{"as_of":"2026-08-22T22:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:bb84760d86013d157f4abd202696e3dedbe877bffd22de5080e58b73b0662fa1","coverage":[{"denominator":135,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T01:03:22.497806Z","state":"measured"},{"denominator":100,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":100,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2608.05688/citation-record","integrity":"/paper/2608.05688/integrity","json":"/paper/2608.05688/citation-record.json","paper":"/paper/2608.05688"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.160173Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.160173Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:e51433493d68614be202a4990167fa7cf6c54fb778f97088b7c42d9d5c172eee","observation_id":"352c213e-788a-41fb-969c-d6d553ab6579","resolution":{"observed_at":"2026-08-08T01:03:22.160173Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.164472Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.164472Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:c20324f4ad2f032ddb9c6b5eb8be946fb5e7c45432e432387e31774b13053513","observation_id":"08ac5db9-9f46-444d-bba5-9489d23b2588","resolution":{"observed_at":"2026-08-08T01:03:22.164472Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.168025Z","title":"We identify that ingredient","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.168025Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:4e37039498a1dc7f5162342f0327df8ea7a27a5de6e4317f8900702cd3aa5a4d","observation_id":"87afe534-0722-4891-95ed-f11b1781c426","resolution":{"observed_at":"2026-08-08T01:03:22.168025Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.172163Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.172163Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:d48244cacc86261b21b7c8e73c97b054c7cb45859523c29680ee510181b0961f","observation_id":"8dfb4496-f4d9-4ae8-82e6-08a535b02197","resolution":{"observed_at":"2026-08-08T01:03:22.172163Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.175627Z","title":"The permutation part now follows from the same lemma, applied with the two spaces distinct","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.175627Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:95d3294ada393177bdf9575c3ce8fc6205dbbad1dc80a9d5b24bdf28da0b4c67","observation_id":"3737a2fa-bb6d-4027-9766-b51868b3850e","resolution":{"observed_at":"2026-08-08T01:03:22.175627Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.178850Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.178850Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:6938a19cde0fd4b3d22004520ab5b0a450ce93cca64f310a1b36e7614a215ae0","observation_id":"07bf3363-30dd-4c96-aea8-031f496f6328","resolution":{"observed_at":"2026-08-08T01:03:22.178850Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.181823Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.181823Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:68833be6e34106f621482533a028ba46d53f5b172b07ab51938550c730382b0e","observation_id":"19c96170-bbde-4dce-b8b2-ad4f66a0bbc6","resolution":{"observed_at":"2026-08-08T01:03:22.181823Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.184813Z","title":"Bluvstein, S","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.184813Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:752d49e7fb3b5ae7120ea91aa8c2d35b5c05765ddcf0e5b80208e80d1c37050c","observation_id":"88082d14-890d-480f-8227-a75676e0354f","resolution":{"observed_at":"2026-08-08T01:03:22.184813Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.02280","last_updated":"2024-11-17T20:10:48Z","snapshot_observed_at":"2026-08-16T17:50:10.506545Z","submitted_at":"2024-04-02T20:14:13Z","title":"Demonstration of logical qubits and repeated error correction with better-than-physical error rates","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.02280","snapshot_observed_at":"2026-08-08T01:03:22.187840Z","title":"Paetznick, M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.187840Z"},"links":{"cited_paper":"/paper/2404.02280","citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:208d440e88557892556f43f85541c034c073aaa096c095d4227ca77388fdfa40","observation_id":"18b77789-f593-4ad1-af7a-4509b3808892","resolution":{"observed_at":"2026-08-08T01:03:22.187840Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.191646Z","title":"Bravyi, A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.191646Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:6ee734d31b68f04fd433f9351d9badee777a1ce1d9c0f661ab08824b81cbde30","observation_id":"cbebf164-b0b6-4acf-a0e1-799c04070949","resolution":{"observed_at":"2026-08-08T01:03:22.191646Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2605.30455","last_updated":"2026-05-28T18:27:34Z","snapshot_observed_at":"2026-08-06T15:24:10.822802Z","submitted_at":"2026-05-28T18:27:34Z","title":"A Denser Planar Surface Code","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.30455","snapshot_observed_at":"2026-08-08T01:03:22.194553Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.194553Z"},"links":{"cited_paper":"/paper/2605.30455","citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:bcba700047ecf567360992e385be7c7df7f4d97b65c52e6f0b68cefab025e609","observation_id":"91b96e9e-292a-4a74-b125-f43bab6cdb51","resolution":{"observed_at":"2026-08-08T01:03:22.194553Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2603.28627","last_updated":"2026-03-30T16:10:08Z","snapshot_observed_at":"2026-08-09T07:47:35.087503Z","submitted_at":"2026-03-30T16:10:08Z","title":"Shor's algorithm is possible with as few as 10,000 reconfigurable atomic