3HLXNWA7SNRC","target":"record","payload":{"canonical_record":{"source":{"id":"2607.05501","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-06T18:00:02Z","cross_cats_sorted":["cs.ET"],"title_canon_sha256":"5d9751dca923450e7638a8d1858fead0aacc6abd2612eee7545dbcf9be96e99e","abstract_canon_sha256":"09c8d0080a46758c7abad038a35b79dda3d52d4035be322f2669c4ef832b745c"},"schema_version":"1.0"},"canonical_sha256":"71ccebb45b2727f04f675ddb607e4d889c8395deef4502740e1b07d3f3e3a993","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-08T01:18:35.321923Z","signature_b64":"3AUOCOMYDWfwd6g25QtxNRjf2qdRZ+hE+51jcv73bbECBWaTyMQqHosbi1wI0qJxNHQOe+9P3nAZa4PmBviyBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"71ccebb45b2727f04f675ddb607e4d889c8395deef4502740e1b07d3f3e3a993","last_reissued_at":"2026-07-08T01:18:35.321300Z","signature_status":"signed_v1","first_computed_at":"2026-07-08T01:18:35.321300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.05501","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":"2026-07-08T01:18:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7I5YN7RAK1GI6cWBso5hSIEqYunCFtBEV3UrujP6G7DBn62UGJD84z/AooDIHTXUuF9YjV+wzUrIGvjoxXNRCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T12:50:32.776737Z"},"content_sha256":"5baf1f131253d5dee61ddc46925817e10bae1cc05c84df9459ef52df96b7b009","schema_version":"1.0","event_id":"sha256:5baf1f131253d5dee61ddc46925817e10bae1cc05c84df9459ef52df96b7b009"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:OHGOXNC3E4T7AT3HLXNWA7SNRC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Towards Lattice Surgery Compilation for the Color Code Using Pipe Diagrams","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.ET"],"primary_cat":"quant-ph","authors_text":"Austin Fowler, Gilad Kishony, Laura S. Herzog, Robert Wille","submitted_at":"2026-07-06T18:00:02Z","abstract_excerpt":"Pipe diagrams have emerged as a powerful framework for flexible lattice surgery compilation and spacetime optimization for the surface code. In contrast, analogous compilation techniques for color code architectures remain largely unexplored, despite the color code's favorable properties, including reduced qubit overhead and transversal single-qubit Clifford gates. In this work, we develop a pipe diagram representation for the triangular color code on the 6.6.6 lattice and establish its correspondence to ZX-diagrammatic descriptions of computation. We present distance-independent constructions"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.05501","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/2607.05501/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":"2026-07-08T01:18:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xA/GjGyedYVdrD+ZquPtJGqv/coEkqEisqTYUx5TAhcb5E5bnicBcoAA0nYP5cFsXV/DyY3npb7ssoX8zk48DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T12:50:32.777253Z"},"content_sha256":"8662b51a4bde288f8a6560ff8147618075fc9d9ef7b72cfc37f25f489a12b647","schema_version":"1.0","event_id":"sha256:8662b51a4bde288f8a6560ff8147618075fc9d9ef7b72cfc37f25f489a12b647"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OHGOXNC3E4T7AT3HLXNWA7SNRC/bundle.json","state_url":"https://pith.science/pith/OHGOXNC3E4T7AT3HLXNWA7SNRC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OHGOXNC3E4T7AT3HLXNWA7SNRC/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":"2026-08-17T12:50:32Z","links":{"resolver":"https://pith.science/pith/OHGOXNC3E4T7AT3HLXNWA7SNRC","bundle":"https://pith.science/pith/OHGOXNC3E4T7AT3HLXNWA7SNRC/bundle.json","state":"https://pith.science/pith/OHGOXNC3E4T7AT3HLXNWA7SNRC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OHGOXNC3E4T7AT3HLXNWA7SNRC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:OHGOXNC3E4T7AT3HLXNWA7SNRC","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