{"as_of":"2026-08-15T22:19:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:59c143619b465320a096890a0ae526a96072062cd5b44260aa25a74174542806","coverage":[{"denominator":80,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":80,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T19:43:46.990545Z","state":"measured"},{"denominator":85,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":85,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T05:14:10.183086Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"arxiv_reference","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":0,"observed_at":"2026-08-05T02:28:24.338817Z","source":"arxiv_reference"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.16005","snapshot_observed_at":"2026-08-04T07:56:56.092030Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.23726","last_updated":"2026-07-24T18:37:52Z","snapshot_observed_at":"2026-08-15T15:18:32.894697Z","submitted_at":"2025-10-27T18:01:55Z","title":"Apparent Universal Behavior in Second Moments of Random Quantum Circuits","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-04T07:56:56.092030Z"},"links":{"cited_paper":"/paper/2506.16005","citing_paper":"/paper/2510.23726"},"observation_digest":"sha256:31510eda671f067f43a6f9904dcb16b2b6acf19497886de6424b3852a4a942ab","observation_id":"5aad5bd1-3326-453f-94b9-65912d89524f","resolution":{"observed_at":"2026-08-04T07:56:56.092030Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"cited_work":{"arxiv_id":"2506.16005","doi":"10.48550/arxiv.2506.16005","metadata_source":"arxiv_reference","pith_arxiv_id":"2506.16005","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"No-go theorems for sublinear-depth group designs,","venue":"ArXiv.org","work_id":"4bdfa9d2-1885-435b-b175-7e3b9791395c","year":2025},"citing_paper":{"arxiv_id":"2605.05518","last_updated":"2026-05-06T23:34:13Z","snapshot_observed_at":"2026-07-06T23:18:07.750358Z","submitted_at":"2026-05-06T23:34:13Z","title":"Classical shadows over symmetric spaces","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-08T16:08:50.102897Z"},"links":{"cited_paper":"/paper/2506.16005","citing_paper":"/paper/2605.05518"},"observation_digest":"sha256:1d6f67a34fc8fd3356e2f52c630644026279631f0b1603c3e05d6ebc96e25b38","observation_id":"63c7e9bf-63c0-40be-85b7-538ab35ce4b3","resolution":{"observed_at":"2026-05-11T18:21:09.992092Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"cited_work":{"arxiv_id":"2506.16005","doi":"10.48550/arxiv.2506.16005","metadata_source":"arxiv_reference","pith_arxiv_id":"2506.16005","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"No-go theorems for sublinear-depth group designs,","venue":"ArXiv.org","work_id":"4bdfa9d2-1885-435b-b175-7e3b9791395c","year":2025},"citing_paper":{"arxiv_id":"2606.09773","last_updated":"2026-06-08T17:33:15Z","snapshot_observed_at":"2026-08-12T16:07:02.361999Z","submitted_at":"2026-06-08T17:33:15Z","title":"From Pauli Strings to Quantum Dynamics: A Unified Characterization","version":1},"reference_index":229,"source":"pdf_text","source_observed_at":"2026-06-27T16:24:42.160089Z"},"links":{"cited_paper":"/paper/2506.16005","citing_paper":"/paper/2606.09773"},"observation_digest":"sha256:3e79ffe30c53eaf032de63b5a8be281a141b2f14de6f2f28eac4879962ad86a6","observation_id":"a5ab8641-b746-4b3f-a3d6-6cc512b48752","resolution":{"observed_at":"2026-07-03T01:37:31.138011Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"cited_work":{"arxiv_id":"2506.16005","doi":"10.48550/arxiv.2506.16005","metadata_source":"arxiv_reference","pith_arxiv_id":"2506.16005","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"No-go theorems for sublinear-depth group designs,","venue":"ArXiv.org","work_id":"4bdfa9d2-1885-435b-b175-7e3b9791395c","year":2025},"citing_paper":{"arxiv_id":"2606.27254","last_updated":"2026-06-25T16:37:29Z","snapshot_observed_at":"2026-08-15T12:57:54.297400Z","submitted_at":"2026-06-25T16:37:29Z","title":"Particle-preserving fermionic shadows with mode-independent sample complexity","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-06-26T04:10:51.410179Z"},"links":{"cited_paper":"/paper/2506.16005","citing_paper":"/paper/2606.27254"},"observation_digest":"sha256:6dd87069f57e8b17245f9fb3f647ee64c41c820b62f14b61dc1bfb9f3377b319","observation_id":"7d2af845-2ee5-4d48-be12-fa14c863834d","resolution":{"observed_at":"2026-06-26T05:39:00.075229Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.16005","snapshot_observed_at":"2026-08-14T05:14:10.183086Z","title":"No-go theorems for sublinear-depth group designs,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.13528","last_updated":"2026-08-13T17:46:20Z","snapshot_observed_at":"2026-08-15T22:18:02.764403Z","submitted_at":"2026-08-13T17:46:20Z","title":"Ambient unitaries don't enable shallow group designs","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T05:14:10.183086Z"},"links":{"cited_paper":"/paper/2506.16005","citing_paper":"/paper/2608.13528"},"observation_digest":"sha256:5f77314c7f03edd376ba25c134d4bd4fbbd8183796d7417ca4fda911ffd7cf4b","observation_id":"7ea76b7e-a286-4758-9d83-7ca8eaf41f0e","resolution":{"observed_at":"2026-08-14T05:14:10.183086Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2506.16005/citation-record","integrity":"/paper/2506.16005/integrity","json":"/paper/2506.16005/citation-record.json","paper":"/paper/2506.16005"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:48.226968Z","title":"We show in Appendix A that a matchgate-invariant state ex- ists fork= 2","venue":null,"work_id":"1b529723-3942-4e0d-8c71-5d8f82622161","year":null},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.685210Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:b0f200cd644708e7dfbe497222fa5ed979aeff3afeb4add6d72bc3e19e6553e0","observation_id":"1200aeb7-72cb-40a9-91e5-ce69778cbbaf","resolution":{"observed_at":"2026-08-15T19:43:48.231696Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:48.214765Z","title":null,"venue":null,"work_id":"808df8c5-f4b9-4d3f-822f-c1728662b271","year":null},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.690232Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:751e453586f2570d168f84a94fa21c7007beadbe08e4a178e7aa1c49f8420e73","observation_id":"8b160d99-cc60-4bea-a548-484b0bbf8529","resolution":{"observed_at":"2026-08-15T19:43:48.218333Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:48.203332Z","title":"Here, the