qubits","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2603.28627","snapshot_observed_at":"2026-08-08T01:03:22.198381Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.198381Z"},"links":{"cited_paper":"/paper/2603.28627","citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:87c7b316e58f59532851ac56265aeab5e6b1a1c4a35545588f87be17b4eebe78","observation_id":"d31d5027-275b-4eb1-9499-0dce9fd8ee5d","resolution":{"observed_at":"2026-08-08T01:03:22.198381Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.201910Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.201910Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:d9853aedc49ea68ad6fcbf5a80cec9d0e3cbcd8951a28035fb73c68d70f5b14c","observation_id":"37064d0b-a2f0-4d35-82e2-81b7966407cd","resolution":{"observed_at":"2026-08-08T01:03:22.201910Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.205084Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.205084Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:e6d72c930ca7c4c95010deae40ab5bee6d1a4328a9d347b8e6662ef740d22f4e","observation_id":"715075b7-7182-403e-85d1-1f081aa9813a","resolution":{"observed_at":"2026-08-08T01:03:22.205084Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.208410Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.208410Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:a747efe32e4644b609cd5e1b561c8015c555d364685a2c514266349a3182975a","observation_id":"ec41d8a5-0f12-4ed7-a672-4fdc1284571a","resolution":{"observed_at":"2026-08-08T01:03:22.208410Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.10519","last_updated":"2025-07-14T17:43:30Z","snapshot_observed_at":"2026-08-19T19:01:21.743588Z","submitted_at":"2025-07-14T17:43:30Z","title":"A Classification of Transversal Clifford Gates for Qubit Stabilizer Codes","version":1},"cited_work":{"arxiv_id":"2507.10519","doi":null,"metadata_source":"pith","pith_arxiv_id":"2507.10519","snapshot_observed_at":"2026-08-08T01:03:24.183415Z","title":"A Classification of Transversal Clifford Gates for Qubit Stabilizer Codes","venue":"quant-ph","work_id":"0ae80cfe-864c-4239-bec7-d894d21f38e6","year":2025},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.211419Z"},"links":{"cited_paper":"/paper/2507.10519","citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:ff810f51c36038a0007818526b6c556d83a57c3f2a9bd792ea8a8b9688ff909e","observation_id":"5ec91447-0fb8-44e1-bad7-73d764725e48","resolution":{"observed_at":"2026-08-08T01:03:24.187123Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.19790","last_updated":"2025-03-25T15:55:12Z","snapshot_observed_at":"2026-08-17T07:14:00.927625Z","submitted_at":"2025-03-25T15:55:12Z","title":"Clifford gates with logical transversality for self-dual CSS codes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.19790","snapshot_observed_at":"2026-08-08T01:03:22.215204Z","title":"Tansuwannont, Y","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.215204Z"},"links":{"cited_paper":"/paper/2503.19790","citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:b764a307450128f3e65d3cd20da837d6ef1a9acecf935263310cf85af7c4fee9","observation_id":"10912460-3473-401d-86b0-33d8234f5a5f","resolution":{"observed_at":"2026-08-08T01:03:22.215204Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.218942Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.218942Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:389bf4c86503f0c7174a6ff316c8ca64cdbaff1ee6e7092f68157806fb6cf4ad","observation_id":"d283c2f0-da34-4084-8cf9-eb6b3a81ee63","resolution":{"observed_at":"2026-08-08T01:03:22.218942Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.222052Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.222052Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:249bd3efb94d85b1a394a0eeadd55d8b1c266572087fd36cac791bc07faf9006","observation_id":"dd14a785-80a1-4964-b5e3-dd911a5f2069","resolution":{"observed_at":"2026-08-08T01:03:22.222052Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.225538Z","title":"Camps-Moreno, H","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.225538Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:37e442bd77b0d147846bb76ac64ffb8c3589b64e0aba0f318d2175b0eb251a99","observation_id":"5dd98d76-7734-4dda-b33c-bf97e72826fa","resolution":{"observed_at":"2026-08-08T01:03:22.225538Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/ptep/ptag133","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.794665Z","title":null,"venue":null,"work_id":"963ce7b4-3d7b-4a8e-b728-85a205ab8a40","year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.228861Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:eea7314a6b7593f623504dc9067292d534e8933ab916280513463ff72ed904a3","observation_id":"c0843e8a-7536-4112-9eeb-d349e3944dd8","resolution":{"observed_at":"2026-08-08T01:03:22.798066Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.232354Z","title":"Eastin and E","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.232354Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:c7d8c9ffe56f3b70e3bb488dc9ed3faa557a9d6eaed1ebadaa784238dd576208","observation_id":"d760bb5c-58e4-4695-9ecb-707746012a5a","resolution":{"observed_at":"2026-08-08T01:03:22.232354Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.238795Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.238795Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:fa63f11608a1868b947248854c3910f99a583e9a2129178b2b19240c443b0b0a","observation_id":"07a2a58e-e70c-4d1b-a219-699fbd2edbe8","resolution":{"observed_at":"2026-08-08T01:03:22.238795Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.241907Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.241907Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:56cfde396f1ac1533567775162219bcf9c11cef1c6c951e0112831ea884b6310","observation_id":"43e1a7d4-0006-4ac9-b036-ebd52fc522c1","resolution":{"observed_at":"2026-08-08T01:03:22.241907Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.245024Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.245024Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:85383c3c030eece2854a3700696e9af842d08570dff5b115d51050e58e3861e1","observation_id":"29b3d10f-fe41-4be7-9f08-3690c9fa583d","resolution":{"observed_at":"2026-08-08T01:03:22.245024Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.248250Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.248250Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:7900abccd091b2dbbff58e927bdf1bdcc15861007921d6ec5d987ae4b1788e60","observation_id":"2f032cbb-9bce-4549-a077-3cb20f0f337e","resolution":{"observed_at":"2026-08-08T01:03:22.248250Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.251344Z","title":"Berthusen and