{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:RX33BPXL6G54XD2G4W6N22A5YL","short_pith_number":"pith:RX33BPXL","canonical_record":{"source":{"id":"1512.04765","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-12-15T12:52:15Z","cross_cats_sorted":[],"title_canon_sha256":"9734f14f1b9bd21a6a98a2594caa7aec01401ea3fd73d8d1ff10fa25f5325da7","abstract_canon_sha256":"3a23aedd75c89d69cbbc634750fee2e30ff127f3ae55f3ab5155a2b2e3c97c24"},"schema_version":"1.0"},"canonical_sha256":"8df7b0beebf1bbcb8f46e5bcdd681dc2df7b431ddcb31b02ece379fda55c3c50","source":{"kind":"arxiv","id":"1512.04765","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.04765","created_at":"2026-05-18T01:19:38Z"},{"alias_kind":"arxiv_version","alias_value":"1512.04765v2","created_at":"2026-05-18T01:19:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.04765","created_at":"2026-05-18T01:19:38Z"},{"alias_kind":"pith_short_12","alias_value":"RX33BPXL6G54","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RX33BPXL6G54XD2G","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RX33BPXL","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:RX33BPXL6G54XD2G4W6N22A5YL","target":"record","payload":{"canonical_record":{"source":{"id":"1512.04765","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-12-15T12:52:15Z","cross_cats_sorted":[],"title_canon_sha256":"9734f14f1b9bd21a6a98a2594caa7aec01401ea3fd73d8d1ff10fa25f5325da7","abstract_canon_sha256":"3a23aedd75c89d69cbbc634750fee2e30ff127f3ae55f3ab5155a2b2e3c97c24"},"schema_version":"1.0"},"canonical_sha256":"8df7b0beebf1bbcb8f46e5bcdd681dc2df7b431ddcb31b02ece379fda55c3c50","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:38.275434Z","signature_b64":"7lCal9g1gmgru7+dCMPDtgNR520An+F4sJxflOVXman74HUliEUinTGdT2kN7gAhcoiGl1Kgqx3aSYS0ligCDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8df7b0beebf1bbcb8f46e5bcdd681dc2df7b431ddcb31b02ece379fda55c3c50","last_reissued_at":"2026-05-18T01:19:38.274816Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:38.274816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.04765","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":"2026-05-18T01:19:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gM9NDWXnF/j1HrGnnIb46thDIqAbboe8CiDnqS5hPBof0LifuqWkngUckyZzBvSjcrLHbo8pt7AkEy2/pdV4DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T18:12:08.155964Z"},"content_sha256":"ccab36edd9f1262e24b2c0c45d3ce074be8685f79063c4501fa4a17e904c2612","schema_version":"1.0","event_id":"sha256:ccab36edd9f1262e24b2c0c45d3ce074be8685f79063c4501fa4a17e904c2612"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:RX33BPXL6G54XD2G4W6N22A5YL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Small Codes for Magic State Distillation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hillary Dawkins, Mark Howard","submitted_at":"2015-12-15T12:52:15Z","abstract_excerpt":"Magic state distillation is a critical component in leading proposals for fault-tolerant quantum computation. Relatively little is known, however, about how to construct a magic state distillation routine or, more specifically, which stabilizer codes are suitable for the task. While transversality of a non-Clifford gate within a code often leads to efficient distillation routines, it appears to not be a necessary condition. Here we have examined a number of small stabilizer codes and highlight a handful of which displaying interesting, albeit inefficient, distillation behaviour. Many of these "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.04765","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":""},"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":"2026-05-18T01:19:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qgV0yiLambuZ4vS7fdZdFAHMn/wPvVx6XFq45uF4HHBc+glDHeU1A0u1CXUZlLtQADHm7KWKtMfHP+98gkKDCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T18:12:08.156685Z"},"content_sha256":"ba4a126ecc02d0ca29807bc999b732f6a5c77954be34f138cc72112c8c667e79","schema_version":"1.0","event_id":"sha256:ba4a126ecc02d0ca29807bc999b732f6a5c77954be34f138cc72112c8c667e79"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RX33BPXL6G54XD2G4W6N22A5YL/bundle.json","state_url":