{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:VK6P7UEUCJGZ6XVWXWLWE7SXJP","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":"87b605c1c3a7ba79db20ea6650a4b586637e6948a3eaa0490b46d9eca4a2caa5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-09T05:14:50Z","title_canon_sha256":"5e11724aa73f7fb3455207362e30458dfd12659d35e1c4cd92282e7847bbe815"},"schema_version":"1.0","source":{"id":"2606.10430","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.10430","created_at":"2026-06-10T01:10:18Z"},{"alias_kind":"arxiv_version","alias_value":"2606.10430v1","created_at":"2026-06-10T01:10:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.10430","created_at":"2026-06-10T01:10:18Z"},{"alias_kind":"pith_short_12","alias_value":"VK6P7UEUCJGZ","created_at":"2026-06-10T01:10:18Z"},{"alias_kind":"pith_short_16","alias_value":"VK6P7UEUCJGZ6XVW","created_at":"2026-06-10T01:10:18Z"},{"alias_kind":"pith_short_8","alias_value":"VK6P7UEU","created_at":"2026-06-10T01:10:18Z"}],"graph_snapshots":[{"event_id":"sha256:2351dbfda3ea07c1a28de9e153059305d112463be4c9d6196c69888bd029c0df","target":"graph","created_at":"2026-06-10T01:10:18Z","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/2606.10430/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recently, experimental and theoretical quantum error correction methodology has seen remarkable breakthroughs. In particular, magic state cultivation has been shown to simplify magic-state preparation and make it feasible for near-term devices. However, recent research on magic state cultivation has focused primarily on the cultivation of $T\\left| + \\right>_L$. Only a few other magic state cultivation methods beyond $T\\left| + \\right>_L$ have been investigated. Here, we generalize phase kickback checks for magic states at arbitrary Clifford hierarchy levels in specific codes. We provide an exa","authors_text":"Andrew Sornborger, I-Chi Chen, Matheus da Silva Fonseca","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-09T05:14:50Z","title":"Efficient Magic State Cultivation for $\\sqrt{T}$ Gates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.10430","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":"sha256:9c7eb2c71b7ef04ac159f3fb985cf185041ce658b444be7169e53b85e49a94d7","target":"record","created_at":"2026-06-10T01:10:18Z","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":"87b605c1c3a7ba79db20ea6650a4b586637e6948a3eaa0490b46d9eca4a2caa5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-09T05:14:50Z","title_canon_sha256":"5e11724aa73f7fb3455207362e30458dfd12659d35e1c4cd92282e7847bbe815"},"schema_version":"1.0","source":{"id":"2606.10430","kind":"arxiv","version":1}},"canonical_sha256":"aabcffd094124d9f5eb6bd97627e574be0d7bd54e4b75db466a41cd2acb63b32","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aabcffd094124d9f5eb6bd97627e574be0d7bd54e4b75db466a41cd2acb63b32","first_computed_at":"2026-06-10T01:10:18.535307Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-10T01:10:18.535307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G3hwzcn/+Wc6OKeAJGFHDS8fOlDWD98bArt123nIgIAAwG1KutHeFVop6j7WIF6uKHPABaTq0OzR6mVw2wSGDg==","signature_status":"signed_v1","signed_at":"2026-06-10T01:10:18.536170Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.10430","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c7eb2c71b7ef04ac159f3fb985cf185041ce658b444be7169e53b85e49a94d7","sha256:2351dbfda3ea07c1a28de9e153059305d112463be4c9d6196c69888bd029c0df"],"state_sha256":"054a5567ba4b739fe7db808f9ac6ad7c6ab2fcc0f45c4c759202c9e9867601c8"}