E","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.251344Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:74fc66508df9eb37e6d60da0bddc0f970bedbfd3e627389c20d6f1e58df594a2","observation_id":"fd6f646d-8c56-4e44-9eac-3e6d6b00812d","resolution":{"observed_at":"2026-08-08T01:03:22.251344Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.254407Z","title":"Cao and B","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.254407Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:583bc89785b25d183f6b633cac5315af79f3b5932da32499b779d73599121fbb","observation_id":"e3855645-8638-40cb-bb1b-a66140b3dc08","resolution":{"observed_at":"2026-08-08T01:03:22.254407Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2607.28605","last_updated":"2026-07-30T17:55:34Z","snapshot_observed_at":"2026-08-16T16:19:13.639033Z","submitted_at":"2026-07-30T17:55:34Z","title":"Logical computation with canonical lifted product codes","version":1},"cited_work":{"arxiv_id":"2607.28605","doi":null,"metadata_source":"pith","pith_arxiv_id":"2607.28605","snapshot_observed_at":"2026-08-08T01:03:23.832031Z","title":"Logical computation with canonical lifted product codes","venue":"quant-ph","work_id":"84b746c2-47b9-4a9a-9a16-9bf1568b0454","year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.257538Z"},"links":{"cited_paper":"/paper/2607.28605","citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:2928854f0ef1e4a12b08edd9d293cbd00502f425c0b239b0b62c0945bc02d6f8","observation_id":"207280a4-a32a-4305-a7d4-55072954650c","resolution":{"observed_at":"2026-08-08T01:03:23.835964Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2607.27644","last_updated":"2026-07-30T03:55:43Z","snapshot_observed_at":"2026-08-17T04:41:23.546981Z","submitted_at":"2026-07-30T03:55:43Z","title":"Quantum LDPC codes with design rate 1/5 and good performance below 1000 physical qubits","version":1},"cited_work":{"arxiv_id":"2607.27644","doi":null,"metadata_source":"pith","pith_arxiv_id":"2607.27644","snapshot_observed_at":"2026-08-08T01:03:23.818384Z","title":"Quantum LDPC codes with design rate 1/5 and good performance below 1000 physical qubits","venue":"quant-ph","work_id":"09e86550-c8ef-4483-a3f5-41dece17806e","year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.261011Z"},"links":{"cited_paper":"/paper/2607.27644","citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:7a537ad28e16aa19f0643417a41015ba36dd3e75840fe7a5812c5cac6b357525","observation_id":"5013c59d-a49f-45c7-85b4-77c45027ba8d","resolution":{"observed_at":"2026-08-08T01:03:23.822010Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/y14y-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.773080Z","title":null,"venue":null,"work_id":"9c5b2657-2c33-47bb-8278-6c0cc72283d1","year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.264223Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:060e143c128ea9fd9b24183f9f1e139f6ae51028f11494080c7eb4d848d9c670","observation_id":"48285b15-7cec-4fab-b721-bf5c79514fa5","resolution":{"observed_at":"2026-08-08T01:03:22.776488Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.268142Z","title":"Tiew and N","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.268142Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:b0b055e518f40857fda633968942304ea4e1bcd82a70a710712a0dd96f14ade3","observation_id":"53d9d453-2217-453f-a239-51277fce68cc","resolution":{"observed_at":"2026-08-08T01:03:22.268142Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/wcxs-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.763243Z","title":null,"venue":null,"work_id":"1e08147a-c381-4bf8-9e15-ec8ae184157d","year":2025},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.271329Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:faa8ffed8bc814901599295cca37fca22a911decee68b6e4a6cea5f60ada53fe","observation_id":"c91da343-eb60-40a0-aa2c-319d601e329d","resolution":{"observed_at":"2026-08-08T01:03:22.766705Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.274803Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.274803Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:4da17aecfcb74d57471570878e591428e1ff21c3b0a5c2e401b1f9c670bc119c","observation_id":"d0b0fcb6-6eed-4da8-9c39-907c8770f685","resolution":{"observed_at":"2026-08-08T01:03:22.274803Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2510.07864","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:23.803988Z","title":"Gulshen and T","venue":null,"work_id":"e4478991-8781-4121-9fc8-3d75fa13fe69","year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.278137Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:b0ae917a3e979b0654f0bf83cde9f944ccea6195e716f60dd919b94b18e0173c","observation_id":"3ce495c1-892f-41f9-a557-fd88cba25577","resolution":{"observed_at":"2026-08-08T01:03:23.808781Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2606.13521","last_updated":"2026-06-11T16:12:02Z","snapshot_observed_at":"2026-08-19T00:54:21.500620Z","submitted_at":"2026-06-11T16:12:02Z","title":"Quantum Logic Codes: Complete Transversal Logical Clifford Instruction Sets for High-Rate Stabilizer Quantum Error Correcting Codes","version":1},"cited_work":{"arxiv_id":"2606.13521","doi":null,"metadata_source":"pith","pith_arxiv_id":"2606.13521","snapshot_observed_at":"2026-08-08T01:03:23.720441Z","title":"Quantum Logic Codes: Complete Transversal Logical Clifford Instruction Sets for High-Rate Stabilizer Quantum Error Correcting Codes","venue":"quant-ph","work_id":"7ea981de-5d14-44a3-b2d0-4495facc8be9","year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.281219Z"},"links":{"cited_paper":"/paper/2606.13521","citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:7c373cc04e40435d8d90654ab4a1803a36b530b8ffa9d17c5e517f1d84a32811","observation_id":"93d730f0-83a6-49b3-bb16-7fb456ac1fcc","resolution":{"observed_at":"2026-08-08T01:03:23.724198Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2607.02482","last_updated":"2026-07-02T17:49:54Z","snapshot_observed_at":"2026-08-16T09:06:10.474658Z","submitted_at":"2026-07-02T17:49:54Z","title":"Automated logical Clifford gadgets for heterogeneous architectures via chain maps","version":1},"cited_work":{"arxiv_id":"2607.02482","doi":null,"metadata_source":"pith","pith_arxiv_id":"2607.02482","snapshot_observed_at":"2026-08-08T01:03:23.706605Z","title":"Automated logical Clifford gadgets for heterogeneous architectures via chain