{"as_of":"2026-08-12T21:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a2fdd61e8515ba2c9a90b998b07a1f5f4dc1bd564470f9f6001870c0032901bb","coverage":[{"denominator":69,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":69,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T04:27:24.288177Z","state":"measured"},{"denominator":69,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":69,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2608.06703/citation-record","integrity":"/paper/2608.06703/integrity","json":"/paper/2608.06703/citation-record.json","paper":"/paper/2608.06703"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T04:27:24.027179Z","title":"2021 , biburl =","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.027179Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:c071847a7fa5073140dfdae750c2b9d05ad39517e292dc83b3abb1b9258116cd","observation_id":"2792c21b-7c31-48f8-9d1a-d1fab02aefdf","resolution":{"observed_at":"2026-08-11T04:27:24.027179Z","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":"2026-08-11T04:27:24.031445Z","title":"2024 , biburl =","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.031445Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:fa574720860295a6b7b77bb90b2cbdb33bb061b49ab62b445a920961fca82485","observation_id":"ed5c73fc-a57d-46ae-9caa-5e3d86a848b0","resolution":{"observed_at":"2026-08-11T04:27:24.031445Z","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":"2026-08-11T04:27:24.036282Z","title":"2025 , biburl =","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.036282Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:ebfaac6db6cc24e1cb170fe1a2b857d7553d50c0893ca385cd0dd0f9d7cd755a","observation_id":"7fdc03c2-52c9-4cd9-bc7f-a6249f0beb87","resolution":{"observed_at":"2026-08-11T04:27:24.036282Z","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":"2026-08-11T04:27:24.040487Z","title":"Electron","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.040487Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:287d571067eeffc3cbfeb8e4087790ed58f3c67fd0db86de72451fb59a7baa1d","observation_id":"3cb438a8-1f84-488b-a57c-a7866e1c15f7","resolution":{"observed_at":"2026-08-11T04:27:24.040487Z","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":"2026-08-11T04:27:24.044191Z","title":"Theory Comput","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.044191Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:aac5f2cb3f953934a3213ca4df61c8a804fe9560eeaf27cbf248a8553de0d966","observation_id":"06f3a84b-c38d-4fa7-9e92-b48b83424ac3","resolution":{"observed_at":"2026-08-11T04:27:24.044191Z","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":"2026-08-11T04:27:24.048343Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.048343Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:2e158ec7385e605a75aba73509fa2fc1a24b31f0cfe96e8e66053a66a94b5343","observation_id":"142325eb-037f-4aa1-91d3-684e9f796027","resolution":{"observed_at":"2026-08-11T04:27:24.048343Z","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":"2026-08-11T04:27:24.052169Z","title":"2025 , biburl =","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.052169Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:4ba9601fd1159bc3b48c762963f708155c31c5ed19149579ecb30118c8a94d9b","observation_id":"4238da95-7a47-47b1-84cf-e60150647971","resolution":{"observed_at":"2026-08-11T04:27:24.052169Z","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":"2026-08-11T04:27:24.055491Z","title":"CoRR , volume =","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.055491Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:33a60a21f0a2f34388a351fa28ee187d689121c9d5141a8acbd5c1df9c0167c7","observation_id":"313b803a-84e9-4718-bad5-f5797f452886","resolution":{"observed_at":"2026-08-11T04:27:24.055491Z","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":"2026-08-11T04:27:24.058887Z","title":"Learning shallow quantum circuits with many-qubit gates , booktitle =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.058887Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:e68d4f9889504db8f7676ce4042bcab14a180e3f77611a703afa17e93f3a20e8","observation_id":"bd738ea2-cfd0-488c-9b0d-2de9df29777e","resolution":{"observed_at":"2026-08-11T04:27:24.058887Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.15822","last_updated":"2026-05-20T09:36:40Z","snapshot_observed_at":"2026-08-02T04:26:24.885303Z","submitted_at":"2024-10-21T09:39:20Z","title":"Learning