state (1⊗Ω|Φ⟩), where|Φ⟩is the Bell state, is aG-invariant state inH⊗2","venue":null,"work_id":"9a4c6359-3eb1-4a21-9737-cd843b1b119c","year":null},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.694287Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:8ca45b3d4104f96546d0f1538be95c3d8a8bc78a19d61cce836bad9ddd6108fe","observation_id":"18d9cde6-4b15-49c9-b1d2-f7ada710a832","resolution":{"observed_at":"2026-08-15T19:43:48.207182Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:48.191793Z","title":"This is our first example of a group for which there is no invariant state atk= 2, ruling out the application of Theorem 1","venue":null,"work_id":"10762f35-1b86-4125-b49e-479bf45dbfe0","year":null},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.697993Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:98633502b4accc082e99e1585086700e223b20878f2fd91aa94fed3b2a72a4f4","observation_id":"fffb13c4-407d-46e6-a530-45171a4d6218","resolution":{"observed_at":"2026-08-15T19:43:48.195960Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:48.180284Z","title":"Here for the first time we have an invariant state atk= 1","venue":null,"work_id":"0e05a2e4-28d0-4fcf-83dd-0f1608f10463","year":null},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.701630Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:102398da2ba5213f7a057881d3e328e65ac77bb9cfed2567baeb5ab053fb1fe6","observation_id":"f3d8809e-2f0a-4421-88b1-5f7c3a1c04a2","resolution":{"observed_at":"2026-08-15T19:43:48.184204Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:48.169548Z","title":"non-local matchgate cir- cuits","venue":null,"work_id":"59132f78-8f06-4573-813b-6c1f3ab7054b","year":null},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.705447Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:0bbef43fbec66d4fd8be2fbc2570566d026b72fd1df8c390cc8f1785166ab1d3","observation_id":"eab2ed13-3263-4e98-b6b0-f412d1c39de4","resolution":{"observed_at":"2026-08-15T19:43:48.173177Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-15T19:43:46.709983Z","title":"Huang, R","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.709983Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:5d34c042c4b388263cfa885d8f209fb52d401459880f0db1c2180e56b2e7e0c1","observation_id":"c062fc48-525d-4c8a-8f0e-0d02ee1ce0ed","resolution":{"observed_at":"2026-08-15T19:43:46.709983Z","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":"2026-08-15T19:43:46.713536Z","title":"Knill, D","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.713536Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:d1ff1fce9ed6960338a27c92c76af072997a9e860501af0d6324a5e9be786a26","observation_id":"16075740-d480-4aca-ac8d-7b9c5e41e881","resolution":{"observed_at":"2026-08-15T19:43:46.713536Z","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":"2026-08-15T19:43:46.716873Z","title":"Elben, S","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.716873Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:c7c147601c620a6d30781a4b503b2658e5ae80bac168a353688e611fe0342b9f","observation_id":"7f7a6d18-fb2a-4057-9cc1-e69f83f045c4","resolution":{"observed_at":"2026-08-15T19:43:46.716873Z","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":"2026-08-15T19:43:46.720642Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.720642Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:9ef2b7a60272943c304a660a5c3d24111adfd4adb588eb14db989c1354e95404","observation_id":"3f7455e6-6f79-4e58-abb8-6d2b175cd2d1","resolution":{"observed_at":"2026-08-15T19:43:46.720642Z","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":"2026-08-15T19:43:46.724690Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.724690Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:48651dbdfe301c51d55c17bcf3b94e66fb4e98d7cfbd6a5454a53d1f0c35b2c2","observation_id":"693e74ef-d03c-4e0d-bef6-75e1ffc38c64","resolution":{"observed_at":"2026-08-15T19:43:46.724690Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.23481","last_updated":"2025-06-03T01:47:08Z","snapshot_observed_at":"2026-08-12T22:11:20.604274Z","submitted_at":"2024-10-30T22:15:39Z","title":"Real classical shadows","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.23481","snapshot_observed_at":"2026-08-15T19:43:46.728189Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.728189Z"},"links":{"cited_paper":"/paper/2410.23481","citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:e8c5d5e9b3722e5990c5dee84d122c18597f69e3a74a1ec91b1f4e34a985cd3e","observation_id":"11ff9c3a-097c-4b53-b444-59033995a7e2","resolution":{"observed_at":"2026-08-15T19:43:46.728189Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:48.132322Z","title":"Arute, K","venue":null,"work_id":"b47b6753-50a4-4ee7-8eb4-c2e682b43176","year":2019},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.732709Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:96c172796171515532878eb324643259e52acee283e06f4a5e24ee47b3a9bf9a","observation_id":"46f6096f-db2b-494d-a3e2-13dc017b55ef","resolution":{"observed_at":"2026-08-15T19:43:48.135899Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.19211","last_updated":"2024-04-30T02:22:52Z","snapshot_observed_at":"2026-08-14T08:55:24.345135Z","submitted_at":"2024-04-30T02:22:52Z","title":"Triply efficient shadow tomography","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.19211","snapshot_observed_at":"2026-08-15T19:43:46.736226Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.736226Z"},"links":{"cited_paper":"/paper/2404.19211","citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:5e20326382daa142c953bb5349ac6d56f380ed5b4979b3a4fad71eb628872ab1","observation_id":"697fd111-c22d-48c5-bf64-d8e2049b02f2","resolution":{"observed_at":"2026-08-15T19:43:46.736226Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2212.06084","last_updated":"2022-12-12T18:00:02Z","snapshot_observed_at":"2026-08-13T13:23:21.218459Z","submitted_at":"2022-12-12T18:00:02Z","title":"Hardware-efficient