maps","venue":"quant-ph","work_id":"0db9f8de-5ee0-4730-9cf3-79678c1f1dd9","year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.284307Z"},"links":{"cited_paper":"/paper/2607.02482","citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:05d805ba3ee37d471351dfaaec60f81938a5e8356a91e5befee77b30dd617406","observation_id":"01ec4860-c84e-4e83-b2b7-53348de7d14d","resolution":{"observed_at":"2026-08-08T01:03:23.710344Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.287163Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.287163Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:ef5bf88da110da24d26bc03282309a1f36a74838a6cdd06879c4d4479ac6b4b9","observation_id":"0cd24cf3-34cf-4397-af87-8c8427b4afef","resolution":{"observed_at":"2026-08-08T01:03:22.287163Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.289899Z","title":"Grassl and M","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.289899Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:28cc105bb31438e7980677ce669bb6984d3408dad0f0c9b38befe4005baa3fe0","observation_id":"7a0ef767-9400-4408-81bc-684edda1c4b3","resolution":{"observed_at":"2026-08-08T01:03:22.289899Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.292636Z","title":"Sayginel,autqec: Logical Clifford gates from code automorphisms, Software,https://github.com/ hsayginel/autqec(2024), Python library with a MAGMA interface; GPL-3.0","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.292636Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:1d90d6d3d95bb39d7635e4d1b19db5dcbc81ce86b98f5a885c25e7540f44cd8d","observation_id":"dc1779f5-a17d-4034-bd0f-a73fa76f54ea","resolution":{"observed_at":"2026-08-08T01:03:22.292636Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.295601Z","title":"Sayginel, S","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.295601Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:74dfcc20fed5fc9a177609ab1a9ad7b17c3ff992caf0b415e0e5d3974647e9c2","observation_id":"1bd5db52-ec60-417a-b3e8-73c8c595bcb1","resolution":{"observed_at":"2026-08-08T01:03:22.295601Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.04794","last_updated":"2025-08-06T18:10:37Z","snapshot_observed_at":"2026-08-20T04:54:14.116824Z","submitted_at":"2025-08-06T18:10:37Z","title":"Automorphism gadgets in homological product codes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.04794","snapshot_observed_at":"2026-08-08T01:03:22.299072Z","title":"Berthusen, M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.299072Z"},"links":{"cited_paper":"/paper/2508.04794","citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:629b3836747c301a590c324a228aa0676b8322271026c190216e6215fe0f62e3","observation_id":"307ce332-dc7f-4a0a-8f2e-efe0bbaac28b","resolution":{"observed_at":"2026-08-08T01:03:22.299072Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.302351Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.302351Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:f33815f82a3e730ae644068dac29187e2c0535f0b07d2363b225a4fc58d22cd4","observation_id":"e00dfdbd-ea03-4626-a684-c63cd74f35a2","resolution":{"observed_at":"2026-08-08T01:03:22.302351Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.305531Z","title":"Chen, M.-C","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.305531Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:144e841c374ebbd7c7bccde81feb3bb6c2dcd01ad2fb6bbc7cc60ce597eae1b9","observation_id":"863d88aa-501f-4404-b35e-7a07cec1690c","resolution":{"observed_at":"2026-08-08T01:03:22.305531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.308695Z","title":"Dehaene and B","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.308695Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:298289eb306dd7347491f532e5ec337c574528cfeeb93ac1ccfc603ad66c5fd0","observation_id":"7a5534c2-b5d2-4182-86a4-6de9571c001e","resolution":{"observed_at":"2026-08-08T01:03:22.308695Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.312195Z","title":"Rengaswamy, R","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.312195Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:a1a7fb2ecff6d29aa8e53417a162546ad174ef978b2442e9eb486a267686f322","observation_id":"7056909f-1ddf-453f-8c38-6461ad71e099","resolution":{"observed_at":"2026-08-08T01:03:22.312195Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.315466Z","title":"Rengaswamy, R","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.315466Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:cb26c56143ed2d50d0861f11f102b6a410563822a01073b52e1083540bcb9334","observation_id":"05174008-5a41-4590-9354-86a69a49d972","resolution":{"observed_at":"2026-08-08T01:03:22.315466Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.319049Z","title":"Liu, Y.-X","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.319049Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:3afbd6cba176a570f50f1b112c66ad0144e0d243814e78df588401ea14af3113","observation_id":"9fa9a785-4eec-4f5d-8620-194197636ae3","resolution":{"observed_at":"2026-08-08T01:03:22.319049Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.322608Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.322608Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:3965f7264335a94cf5c72b2c5951ae8ce43a302d2d375978fa6a34cac46295c6","observation_id":"0bc153fb-d165-4259-96ef-5220a5c188c8","resolution":{"observed_at":"2026-08-08T01:03:22.322608Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2607.26477","last_updated":"2026-07-29T05:09:15Z","snapshot_observed_at":"2026-08-19T22:08:26.539378Z","submitted_at":"2026-07-29T05:09:15Z","title":"Finding diagonal logical gates in CSS codes and circuits","version":1},"cited_work":{"arxiv_id":"2607.26477","doi":null,"metadata_source":"pith","pith_arxiv_id":"2607.26477","snapshot_observed_at":"2026-08-08T01:03:23.578873Z","title":"Finding diagonal logical gates in CSS codes and circuits","venue":"quant-ph","work_id":"cec6d307-2a36-4c95-904f-6fdb2cc11327","year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.326338Z"},"links":{"cited_paper":"/paper/2607.26477","citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:8f0baea314e4a8039294582ab2501fcfb24553d8697e7318674dcff6a1f5d04e","observation_id":"b6ae1dcf-c20c-4cbc-bc2c-0c32d87413fe","resolution":{"observed_at":"2026-08-08T01:03:23.582492Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.329917Z","title":"Artin,Geometric