"https://pith.science/pith/RX33BPXL6G54XD2G4W6N22A5YL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RX33BPXL6G54XD2G4W6N22A5YL/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":"2026-06-09T18:12:08Z","links":{"resolver":"https://pith.science/pith/RX33BPXL6G54XD2G4W6N22A5YL","bundle":"https://pith.science/pith/RX33BPXL6G54XD2G4W6N22A5YL/bundle.json","state":"https://pith.science/pith/RX33BPXL6G54XD2G4W6N22A5YL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RX33BPXL6G54XD2G4W6N22A5YL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:RX33BPXL6G54XD2G4W6N22A5YL","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":"3a23aedd75c89d69cbbc634750fee2e30ff127f3ae55f3ab5155a2b2e3c97c24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-12-15T12:52:15Z","title_canon_sha256":"9734f14f1b9bd21a6a98a2594caa7aec01401ea3fd73d8d1ff10fa25f5325da7"},"schema_version":"1.0","source":{"id":"1512.04765","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.04765","created_at":"2026-05-18T01:19:38Z"},{"alias_kind":"arxiv_version","alias_value":"1512.04765v2","created_at":"2026-05-18T01:19:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.04765","created_at":"2026-05-18T01:19:38Z"},{"alias_kind":"pith_short_12","alias_value":"RX33BPXL6G54","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RX33BPXL6G54XD2G","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RX33BPXL","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:ba4a126ecc02d0ca29807bc999b732f6a5c77954be34f138cc72112c8c667e79","target":"graph","created_at":"2026-05-18T01:19:38Z","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"},"paper":{"abstract_excerpt":"Magic state distillation is a critical component in leading proposals for fault-tolerant quantum computation. Relatively little is known, however, about how to construct a magic state distillation routine or, more specifically, which stabilizer codes are suitable for the task. While transversality of a non-Clifford gate within a code often leads to efficient distillation routines, it appears to not be a necessary condition. Here we have examined a number of small stabilizer codes and highlight a handful of which displaying interesting, albeit inefficient, distillation behaviour. Many of these ","authors_text":"Hillary Dawkins, Mark Howard","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-12-15T12:52:15Z","title":"Small Codes for Magic State Distillation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.04765","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:ccab36edd9f1262e24b2c0c45d3ce074be8685f79063c4501fa4a17e904c2612","target":"record","created_at":"2026-05-18T01:19:38Z","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":"3a23aedd75c89d69cbbc634750fee2e30ff127f3ae55f3ab5155a2b2e3c97c24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-12-15T12:52:15Z","title_canon_sha256":"9734f14f1b9bd21a6a98a2594caa7aec01401ea3fd73d8d1ff10fa25f5325da7"},"schema_version":"1.0","source":{"id":"1512.04765","kind":"arxiv","version":2}},"canonical_sha256":"8df7b0beebf1bbcb8f46e5bcdd681dc2df7b431ddcb31b02ece379fda55c3c50","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8df7b0beebf1bbcb8f46e5bcdd681dc2df7b431ddcb31b02ece379fda55c3c50","first_computed_at":"2026-05-18T01:19:38.274816Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:38.274816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7lCal9g1gmgru7+dCMPDtgNR520An+F4sJxflOVXman74HUliEUinTGdT2kN7gAhcoiGl1Kgqx3aSYS0ligCDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:38.275434Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.04765","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ccab36edd9f1262e24b2c0c45d3ce074be8685f79063c4501fa4a17e904c2612","sha256:ba4a126ecc02d0ca29807bc999b732f6a5c77954be34f138cc72112c8c667e79"],"state_sha256":"d8f369d297982f155ae97308fdede5a89ed122d93adc1d1b178150406a3cc9da"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6+p2cTHxgEpFFHpUfk48eiayM7fehrtOaRtMx6SRHI+/qjUBHAIqaPfcmQ6XlGnyJ0naj88+z+I8TVw1v4DqBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T18:12:08.160772Z","bundle_sha256":"bb31a7d274c1624af09b6b419559d6cf8fcf3d7fd4e0421f45dd32efcf84e833"}}