learning of quantum many-body states","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.06084","snapshot_observed_at":"2026-08-15T19:43:46.740321Z","title":"Van Kirk, J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.740321Z"},"links":{"cited_paper":"/paper/2212.06084","citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:4a956835e8b80899e718b10d72e695931cf30d849710e9647dd44e3350a4c4ef","observation_id":"fbb9a8ac-d89c-4385-926f-82c6ec6ebc29","resolution":{"observed_at":"2026-08-15T19:43:46.740321Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:48.120748Z","title":null,"venue":null,"work_id":"291d5a37-a289-481a-8143-2b2ff18a6738","year":2023},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.744182Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:f63fd2738a7c447fcfd12d188d2dc589a887683430c9abd4d3ba743b4e170ae9","observation_id":"ce4039a7-129f-4210-95d4-dee337bc9b88","resolution":{"observed_at":"2026-08-15T19:43:48.124629Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:48.109589Z","title":null,"venue":null,"work_id":"5cb6b962-477b-44a7-9668-2f37534ea484","year":2017},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.747629Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:5179bf995559116facef27696f1d22d7c84d415addb73e977aa839d067b62a2e","observation_id":"0f918fd5-c5e2-4a9c-aaf5-3de7d721babf","resolution":{"observed_at":"2026-08-15T19:43:48.113506Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-15T19:43:46.750901Z","title":"Nahum, S","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.750901Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:e40f0aa03054d6f2fc13e22efb1bbe6f3f28135586aa531c283eb76425185e48","observation_id":"6da5f5a6-9597-4d5c-95c2-e501633c1170","resolution":{"observed_at":"2026-08-15T19:43:46.750901Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:48.089957Z","title":"Hayden and J","venue":null,"work_id":"fcf91fca-94ce-4909-8cd6-800bddec5a36","year":2007},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.754553Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:a862fbeb0bc625856d37c079ea9e16a2134a62c52b006250211106a06ba4483a","observation_id":"20222081-d753-4c6d-a7fa-493538949ac8","resolution":{"observed_at":"2026-08-15T19:43:48.094233Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:48.078295Z","title":null,"venue":null,"work_id":"cdc4ccbf-5190-401d-afd9-36e28bc1ca38","year":2008},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.758141Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:e45d4ad973755a22e95ee73d12834ac2f70f7adee49588a21e912ce72f9e8266","observation_id":"aed705ba-3f54-4887-a894-1581465062ae","resolution":{"observed_at":"2026-08-15T19:43:48.082234Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-15T19:43:46.761908Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.761908Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:f337181b87cedfe1b516d867d3d13cc58f880127447466deeec48c599d7ca9e8","observation_id":"76a445b9-7866-4462-afb0-c217cfe3ddbb","resolution":{"observed_at":"2026-08-15T19:43:46.761908Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:48.057994Z","title":null,"venue":null,"work_id":"b28bdfe1-0856-454b-892a-334a9d1dd5ba","year":2009},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.765412Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:fbe0e6084e8601d00b3e9496e080e9ef4d8cf29b5f77655c18088f77c6e766c7","observation_id":"bb9c36e9-16e2-4ffa-b0ba-57699bae6228","resolution":{"observed_at":"2026-08-15T19:43:48.061826Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:48.047276Z","title":null,"venue":null,"work_id":"6a323ab5-d25a-467d-81b9-d766af52421d","year":2016},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.768654Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:c0e7f3f0c4c1c22ef5b265ab17f58c4b145418f8dbf182cc03b76fe6833a7ee0","observation_id":"93e793b8-1c53-4fe6-8ad3-f6568ab3da2f","resolution":{"observed_at":"2026-08-15T19:43:48.051030Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1905.12053","last_updated":"2019-05-28T19:58:19Z","snapshot_observed_at":"2026-08-14T16:24:55.893728Z","submitted_at":"2019-05-28T19:58:19Z","title":"Unitary designs from statistical mechanics in random quantum circuits","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1905.12053","snapshot_observed_at":"2026-08-15T19:43:46.772480Z","title":"Hunter-Jones, Unitary designs from statistical me- chanics in random quantum circuits, arXiv preprint arXiv:1905.12053 (2019)","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.772480Z"},"links":{"cited_paper":"/paper/1905.12053","citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:6194e2862fd5796c772add102c51630b255e06b7141be0c8093c50ca7663c53f","observation_id":"9bdf64ff-6678-49fa-9fe0-a88595a015fc","resolution":{"observed_at":"2026-08-15T19:43:46.772480Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:48.035152Z","title":null,"venue":null,"work_id":"05cb0a88-5a57-4274-b110-7ce13deea7d6","year":2022},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.776178Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:cbeee65d1af5693de37e2428f9177a9409df71961f79a0a1db9bcc48968d8a57","observation_id":"0f3b7ba1-1c51-4a06-9377-1eeafe1c46f5","resolution":{"observed_at":"2026-08-15T19:43:48.039328Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-15T19:43:46.779553Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.779553Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:11e6544ae35594d0b1024b68d8602c0652a8bd50104dcc85ff85b06c1fafc5d3","observation_id":"ba440950-928c-45bd-af0f-49360841317e","resolution":{"observed_at":"2026-08-15T19:43:46.779553Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.09335","last_updated":"2024-02-14T17:32:30Z","snapshot_observed_at":"2026-08-15T04:25:00.012439Z","submitted_at":"2024-02-14T17:32:30Z","title":"Efficient Unitary