Algebra(Wiley, 1988)","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.329917Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:15be9f8e9c795aace7f72f5430976475ae64ab5ae5500ff786c13944d546a388","observation_id":"9790c739-8391-4b2c-ad43-4d05e945519b","resolution":{"observed_at":"2026-08-08T01:03:22.329917Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.333300Z","title":null,"venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.333300Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:741a96d8c678b1ede96d061807f4fd81e1c917021ff7d6cb6fcb8dc2e14f657d","observation_id":"fb0c122c-2217-4ed7-b331-1a1392d36fc6","resolution":{"observed_at":"2026-08-08T01:03:22.333300Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.336725Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.336725Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:9bb8a0ebf5fde320903a1fffde2d8024759e4038a744860a6ad54e32b4f58fe7","observation_id":"827445c6-9b2a-4b4e-ae5d-3835a095ca85","resolution":{"observed_at":"2026-08-08T01:03:22.336725Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.340272Z","title":"Grove,Classical Groups and Geometric Algebra (American Mathematical Society, 2001)","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.340272Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:111a45c46ce760de4d5b36ddf9ac97e9eb88e49ce9f86ec5fe384e594566e071","observation_id":"cf31dd27-5257-4e14-b6f6-0468cc8092fc","resolution":{"observed_at":"2026-08-08T01:03:22.340272Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.343614Z","title":"Malle and D","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.343614Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:5d5589fb23123ca063e925c7856b991aa7f4fc44e5ad7a3abb449fe575332991","observation_id":"6f79a974-9e19-4149-9758-f2709893c5b1","resolution":{"observed_at":"2026-08-08T01:03:22.343614Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.347047Z","title":"Bombin and M","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.347047Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:afa19c19e65f41fc09840591302c91b673037c9d6ca8726445b0c2519d42e91e","observation_id":"8be8eb82-232d-4296-9263-bf3672107755","resolution":{"observed_at":"2026-08-08T01:03:22.347047Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physrevb.75.075103","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Bombin and M","venue":"Physical Review B","work_id":"bcff1434-0f73-4360-bdab-6129a2dbeea5","year":2007},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.350624Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:25039554090fa3cec2365fc5cffa247577220e850d8415e6fd99dc7a3b04e4a0","observation_id":"2a6898ac-6be0-4ceb-b4de-d6323dc1d9c0","resolution":{"observed_at":"2026-08-08T01:03:22.728791Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2602.09788","last_updated":"2026-06-01T03:43:50Z","snapshot_observed_at":"2026-08-17T18:36:36.746458Z","submitted_at":"2026-02-10T13:49:00Z","title":"Construction of the full logical Clifford group for high-rate quantum Reed-Muller codes using only transversal and fold-transversal gates","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2602.09788","snapshot_observed_at":"2026-08-08T01:03:22.353959Z","title":"Tansuwannont, T","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.353959Z"},"links":{"cited_paper":"/paper/2602.09788","citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:28fd6d67b394b1c63aa7e1d5e7b87b93d6e8290e0b679266ddd92e7c32a48437","observation_id":"75d991d5-4834-4d8e-8533-7db1ef6d4916","resolution":{"observed_at":"2026-08-08T01:03:22.353959Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.10395","last_updated":"2025-07-14T15:37:12Z","snapshot_observed_at":"2026-08-13T14:22:53.821035Z","submitted_at":"2025-07-14T15:37:12Z","title":"Fault-Tolerant Quantum Error Correction for Constant-Excitation Stabilizer Codes under Coherent Noise","version":1},"cited_work":{"arxiv_id":"2507.10395","doi":null,"metadata_source":"pith","pith_arxiv_id":"2507.10395","snapshot_observed_at":"2026-08-08T01:03:23.557910Z","title":"Fault-Tolerant Quantum Error Correction for Constant-Excitation Stabilizer Codes under Coherent Noise","venue":"quant-ph","work_id":"709cabfa-f7b2-47cc-b466-caa8d130b1d8","year":2025},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.357530Z"},"links":{"cited_paper":"/paper/2507.10395","citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:f6eb20a95970819b52ca95776d4067c02dac3d6b0735369063df699d3759a114","observation_id":"82e9593a-aa1e-4e04-9c36-4e44deb89981","resolution":{"observed_at":"2026-08-08T01:03:23.561251Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2606.11484","last_updated":"2026-06-09T22:18:56Z","snapshot_observed_at":"2026-07-06T23:50:35.052764Z","submitted_at":"2026-06-09T22:18:56Z","title":"Handbook of Error-Correcting Codes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.11484","snapshot_observed_at":"2026-08-08T01:03:22.361261Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.361261Z"},"links":{"cited_paper":"/paper/2606.11484","citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:87fc1f20be1ccf0ca8b91890ee5d4d2027ed83e258e2b9ece7766e7b46747b63","observation_id":"5bc20fc8-2f81-4efd-aeea-a70861fd1e92","resolution":{"observed_at":"2026-08-08T01:03:22.361261Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2606.19482","last_updated":"2026-06-17T18:14:23Z","snapshot_observed_at":"2026-08-18T06:58:45.633238Z","submitted_at":"2026-06-17T18:14:23Z","title":"Nearest-neighbour gates are all you need: High-rate quantum low-density parity-check codes on a planar grid","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.19482","snapshot_observed_at":"2026-08-08T01:03:22.367849Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.367849Z"},"links":{"cited_paper":"/paper/2606.19482","citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:1725a48bc72f8428c919f4ce72d14385ff6449162db30ffe92e833bc438c349c","observation_id":"14ac3f8f-7ad1-43b7-be26-3fe69a044755","resolution":{"observed_at":"2026-08-08T01:03:22.367849Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2602.23307","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:23.527536Z","title":"Tiew