":"09c8d0080a46758c7abad038a35b79dda3d52d4035be322f2669c4ef832b745c","cross_cats_sorted":["cs.ET"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-06T18:00:02Z","title_canon_sha256":"5d9751dca923450e7638a8d1858fead0aacc6abd2612eee7545dbcf9be96e99e"},"schema_version":"1.0","source":{"id":"2607.05501","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.05501","created_at":"2026-07-08T01:18:35Z"},{"alias_kind":"arxiv_version","alias_value":"2607.05501v1","created_at":"2026-07-08T01:18:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.05501","created_at":"2026-07-08T01:18:35Z"},{"alias_kind":"pith_short_12","alias_value":"OHGOXNC3E4T7","created_at":"2026-07-08T01:18:35Z"},{"alias_kind":"pith_short_16","alias_value":"OHGOXNC3E4T7AT3H","created_at":"2026-07-08T01:18:35Z"},{"alias_kind":"pith_short_8","alias_value":"OHGOXNC3","created_at":"2026-07-08T01:18:35Z"}],"graph_snapshots":[{"event_id":"sha256:8662b51a4bde288f8a6560ff8147618075fc9d9ef7b72cfc37f25f489a12b647","target":"graph","created_at":"2026-07-08T01:18:35Z","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/2607.05501/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Pipe diagrams have emerged as a powerful framework for flexible lattice surgery compilation and spacetime optimization for the surface code. In contrast, analogous compilation techniques for color code architectures remain largely unexplored, despite the color code's favorable properties, including reduced qubit overhead and transversal single-qubit Clifford gates. In this work, we develop a pipe diagram representation for the triangular color code on the 6.6.6 lattice and establish its correspondence to ZX-diagrammatic descriptions of computation. We present distance-independent constructions","authors_text":"Austin Fowler, Gilad Kishony, Laura S. Herzog, Robert Wille","cross_cats":["cs.ET"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-06T18:00:02Z","title":"Towards Lattice Surgery Compilation for the Color Code Using Pipe Diagrams"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.05501","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":"sha256:5baf1f131253d5dee61ddc46925817e10bae1cc05c84df9459ef52df96b7b009","target":"record","created_at":"2026-07-08T01:18:35Z","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":"09c8d0080a46758c7abad038a35b79dda3d52d4035be322f2669c4ef832b745c","cross_cats_sorted":["cs.ET"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-06T18:00:02Z","title_canon_sha256":"5d9751dca923450e7638a8d1858fead0aacc6abd2612eee7545dbcf9be96e99e"},"schema_version":"1.0","source":{"id":"2607.05501","kind":"arxiv","version":1}},"canonical_sha256":"71ccebb45b2727f04f675ddb607e4d889c8395deef4502740e1b07d3f3e3a993","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71ccebb45b2727f04f675ddb607e4d889c8395deef4502740e1b07d3f3e3a993","first_computed_at":"2026-07-08T01:18:35.321300Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-08T01:18:35.321300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3AUOCOMYDWfwd6g25QtxNRjf2qdRZ+hE+51jcv73bbECBWaTyMQqHosbi1wI0qJxNHQOe+9P3nAZa4PmBviyBA==","signature_status":"signed_v1","signed_at":"2026-07-08T01:18:35.321923Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.05501","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5baf1f131253d5dee61ddc46925817e10bae1cc05c84df9459ef52df96b7b009","sha256:8662b51a4bde288f8a6560ff8147618075fc9d9ef7b72cfc37f25f489a12b647"],"state_sha256":"f71153f138d090f81c337bb6b0e71a1e8a4fd97082d3c264cb583b85911a47c2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M9mAIsA0rhu0ppp0AUmyEZQUSbcQAerf1vjJut24TDl8XZ+8cZAa2pQL+N6M7TBKgLeLZfh946CvGDkK5tjxDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T12:50:32.790166Z","bundle_sha256":"f6a699e24dad139853ee895d12656fa63ae55434971409ab9ea0f709897b210e"}}