T-designs from Random Sums","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.09335","snapshot_observed_at":"2026-08-15T19:43:46.782991Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.782991Z"},"links":{"cited_paper":"/paper/2402.09335","citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:a891de67fae88e528f5db0d9024ae9e2491807bc36ca17eed11eb92545c3059d","observation_id":"54682a51-6455-4228-bd6d-41a550d9945f","resolution":{"observed_at":"2026-08-15T19:43:46.782991Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12647","last_updated":"2024-04-19T06:13:02Z","snapshot_observed_at":"2026-08-13T00:26:17.272670Z","submitted_at":"2024-04-19T06:13:02Z","title":"Simple constructions of linear-depth t-designs and pseudorandom unitaries","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.12647","snapshot_observed_at":"2026-08-15T19:43:46.786770Z","title":"Metger, A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.786770Z"},"links":{"cited_paper":"/paper/2404.12647","citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:961cad61f6e7fea43ca38cfb875622210d01ebbbc39825ee5fca3bb92652fe56","observation_id":"1ad538b9-3d09-49ef-b65a-460886a7147d","resolution":{"observed_at":"2026-08-15T19:43:46.786770Z","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":"2026-08-15T19:43:46.790496Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.790496Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:5dcf91b763ac2c9dec1eb2519919ab11787edbb8401868ad9eae0f5eaf7feace","observation_id":"3249078a-0ea8-4892-89c4-9b9b1c78bab5","resolution":{"observed_at":"2026-08-15T19:43:46.790496Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.07478","last_updated":"2024-12-02T16:47:22Z","snapshot_observed_at":"2026-08-12T23:45:20.226697Z","submitted_at":"2024-06-11T17:23:16Z","title":"Incompressibility and spectral gaps of random circuits","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.07478","snapshot_observed_at":"2026-08-15T19:43:46.793906Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.793906Z"},"links":{"cited_paper":"/paper/2406.07478","citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:bbf0f5ff9126e0213807e65deb6e82fb537960ff08cab29e636ab76dba24df3d","observation_id":"71546205-6aac-4c7d-a986-dbf2442d5956","resolution":{"observed_at":"2026-08-15T19:43:46.793906Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.07754","last_updated":"2025-01-04T09:19:23Z","snapshot_observed_at":"2026-08-13T19:30:38.006570Z","submitted_at":"2024-07-10T15:27:48Z","title":"Random unitaries in extremely low depth","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.07754","snapshot_observed_at":"2026-08-15T19:43:46.797621Z","title":"Schuster, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.797621Z"},"links":{"cited_paper":"/paper/2407.07754","citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:22d56b4e0cb83f2a0ba85e4cb079b376542cbe5760273d3e4fcd303032a72386","observation_id":"5be63a85-db29-43e4-82cc-4f584356a328","resolution":{"observed_at":"2026-08-15T19:43:46.797621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2208.08964","last_updated":"2024-07-25T07:55:17Z","snapshot_observed_at":"2026-08-15T15:31:50.142431Z","submitted_at":"2022-08-18T17:11:12Z","title":"Classical shadows of fermions with particle number symmetry","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2208.08964","snapshot_observed_at":"2026-08-15T19:43:46.801206Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.801206Z"},"links":{"cited_paper":"/paper/2208.08964","citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:d7a19e7b788a203859938582b3630358e8624f11f7b2976179c4022d7dbb8bdc","observation_id":"9afe2db5-899e-4b81-871c-0ba814e0c018","resolution":{"observed_at":"2026-08-15T19:43:46.801206Z","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":"2026-08-15T19:43:46.804794Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.804794Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:8dcf0fa1c91c28c39b1b03f4ac0c0467ff990ccd46e1575f8a595f81f35cc72f","observation_id":"2fe72136-05c7-45c9-8220-c63e13b53564","resolution":{"observed_at":"2026-08-15T19:43:46.804794Z","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":"2026-08-15T19:43:46.808152Z","title":"Miller, Z","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.808152Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:323d6275cbcb11c40cde5f02199e6e5179cd8ae75280c8f0e676f78815686341","observation_id":"65429f81-86a7-4893-8c6a-2e7bbdbe2d5d","resolution":{"observed_at":"2026-08-15T19:43:46.808152Z","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":"2026-08-15T19:43:46.811888Z","title":"Hashagen, S","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.811888Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:697f9724f0fb587eadf1563065d93ed83025e64305455b57b7106eeebcd6d6f0","observation_id":"f0e0ca06-3267-499e-a032-73cb269ca48e","resolution":{"observed_at":"2026-08-15T19:43:46.811888Z","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":"2026-08-15T19:43:46.815058Z","title":"Marvian, Restrictions on realizable unitary operations imposed by symmetry and locality, Nature Physics18, 283 (2022)","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.815058Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:c8acf4e35be27f6a0377df7ca765fbd72e833704058e2b507bbbe431d67d5e88","observation_id":"ecff1d43-754e-44e8-a6fb-12f3fca181cd","resolution":{"observed_at":"2026-08-15T19:43:46.815058Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:48.002935Z","title":null,"venue":null,"work_id":"faf39f67-62a8-4b50-a321-9c7122a2498a","year":2025},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.818665Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:3ad3134eeade3e20138e4c2086945d27d03fc4421c6f1487637493601b356009","observation_id":"8fdb48da-c092-4c69-b8ec-6a30408ab02e","resolution":{"observed_at":"2026-08-15T19:43:48.006644Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0108033","last_updated":"2001-08-08T16:02:19Z","snapshot_observed_at":"2026-07-07T07:06:27.199300Z","submitted_at":"2001-08-07T22:07:37Z","title":"Fermionic