and N","venue":null,"work_id":"de694418-78c2-4915-bb54-b3a508785c37","year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.371188Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:c74ffb562d7d84dacbb67c9d6aa51bfe6c33b64e8bd789fd9e8a48471aab646e","observation_id":"a2617a3d-22d9-4d65-8789-377ee4c2bb70","resolution":{"observed_at":"2026-08-08T01:03:23.532041Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.374476Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.374476Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:4e73d9b4a54b4b0891a00e53a7290e9098d2a4df2df4ebefd5b60b3337b9f4ee","observation_id":"1c33d18b-011f-45d7-96c3-9a234a81542c","resolution":{"observed_at":"2026-08-08T01:03:22.374476Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.380033Z","title":"Patel, I","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.380033Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:35735cc2dcd3e89104733cda3294f0e5cd02b4203c1ab0e74d69c7ef4fb16ccd","observation_id":"89b111b5-5708-4a3a-91e2-163e87929a04","resolution":{"observed_at":"2026-08-08T01:03:22.380033Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.382956Z","title":"Guyot and S","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.382956Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:b4197142bb351e3174894f714ecb445f69e28a3e2d700d2c64a6a658e937a7fe","observation_id":"925391d6-e976-4ccc-b777-ec7ec9e66223","resolution":{"observed_at":"2026-08-08T01:03:22.382956Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.385687Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.385687Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:600ae9fb8ccaf84058351dcdd4f542bace58e94fe7fe179e66702f375d5f6e9e","observation_id":"0d724f46-95d1-4a2b-8e9a-e7f626457122","resolution":{"observed_at":"2026-08-08T01:03:22.385687Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2607.21160","last_updated":"2026-07-23T10:42:57Z","snapshot_observed_at":"2026-08-16T13:32:24.732357Z","submitted_at":"2026-07-23T10:42:57Z","title":"Duality constrains optimal thresholds in quantum error correction","version":1},"cited_work":{"arxiv_id":"2607.21160","doi":null,"metadata_source":"pith","pith_arxiv_id":"2607.21160","snapshot_observed_at":"2026-08-08T01:03:23.381361Z","title":"Duality constrains optimal thresholds in quantum error correction","venue":"quant-ph","work_id":"ce5c67e5-5456-4d04-84c5-0a51e5d74396","year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.388581Z"},"links":{"cited_paper":"/paper/2607.21160","citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:9b95af36374124fbd96ab467aeecc3ff5042faca78a56f566cb46d8e590600c5","observation_id":"b77dc8b3-e67f-448d-99ef-1b234c61d2a8","resolution":{"observed_at":"2026-08-08T01:03:23.385166Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.391567Z","title":"Bravyi and D","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.391567Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:882290be103ecf6a8df3ea50cdc359c6b3f1c856edae5f6da8afb9925636e984","observation_id":"5eba24ae-caf8-4273-8b98-517b065c49c8","resolution":{"observed_at":"2026-08-08T01:03:22.391567Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2602.12831","last_updated":"2026-06-01T08:03:33Z","snapshot_observed_at":"2026-08-20T05:46:23.494964Z","submitted_at":"2026-02-13T11:35:11Z","title":"Optimized Compilation of Logical Clifford Circuits","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2602.12831","snapshot_observed_at":"2026-08-08T01:03:22.394547Z","title":"Popov, N","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.394547Z"},"links":{"cited_paper":"/paper/2602.12831","citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:f9fe39453fde0c4a3ac0224a56bf6340d03195afff57a45bcf590154a1a837a1","observation_id":"f3bfd2a3-6d19-4aba-ada0-05b2933be50b","resolution":{"observed_at":"2026-08-08T01:03:22.394547Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.17447","last_updated":"2025-01-29T07:11:15Z","snapshot_observed_at":"2026-08-19T04:03:23.570280Z","submitted_at":"2025-01-29T07:11:15Z","title":"Small Binary Stabilizer Subsystem Codes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.17447","snapshot_observed_at":"2026-08-08T01:03:22.397522Z","title":"Cross and D","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.397522Z"},"links":{"cited_paper":"/paper/2501.17447","citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:7d503cd9dbf63d44e729c32ffb6d2fd0ce1d46e9b4788eeb0c4f0cb760a5d723","observation_id":"6ecce461-5ca2-46d4-973d-2ae1dc7cd7f8","resolution":{"observed_at":"2026-08-08T01:03:22.397522Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.401600Z","title":"Cross, G","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.401600Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:728c670ea432f37e80d741fbd1c1bea4272d5a8e5e5eb93754943fb1173bdff5","observation_id":"83751721-3d85-4efe-8b76-934bcb376dbc","resolution":{"observed_at":"2026-08-08T01:03:22.401600Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1610.03507","last_updated":"2016-10-14T15:46:47Z","snapshot_observed_at":"2026-08-21T23:14:07.802502Z","submitted_at":"2016-10-11T20:05:49Z","title":"Quantum fault tolerance in small experiments","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1610.03507","snapshot_observed_at":"2026-08-08T01:03:22.404796Z","title":"Gottesman, Quantum fault tolerance in small exper- iments (2016), arXiv:1610.03507 [quant-ph]","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.404796Z"},"links":{"cited_paper":"/paper/1610.03507","citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:2f87ac67ea07dd4a12b526e4a972871975292440624e6fbdd2bf5e433fcfea56","observation_id":"ce6c65b1-4da1-4be3-b1e3-fb7e0c7858cc","resolution":{"observed_at":"2026-08-08T01:03:22.404796Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.408305Z","title":"Vasmer and