Linear Optics and Matchgates","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0108033","snapshot_observed_at":"2026-08-15T19:43:46.822189Z","title":"Knill, Fermionic linear optics and matchgates, arXiv preprint arXiv:quant-ph/0108033 (2001)","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.822189Z"},"links":{"cited_paper":"/paper/quant-ph/0108033","citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:b1d1c58f5495688f9ceb9b85981cd9fa39797fe1c75f0a49edfa75ce05f24b34","observation_id":"7e627584-8d16-4c99-a946-f005a7c61346","resolution":{"observed_at":"2026-08-15T19:43:46.822189Z","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":"2026-08-15T19:43:46.827831Z","title":"Jozsa and A","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.827831Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:37bc6b536ee399d152ae7165e0d41d4fe56da469cc6f61d83c1a861e763af101","observation_id":"52c2a24f-6c60-463c-86c6-b8788bb6845a","resolution":{"observed_at":"2026-08-15T19:43:46.827831Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.12263","last_updated":"2026-06-30T13:06:08Z","snapshot_observed_at":"2026-08-14T00:04:14.764749Z","submitted_at":"2025-04-16T17:21:34Z","title":"A complete theory of the Clifford commutant","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.12263","snapshot_observed_at":"2026-08-15T19:43:46.831396Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.831396Z"},"links":{"cited_paper":"/paper/2504.12263","citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:2449f3aab267f0fe8f5b99280a33247239920847dcd93b1438fcefda8041272d","observation_id":"d56e1c4d-a9a8-4e03-b22d-ca32ce596111","resolution":{"observed_at":"2026-08-15T19:43:46.831396Z","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":"2405.10264","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:47.419469Z","title":"García-Martín, P","venue":null,"work_id":"bcb2094d-77d9-415e-8156-303494f912d6","year":2024},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.835187Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:f7ce503a6b668553d560323435ae3378ba146eff0a4b181c5f46a62fc84c7aba","observation_id":"3b8f99f1-ceeb-48f3-8421-2631d0744a84","resolution":{"observed_at":"2026-08-15T19:43:47.424199Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2207.05713","last_updated":"2023-04-04T12:28:49Z","snapshot_observed_at":"2026-08-13T15:05:30.579593Z","submitted_at":"2022-07-12T17:37:04Z","title":"Linear programming with unitary-equivariant constraints","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2207.05713","snapshot_observed_at":"2026-08-15T19:43:46.838757Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.838757Z"},"links":{"cited_paper":"/paper/2207.05713","citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:59ff5e99d43aa60a71fcaaa0103aea33ba1a8324c1b7cca9e4c858995103965b","observation_id":"a2dd37a6-4830-4974-b8c9-a99cf14631fc","resolution":{"observed_at":"2026-08-15T19:43:46.838757Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.02252","last_updated":"2023-10-03T17:55:10Z","snapshot_observed_at":"2026-08-15T05:48:08.316409Z","submitted_at":"2023-10-03T17:55:10Z","title":"Gelfand-Tsetlin basis for partially transposed permutations, with applications to quantum information","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.02252","snapshot_observed_at":"2026-08-15T19:43:46.842867Z","title":"Grinko, A","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.842867Z"},"links":{"cited_paper":"/paper/2310.02252","citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:4ec8fa086e068339c26bee8aca8e5596756bcae0aa4fd550f7a11f1df04a7390","observation_id":"be9051af-c6e9-49b3-b792-d2dd88b32239","resolution":{"observed_at":"2026-08-15T19:43:46.842867Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.01613","last_updated":"2023-10-02T20:03:56Z","snapshot_observed_at":"2026-08-13T05:58:55.559373Z","submitted_at":"2023-10-02T20:03:56Z","title":"The mixed Schur transform: efficient quantum circuit and applications","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.01613","snapshot_observed_at":"2026-08-15T19:43:46.847135Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.847135Z"},"links":{"cited_paper":"/paper/2310.01613","citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:a1c73e431f839b1e775d30db817a5215a052ba53a1fb4c9a8cff9c9d34dff9b3","observation_id":"bdfe7fb6-d9f7-4481-9578-0be8a6d05f18","resolution":{"observed_at":"2026-08-15T19:43:46.847135Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.24212","last_updated":"2025-05-30T04:52:40Z","snapshot_observed_at":"2026-08-15T19:46:20.393077Z","submitted_at":"2025-05-30T04:52:40Z","title":"Optimal Haar random fermionic linear optics circuits","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.24212","snapshot_observed_at":"2026-08-15T19:43:46.851762Z","title":"Braccia, N","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.851762Z"},"links":{"cited_paper":"/paper/2505.24212","citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:998523a4bbe383804a08334d40050163dfac699589f102fae144981a8585c3ba","observation_id":"2ecbab76-67ea-4412-ad87-5d695d2b34d6","resolution":{"observed_at":"2026-08-15T19:43:46.851762Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.03836","last_updated":"2024-09-05T18:01:00Z","snapshot_observed_at":"2026-08-14T03:08:43.219920Z","submitted_at":"2024-09-05T18:01:00Z","title":"Unified Framework for Matchgate Classical Shadows","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.03836","snapshot_observed_at":"2026-08-15T19:43:46.856195Z","title":"Heyraud, H","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.856195Z"},"links":{"cited_paper":"/paper/2409.03836","citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:33e72aeca4247f4cbafe5488651a0ffa2d47d434b4de859ed5eba34b6f4d5cf4","observation_id":"776b209e-260a-42fc-932b-22d0166fa779","resolution":{"observed_at":"2026-08-15T19:43:46.856195Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.16500","last_updated":"2024-09-24T23:12:18Z","snapshot_observed_at":"2026-08-15T15:17:13.796371Z","submitted_at":"2024-09-24T23:12:18Z","title":"Random ensembles of symplectic and unitary states are indistinguishable","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.16500","snapshot_observed_at":"2026-08-15T19:43:46.859981Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.859981Z"},"links":{"cited_paper":"/paper/2409.16500","citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:f26d1dbcc1ced1c72335d3118dd3ce7758c18839cf8d6fd6cedbbe8d5afac51d","observation_id":"9ea6f809-5b2c-49b7-bfaf-3591dd8b9a0f","resolution":{"observed_at":"2026-08-15T19:43:46.859981Z","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":"2026-08-15T19:43:46.863831Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.863831Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:df2c0180ab95b368227da9b7000b4f159f3d2e910249dbfdfc20118690709c62","observation_id":"85cb85e4-3423-4e6c-a7d5-82d614f3c69a","resolution":{"observed_at":"2026-08-15T19:43:46.863831Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:47.977600Z","title":"Benenti and G","venue":null,"work_id":"90fe0380-ef0b-4618-94d9-67b37d41248d","year":2010},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.867267Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:e475c59476933532ff848452c42dface891cc7d11dbd22f3d5b03020809904b7","observation_id":"53280d4b-7749-49d1-abb8-bde2df65a5cd","resolution":{"observed_at":"2026-08-15T19:43:47.981002Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:47.966381Z","title":null,"venue":null,"work_id":"c0fc9837-f06e-4677-97d6-e0967ce2c5b5","year":2007},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.870670Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:467d06a349cffd820b9980a833e2f013467746d86771cdf36bdc3ac28cc35e48","observation_id":"5007349a-9657-41dd-83b4-bec81b85a088","resolution":{"observed_at":"2026-08-15T19:43:47.970260Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.11505","last_updated":"2023-10-17T18:04:43Z","snapshot_observed_at":"2026-08-13T05:47:22.434213Z","submitted_at":"2023-10-17T18:04:43Z","title":"Showcasing a Barren Plateau Theory Beyond the Dynamical Lie Algebra","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.11505","snapshot_observed_at":"2026-08-15T19:43:46.874917Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.874917Z"},"links":{"cited_paper":"/paper/2310.11505","citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:8db1e4dd7c6171f6421e5348e710cfad719125ae49a8732ee5e7a28957811946","observation_id":"0f7aaaeb-b937-49df-8ac9-0a59cd87b37f","resolution":{"observed_at":"2026-08-15T19:43:46.874917Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1609.08172","last_updated":"2016-09-26T20:08:43Z","snapshot_observed_at":"2026-08-14T21:38:05.523424Z","submitted_at":"2016-09-26T20:08:43Z","title":"The Clifford group fails gracefully to be a unitary 4-design","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1609.08172","snapshot_observed_at":"2026-08-15T19:43:46.878841Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.878841Z"},"links":{"cited_paper":"/paper/1609.08172","citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:2238c257878d74c9522a3c7c5fef1b43e8d64ee428a0046c98baa9c1832d0a8e","observation_id":"32bc8409-10f2-49b5-abaa-5a5b54af37fe","resolution":{"observed_at":"2026-08-15T19:43:46.878841Z","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":"2502.16404","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:47.315560Z","title":null,"venue":null,"work_id":"7a74a25c-e9b3-42d9-bded-b7bc6a2a2c73","year":2025},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.883103Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:7fc3c2700f45f9413f984419b2f27ea0a1851b305ffbfa2b860918b3f1dac083","observation_id":"84294456-2943-4edd-b025-a672cf5d6956","resolution":{"observed_at":"2026-08-15T19:43:47.321157Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.03469","last_updated":"2024-03-06T05:04:45Z","snapshot_observed_at":"2026-08-13T04:02:32.025036Z","submitted_at":"2024-03-06T05:04:45Z","title":"Exponential learning advantages with conjugate states and minimal quantum memory","version":1},"cited_work":{"arxiv_id":"2403.03469","doi":null,"metadata_source":"pith","pith_arxiv_id":"2403.03469","snapshot_observed_at":"2026-08-15T19:43:47.247426Z","title":"Exponential learning advantages with conjugate states and minimal quantum memory","venue":"quant-ph","work_id":"80cfd053-a511-4a30-8a69-b9af002d86cc","year":2024},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.886625Z"},"links":{"cited_paper":"/paper/2403.03469","citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:8505ca7921a5c8973bb345331d91d6fbe796e6c921d88184e377734aea6a2453","observation_id":"d9e2206e-6ce1-4ff8-8397-c003091d705c","resolution":{"observed_at":"2026-08-15T19:43:47.253441Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-15T19:43:46.890377Z","title":"Haah, Short remarks on shallow unitary circuits, arXiv preprint arXiv:2504.14005 (2025)","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.890377Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:3b6fb9a24adf13c3bbae97e598749919ca27749da3a59e2d2277294f1211c06d","observation_id":"5484768d-9c8c-46bf-a032-4a983d67f399","resolution":{"observed_at":"2026-08-15T19:43:46.890377Z","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":"2026-08-15T19:43:46.893909Z","title":"Webb, The clifford group forms a unitary 3-design, Quantum Information and Computation16, 1379 (2016)","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.893909Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:5792aff887b17de01d0b83db4123d431e4db281392aee07efdc0cc9cfb6872c9","observation_id":"822db843-337e-433a-ab37-6f1c879bc5f6","resolution":{"observed_at":"2026-08-15T19:43:46.893909Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:47.949073Z","title":"Bertoni, J","venue":null,"work_id":"4f0aa206-71ed-4a46-bbe8-6243fd874d22","year":2024},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.898180Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:c03cb205230389202bbddfb1c75d0a7e876d5b832962146a56b38627a62c326b","observation_id":"de06e833-2fe7-4a89-96c4-30a5fea4afa9","resolution":{"observed_at":"2026-08-15T19:43:47.952683Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.06013","last_updated":"2025-08-27T15:16:40Z","snapshot_observed_at":"2026-08-12T22:04:26.682424Z","submitted_at":"2024-11-08T23:35:56Z","title":"Real