A","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.408305Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:9b0b7d713cfb21ab7f35e36e533ac105edb770ae614f2500d74ec16b5d86abb9","observation_id":"48ebf1d4-16c6-49c9-8959-610fea755fa5","resolution":{"observed_at":"2026-08-08T01:03:22.408305Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.411643Z","title":"Bravyi, B","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.411643Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:bf971e64354b6c9d25ec7ab532bd0dce898892cc02e98b25a7950c2772ed7e99","observation_id":"2a763388-46f1-47ee-ad87-118ba7fb3abc","resolution":{"observed_at":"2026-08-08T01:03:22.411643Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.414820Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.414820Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:eb22b8d94f0d8ed3fe5287d6cd8b2eabefd161ae7a792d8f57ca00a1d8f69668","observation_id":"eb8a2092-42bf-4d6e-8231-6e3c88979353","resolution":{"observed_at":"2026-08-08T01:03:22.414820Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.417872Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.417872Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:cebd001c813aac816cde4469380b29ce56d9cac09122fb83490e1d994929eece","observation_id":"525264a5-b626-404e-929a-e2cad9e7fc8a","resolution":{"observed_at":"2026-08-08T01:03:22.417872Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.09951","last_updated":"2024-06-14T11:57:51Z","snapshot_observed_at":"2026-08-18T05:19:50.408036Z","submitted_at":"2024-06-14T11:57:51Z","title":"Genons, Double Covers and Fault-tolerant Clifford Gates","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.09951","snapshot_observed_at":"2026-08-08T01:03:22.420935Z","title":"Burton, E","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.420935Z"},"links":{"cited_paper":"/paper/2406.09951","citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:1c168fb3fb8ad937d9ffdd318e431b5d91187114a5c7836a35cda37e45a53d22","observation_id":"58e32412-4b0d-4ca3-a496-308d51b8a08c","resolution":{"observed_at":"2026-08-08T01:03:22.420935Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.424395Z","title":"Arf, Untersuchungen ¨ uber quadratische formen in k¨ orpern der charakteristik 2","venue":null,"work_id":null,"year":1941},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.424395Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:6e0a10326bdc47899b458ba20b9aeae5dc2fd3fd9997b5ce181e92cfb35b267e","observation_id":"48aead79-0220-440d-8f30-692b3c3f74b1","resolution":{"observed_at":"2026-08-08T01:03:22.424395Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.427901Z","title":null,"venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.427901Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:2b9db6fa86aa0f045c625a4caa4a80fed9dd3d7bad9fe539478417c9165d471a","observation_id":"cd5738c9-291a-4924-ac41-10a75201cb07","resolution":{"observed_at":"2026-08-08T01:03:22.427901Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2604.15111","last_updated":"2026-04-16T15:04:53Z","snapshot_observed_at":"2026-07-06T23:02:44.990811Z","submitted_at":"2026-04-16T15:04:53Z","title":"Constraints on phantom codes from automorphism group bounds","version":1},"cited_work":{"arxiv_id":"2604.15111","doi":null,"metadata_source":"pith","pith_arxiv_id":"2604.15111","snapshot_observed_at":"2026-08-08T01:03:23.334331Z","title":"Constraints on phantom codes from automorphism group bounds","venue":"quant-ph","work_id":"d71f9ce7-745b-44e3-bfa6-4b041c787500","year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.431036Z"},"links":{"cited_paper":"/paper/2604.15111","citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:6e60faa8d713781892fed00044c02c8a4a15e0fcc3d3102239b28c3bdc568649","observation_id":"0370b5a1-fdda-4259-9f99-b77784c49a6f","resolution":{"observed_at":"2026-08-08T01:03:23.338079Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.434405Z","title":"Bluvstein, H","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.434405Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:ed612d4d89387ca2b86c6a9d8138a22df32af43a27ca75b5524eee6bfa7ff34a","observation_id":"c9756c7a-3a3c-44d3-9f60-064abc43b00b","resolution":{"observed_at":"2026-08-08T01:03:22.434405Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.437675Z","title":"Patra and A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.437675Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:edced30e9e7e3ae411d2ba45fedce7b03608fca650db33330a8bb51a04bf0333","observation_id":"d428e441-d6a9-4812-a1d7-61a183217cd5","resolution":{"observed_at":"2026-08-08T01:03:22.437675Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.440808Z","title":"Bravyi, R","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.440808Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:c5be880c5d57f27341c1ed8290c576e397aa0070ed02052a438243586b52fb9c","observation_id":"aed35089-3332-4958-b685-8c690648c224","resolution":{"observed_at":"2026-08-08T01:03:22.440808Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.443939Z","title":"Bravyi, J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.443939Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:f61bd9e2d0ae9fb91bff0c988f79f35f6f2bd60507a4e625c41fe645b1a905d7","observation_id":"9f0cdfe8-459b-4c60-8254-0a51a966673e","resolution":{"observed_at":"2026-08-08T01:03:22.443939Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.447187Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.447187Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:9a7467db9cb65bdada57fa8e5a7e672a5ac3083ab4d40c36593e30bd93e6b8c0","observation_id":"e6b76422-3892-49dd-bc15-2179335a959e","resolution":{"observed_at":"2026-08-08T01:03:22.447187Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.450384Z","title":"Bombin and M","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.450384Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:d92280cb757b73f2975dcc4796771c670c9e994c33901cfb4593073286096c86","observation_id":"75cc1467-120e-4b1f-8f4c-3b5df90cf7ea","resolution":{"observed_at":"2026-08-08T01:03:22.450384Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.453849Z","title":"Bravyi and M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.453849Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:93f4df1be7a09e24b66ae3037ee8058b11fddd7135c8e129009e40306c2b59c9","observation_id":"8dfa8532-414d-44f7-ac57-b58f263358de","resolution":{"observed_at":"2026-08-08T01:03:22.453849Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.457564Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.457564Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:52177c19317f06e673f1888b55b8001c91e415552deb97944840817e29f1d079","observation_id":"a68c78f3-8651-444a-9c89-d511368b5d04","resolution":{"observed_at":"2026-08-08T01:03:22.457564Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.460643Z","title":"Zou and H.