randomized measurements for analyzing properties of quantum states","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.06013","snapshot_observed_at":"2026-08-15T19:43:46.901760Z","title":"Liang, S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.901760Z"},"links":{"cited_paper":"/paper/2411.06013","citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:c358becbb016ce102a91fbcd848407bdb136a4c22ea6f1eb39451a91a527cc2a","observation_id":"90763d8b-c862-4d24-9918-dfac2d3da14f","resolution":{"observed_at":"2026-08-15T19:43:46.901760Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:47.937281Z","title":"Helsen, S","venue":null,"work_id":"12d560d7-05c8-415e-93eb-6076055196ec","year":2022},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.905909Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:11b59631fff2feef13797c2d5b7a8543e9134fb36e32768666428cef90891cdd","observation_id":"e50c549e-2d5c-4825-b69b-726e7fa260ac","resolution":{"observed_at":"2026-08-15T19:43:47.941197Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1310.2035","last_updated":"2018-03-14T10:09:02Z","snapshot_observed_at":"2026-08-14T23:59:49.048896Z","submitted_at":"2013-10-08T08:22:31Z","title":"A Survey of Quantum Property Testing","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1310.2035","snapshot_observed_at":"2026-08-15T19:43:46.909498Z","title":"Montanaro and R","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.909498Z"},"links":{"cited_paper":"/paper/1310.2035","citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:6b3a148b3c579c8a7c2e5b09defafd2bc42a36881fe5616c6e6f7c73607688f4","observation_id":"6f65bafa-a00b-4778-b97f-278fa0138f8a","resolution":{"observed_at":"2026-08-15T19:43:46.909498Z","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":"2026-08-15T19:43:46.913115Z","title":"Fulton and J","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.913115Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:56829c627678939a7c8f900c1ba3f8d4f8db6503e054a931291695053dd3ebda","observation_id":"fc36dc6e-e421-4933-8b0b-6d84aee1746f","resolution":{"observed_at":"2026-08-15T19:43:46.913115Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:47.920209Z","title":"Wiersema, E","venue":null,"work_id":"ced324b5-c7c1-49fb-839a-c83712cf1207","year":2024},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.916547Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:21bd8640e65ebdc61abdbe1917b74d90e5acc9f2d0cce7d64eae3a776d0bd02e","observation_id":"0b33ca96-fc38-4478-9222-5bf92831b468","resolution":{"observed_at":"2026-08-15T19:43:47.923956Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-15T19:43:46.920840Z","title":"Collins and P","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.920840Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:526d1cb5b93e684b5c38f3d09c48b04fedd8ff79bc78fca7c46434492a0a65ec","observation_id":"f197096e-0146-4aaa-9305-557645a581a1","resolution":{"observed_at":"2026-08-15T19:43:46.920840Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:47.902743Z","title":"Collins and S","venue":null,"work_id":"f585f61a-b6c5-4453-893f-3076ae53e2d8","year":2009},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.924485Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:9c32fa7ed186c4ddf62aa58b6eb2519162a5114f5be924e4afc923d82398630a","observation_id":"c8ff3654-5870-4017-8189-abb267697a0e","resolution":{"observed_at":"2026-08-15T19:43:47.906517Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2208.01688","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:47.155434Z","title":"Montealegre-Mora and D","venue":null,"work_id":"b7ca1378-f1ca-4d80-813d-d312421f8f94","year":2022},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.927956Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:dbabf1b101b7e39819ec9ddfa648b1812925de41113a6ba8cc37ea3222ba273b","observation_id":"53d78663-5974-4c79-a44e-b7b4552204f7","resolution":{"observed_at":"2026-08-15T19:43:47.161690Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:47.890641Z","title":"Zee,Group theory in a nutshell for physicists, Vol","venue":null,"work_id":"04d0b2e9-309f-42b8-91a4-b879abc5d278","year":2016},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.931331Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:776d4ad73ad06a5e271e2465a9175a6a68b9f7b71d3da0180dfea45f3d09b292","observation_id":"f231f51d-2a3f-4b7f-b359-04714254a733","resolution":{"observed_at":"2026-08-15T19:43:47.895897Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:47.880757Z","title":null,"venue":null,"work_id":"cddc104e-7a5c-4b4f-9282-ba61d8f0299e","year":null},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.935569Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:a7e056ea7f6f5ff29af419ec36a2adbb41816351721369ff4935203ee3f45ccb","observation_id":"543cdf7e-fa1a-4d5b-9638-ba16e65be9f6","resolution":{"observed_at":"2026-08-15T19:43:47.883963Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:47.870624Z","title":null,"venue":null,"work_id":"982bcc08-689b-4149-97f3-d7829efce6f0","year":null},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.939790Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:c7d76e748ad4cdb21a0b63471798ab2fcc6cebbd5ee1fc3d2013ca30297e63f5","observation_id":"78ac5f0b-f5fa-4e70-8e0b-8b6da38a0f6d","resolution":{"observed_at":"2026-08-15T19:43:47.874164Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:47.834204Z","title":null,"venue":null,"work_id":"67928f56-e309-4f95-a860-06e6724e6798","year":null},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.943967Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:d9dc14a4e0ec9efab8769f3204482fe20c664f3597a6d568becb4d1a0bcd0f50","observation_id":"4548a0f5-7e47-4056-99f5-50f8b7c6d615","resolution":{"observed_at":"2026-08-15T19:43:47.838026Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:47.823669Z","title":"So, one guessesEwith probabilityp(ΠE|U∼X) = Tr[ρ X ΠE], whereρX = (ϕ(k) X ⊗I anc)(ρ)","venue":null,"work_id":"632c2436-b769-47bc-acd0-1fbc57d18e18","year":null},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.948289Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:3c4750ed7d0e035b1a229f5e6b1cda880848befb7340b6e2e0ca7bf9df819bb2","observation_id":"378c20dc-d237-4532-a2d6-b9b047509645","resolution":{"observed_at":"2026-08-15T19:43:47.827336Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:47.813218Z","title":"projectivelyG-invariant","venue":null,"work_id":"3b62d545-cd07-45a3-b0e2-468c49d6a235","year":null},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.953051Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:1b7111b9d54194792f6370a151328faa87e85f701675602aece0aa1df4067475","observation_id":"a06abdf4-883c-4dfe-8c57-51c1b2dfda74","resolution":{"observed_at":"2026-08-15T19:43:47.816544Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:47.802507Z","title":"Consider any ensembleES N over elements of the formU= QN ℓ=1 exp(iθℓHℓ), where the generators are Paulis{Hℓ}ℓ⊂S⊂g","venue":null,"work_id":"23cdede5-0321-43e7-8b6f-621280dc5c7c","year":null},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.957290Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:aa93b1bb682dff5bd12b4a203b53f362d505996ad46b4f85033270746452e1df","observation_id":"3f5af7c4-8dd9-4395-82d6-affbcb9afe7c","resolution":{"observed_at":"2026-08-15T19:43:47.806184Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:47.792049Z","title":"(9) by evaluating Eq","venue":null,"work_id":"d0206c72-b8f2-42c3-b794-cea0eb2239b0","year":null},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.961533Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:89053a71921c02a0cc18f5d45bd61c551157a61f7d18570810709fac7030c71e","observation_id":"ea7fa755-dad8-4fb1-924f-000d7d81947f","resolution":{"observed_at":"2026-08-15T19:43:47.795295Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:47.781576Z","title":null,"venue":null,"work_id":"1bc7bbe5-2950-4f21-ab5a-7d2eef7b1652","year":null},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.965867Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:a936fd656f367330c0d6d49bd4c8c461b168cb4dd21458aab3295b9eae656cd9","observation_id":"66ec9efd-32e0-4aef-9243-69f4ce6bead5","resolution":{"observed_at":"2026-08-15T19:43:47.785201Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:47.770125Z","title":"Note that from Eq","venue":null,"work_id":"be15a002-2f18-4c57-bd88-7d759e64b41c","year":null},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.970810Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:3a193787816d23754467a4c4d1747e23c56cadda73debf6a50260e9e2b59f58a","observation_id":"ae54c899-7c00-48f0-aaf4-2d3889a0b818","resolution":{"observed_at":"2026-08-15T19:43:47.774243Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:47.757897Z","title":"Interestingly, and in contrast to the other groups we consider, we are here able to rule out sublinear-depth approximate designs only atk⩾8","venue":null,"work_id":"e5523490-839c-4e41-a705-654edcbac0bf","year":null},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.974521Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:3bc7182d1724ca4b06fcbeee0207b103cc0e5a6236c57b3d8f6040a14eeb0d31","observation_id":"c891f441-d969-4851-9b25-d92eb5fa6806","resolution":{"observed_at":"2026-08-15T19:43:47.762214Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:47.746509Z","title":"real”, “complex","venue":null,"work_id":"fb47f7ef-2c4c-4363-8444-b3ca3684dfc3","year":null},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.978587Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:2fd63115f6a74781bb8483997d36332d1afdf927a38648d60fdc68c78154441a","observation_id":"19993228-cfb4-42f7-b596-34fe1bc9cee6","resolution":{"observed_at":"2026-08-15T19:43:47.750364Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:47.735031Z","title":null,"venue":null,"work_id":"db2a5746-dadd-49e4-b9be-8d73e13374ec","year":null},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.982410Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:bc1fbf874340d8219498930e97f8bd1f43eecc9755420cebd8b8cc6d77fba00c","observation_id":"dd71f05d-74d1-43d2-b485-29ff2aa5d15a","resolution":{"observed_at":"2026-08-15T19:43:47.739214Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:47.724144Z","title":null,"venue":null,"work_id":"a5abc736-e8aa-40ca-8555-f712ba93e735","year":null},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.986424Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:f595f9c674ab155e8e1fd3f42c730e2b5d4e0bcffca82e76e0dd388f1ec82e2a","observation_id":"72c020c5-aae6-4d06-817f-d8aa27795281","resolution":{"observed_at":"2026-08-15T19:43:47.727658Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:43:47.713170Z","title":"HereχV = Tr◦RV :G→Cis thecharacterofV, i.e., the trace of the representing elementsR V :G→L(V)","venue":null,"work_id":"ac88efa6-e294-46f2-bd33-39b527ecec4b","year":null},"citing_paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-15T19:43:46.990545Z"},"links":{"citing_paper":"/paper/2506.16005"},"observation_digest":"sha256:3556647410e541616c575e2229c94c6e98ca3a8f3860672f5d7473f6ad221e75","observation_id":"af939288-a411-44c2-bc23-ccb295684a76","resolution":{"observed_at":"2026-08-15T19:43:47.716689Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.16005","last_updated":"2025-06-19T03:51:18Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-15T19:26:54.417223Z","submitted_at":"2025-06-19T03:51:18Z","title":"No-go theorems for sublinear-depth group designs"},"reference_resolution":{"displayed":80,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":55,"verified_exact":4,"verified_fuzzy":21},"total_outbound_references":80},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 80 of 80 outbound references and 5 inbound Pith citation observations for arXiv:2506.16005."}