-K","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.460643Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:d5d69925fd596c6b394359f2dd3bf79e8909307e847ba3823bee3b6511275c24","observation_id":"c875bd6d-ab30-4b54-a3bb-1309eb022722","resolution":{"observed_at":"2026-08-08T01:03:22.460643Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.463777Z","title":"Bauer and S","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.463777Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:aaa78243c6307d0e71323e2d678600449f278332ecb3ed7543dcfc12769b2413","observation_id":"207fda7a-9208-463e-bce9-fabff3da80ef","resolution":{"observed_at":"2026-08-08T01:03:22.463777Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.467003Z","title":"Hostens, J","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.467003Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:2c5b8178e60f75bec086ad2ee3f1ca399df6cef6e11aadc15d7dda2052ea1508","observation_id":"25f25891-c4f4-4392-81d7-c8b9a203bc80","resolution":{"observed_at":"2026-08-08T01:03:22.467003Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.470212Z","title":"Van den Nest, Efficient classical simulations of quan- tum fourier transforms and normalizer circuits over abelian groups, Quantum Information and Computa- tion13, 1007–1037 (2013)","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.470212Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:acf97fe082e39cbe0311cec269077172e9dc2f0199acc6b92db48299daaf56f3","observation_id":"8697bce9-b855-481b-8033-4f8f622b7a5a","resolution":{"observed_at":"2026-08-08T01:03:22.470212Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.473455Z","title":"Bermejo-Vega and M","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.473455Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:fd12cd688dd459bd6aab147e05a27a78608faee467fcd1610fcf832472f40896","observation_id":"0e5589f8-f1f7-47cb-ac35-24fad3bfab80","resolution":{"observed_at":"2026-08-08T01:03:22.473455Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.476738Z","title":"Bermejo-Vega, C","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.476738Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:8aed42a828940afef167946ff0dee28f8289707e8179353d1f3964fb8cb8912e","observation_id":"3e15e0de-54ac-45de-b38e-0df13c762cf1","resolution":{"observed_at":"2026-08-08T01:03:22.476738Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.480402Z","title":"Moses, J","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.480402Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:25404c94331d399379ccece005e1374774fdbedc69c85b356820bba5b0ffd219","observation_id":"9b9122fb-c245-4f6b-9860-5f8f2ffd4cc3","resolution":{"observed_at":"2026-08-08T01:03:22.480402Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.483847Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.483847Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:69ddac0aec10ecf9c43e733c3e87b6fbb854f043caeccb5508b622e67a82cddf","observation_id":"8b2be432-cfc0-47f7-9f93-b4bd15976a3c","resolution":{"observed_at":"2026-08-08T01:03:22.483847Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.487198Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.487198Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:c88095eba735199df20ddb24e34a15ede90f06f7a319b44b78431fb2821a42c4","observation_id":"c8ee3c68-0a44-4e57-9fda-73761c85b8c5","resolution":{"observed_at":"2026-08-08T01:03:22.487198Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T01:03:22.490740Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":101,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.490740Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:958a5c635d28096680f91d35d1d71a97e5798e5754d2cbedffe8c8539c271873","observation_id":"fdda2487-677c-4bba-8177-aa1f0af1c038","resolution":{"observed_at":"2026-08-08T01:03:22.490740Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.05051","last_updated":"2020-08-12T01:01:27Z","snapshot_observed_at":"2026-08-15T15:38:07.576907Z","submitted_at":"2020-08-12T01:01:27Z","title":"Short Shor-style syndrome sequences","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.05051","snapshot_observed_at":"2026-08-08T01:03:22.493994Z","title":"Delfosse and B","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":102,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.493994Z"},"links":{"cited_paper":"/paper/2008.05051","citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:db689e0a1ce830fb9fc570a1722aafc353cb87d7a21682960d9b1d95a2dd20e3","observation_id":"df9f3c7f-9dbe-45f0-ad7f-68bb68eb089e","resolution":{"observed_at":"2026-08-08T01:03:22.493994Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physreva.110.012419","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Prabhu and B","venue":"Physical review. A/Physical review, A","work_id":"c290d504-6aa9-49b6-894c-a788682c2a0a","year":2024},"citing_paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes","version":1},"reference_index":103,"source":"pdf_text","source_observed_at":"2026-08-08T01:03:22.497806Z"},"links":{"citing_paper":"/paper/2608.05688"},"observation_digest":"sha256:0e50c6a3b8eb99bd222fe22d99f864ddf50d17d3d3c10eada1455c10c266713a","observation_id":"ff49027f-55bf-4a11-9b6a-42940a9f371c","resolution":{"observed_at":"2026-08-08T01:03:22.687661Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2608.05688","last_updated":"2026-08-06T07:28:20Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-17T17:53:02.607185Z","submitted_at":"2026-08-06T07:28:20Z","title":"Beyond transversality: structure of Clifford circuits for CSS codes"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":4,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":82,"verified_exact":14,"verified_fuzzy":0},"total_outbound_references":135},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 100 of 135 outbound references and 0 inbound Pith citation observations for arXiv:2608.05688."}