junta distributions, quantum junta states, and QAC$^0$ circuits","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.15822","snapshot_observed_at":"2026-08-11T04:27:24.062362Z","title":"2410.15822 , archivePrefix=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.062362Z"},"links":{"cited_paper":"/paper/2410.15822","citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:951a9781c8e9e30d6e2e7f6cb8d1c6ea466ecaa670f7a49b201c46053780f3e9","observation_id":"96a34073-7907-413c-9d76-6d6b5779ca8c","resolution":{"observed_at":"2026-08-11T04:27:24.062362Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2005.12169","last_updated":"2020-05-25T15:32:16Z","snapshot_observed_at":"2026-08-05T14:05:24.683662Z","submitted_at":"2020-05-25T15:32:16Z","title":"Depth-2 QAC circuits cannot simulate quantum parity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2005.12169","snapshot_observed_at":"2026-08-11T04:27:24.066469Z","title":"2005.12169 , archivePrefix=","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.066469Z"},"links":{"cited_paper":"/paper/2005.12169","citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:63a221ae4f31727b33930d61421dcde2e567f9349bb21c636b95cd963aecb314","observation_id":"bae83f32-4750-4b5a-8f5b-b35a9f2c981b","resolution":{"observed_at":"2026-08-11T04:27:24.066469Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.06433","last_updated":"2025-04-08T21:05:39Z","snapshot_observed_at":"2026-08-07T16:07:23.434820Z","submitted_at":"2025-04-08T21:05:39Z","title":"Tight bounds on depth-2 QAC-circuits computing parity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.06433","snapshot_observed_at":"2026-08-11T04:27:24.070049Z","title":"Fenner and Daniel Grier and Daniel Pad","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.070049Z"},"links":{"cited_paper":"/paper/2504.06433","citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:26f9b0c2155e5f1e6853fe999fea52fe721ecae69f139f2677697b492f542fd9","observation_id":"da8c2e8c-a7bb-41e7-9028-50cc3de9a09f","resolution":{"observed_at":"2026-08-11T04:27:24.070049Z","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":"2026-08-11T04:27:24.073908Z","title":"Fenner and Frederic Green and Steven Homer and Yong Zhang , title =","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.073908Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:0ba7dea4905575e1b56ecb3748eef77eccbb54cd32bce8f04eec225e2fd228ce","observation_id":"38c14962-aa5b-4384-aa39-db3d68313fc6","resolution":{"observed_at":"2026-08-11T04:27:24.073908Z","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":"2026-08-11T04:27:24.078324Z","title":"Quantum Inf","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.078324Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:a64715c1b482ab21986217f20a48f4b06bd60cc5313298bffb3eb91d8e188d81","observation_id":"e2c707a3-0c0d-43a7-9b05-62c62f9091b5","resolution":{"observed_at":"2026-08-11T04:27:24.078324Z","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":"2026-08-11T04:27:24.082133Z","title":"Browne and Elham Kashefi and Simon Perdrix , title =","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.082133Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:69e4d3b80ce4b5deea6aa817d30839ed2c08ed7ccef08432b567048b6b569613","observation_id":"a8baea1c-0f76-4aec-9fe6-9fc2aa65d9d4","resolution":{"observed_at":"2026-08-11T04:27:24.082133Z","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":"2026-08-11T04:27:24.085525Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.085525Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:66ff9fe5aa2c28d3e9ce1d31664b9a92cb06ac6c5e2ec2591c5ec9812b75f4c5","observation_id":"68517e75-ec27-4bc5-8e3c-645a1362c1f0","resolution":{"observed_at":"2026-08-11T04:27:24.085525Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0309163","last_updated":"2003-09-23T00:41:07Z","snapshot_observed_at":"2026-07-07T07:13:31.495335Z","submitted_at":"2003-09-23T00:41:07Z","title":"Implementing the fanout gate by a Hamiltonian","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0309163","snapshot_observed_at":"2026-08-11T04:27:24.088847Z","title":"Fenner , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.088847Z"},"links":{"cited_paper":"/paper/quant-ph/0309163","citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:24ceeeed37f8693b6199e407319ac6b7b9261b61b634d5c90b7b4f0c3fbabcf9","observation_id":"f70be941-67e9-41dd-b582-5f81694174b1","resolution":{"observed_at":"2026-08-11T04:27:24.088847Z","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":"2026-08-11T04:27:24.093015Z","title":null,"venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.093015Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:781dd059e617ae528865c847ddfc373d599c410f6057d2037de96df7c9ed47da","observation_id":"42dd914a-4d5c-44a1-a899-240fccaca93e","resolution":{"observed_at":"2026-08-11T04:27:24.093015Z","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":"2026-08-11T04:27:24.096624Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.096624Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:021de0338550634f603e7b5393fe97344f80a7b831c439eaff8a5a5d6c024546","observation_id":"68b2e285-4fac-4239-a27f-9ccf8e5ed6de","resolution":{"observed_at":"2026-08-11T04:27:24.096624Z","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":"2026-08-11T04:27:24.100362Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.100362Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:fab32d3a8852cc79857751c93899e8c3515bb60c1e42fec8891b0bab0c7218e5","observation_id":"f65b4f2f-1978-4aed-9fc4-dd176bcaf50e","resolution":{"observed_at":"2026-08-11T04:27:24.100362Z","resolver_source":null,"status":"parse_uncertain"},"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":"2026-08-11T04:27:24.104564Z","title":null,"venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.104564Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:3f1084fbdbf3a8bd624e9d5f89ef11c9a9d3db45fce4849eaa62cdb26461e53f","observation_id":"c2764fe8-0208-4a44-852a-dc7507754605","resolution":{"observed_at":"2026-08-11T04:27:24.104564Z","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":"2026-08-11T04:27:24.108534Z","title":"An entropy proof of the switching lemma and tight bounds on the decision-tree size of","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.108534Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:7c69ddd856ccea0d589ae64bdf36375868d4a32e0e6a9041f1090177864967ed","observation_id":"372e97d0-d4aa-42fc-960b-47c1527be259","resolution":{"observed_at":"2026-08-11T04:27:24.108534Z","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":"2026-08-11T04:27:24.112327Z","title":"Furst and James B","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.112327Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:1a4b512bcb7400173ef9e094201ab76ce15c5f873b52a08a656c06ebc60354a4","observation_id":"50171022-aca8-43ed-b0e9-634a8f9d59da","resolution":{"observed_at":"2026-08-11T04:27:24.112327Z","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":"2026-08-11T04:27:24.116142Z","title":"Annals of Pure and Applied Logic , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.116142Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:41ec8b60bd9a7d87109c859d7312f4e60b2b4aff45fe6ee63ef856802d25f554","observation_id":"9633a909-0191-4fa3-be5b-dcd197c0a8b8","resolution":{"observed_at":"2026-08-11T04:27:24.116142Z","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":"2026-08-11T04:27:24.120190Z","title":"Separating the Polynomial-Time Hierarchy by Oracles (Preliminary Version) , booktitle =","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.120190Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:8ccd16eb173adcfbf7770c452bf57447739cb365ba3d3ffa9576894f5038f2a1","observation_id":"697973e0-5541-4eff-91af-68697940dc2c","resolution":{"observed_at":"2026-08-11T04:27:24.120190Z","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":"2026-08-11T04:27:24.123830Z","title":"1994 , institution=","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.123830Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:51c72f8c42c3a48d341a6ea16a57fb9d45d64e6868659910e0580e85ab7f2e38","observation_id":"64163765-a5e6-4aca-be13-00d84739cb85","resolution":{"observed_at":"2026-08-11T04:27:24.123830Z","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":"2026-08-11T04:27:24.127598Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.127598Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:b6875eed5582b5f598cde8f7521c4cc4025494ad0bdc84326c9d8a849af31e27","observation_id":"384ba6d1-045d-4933-afde-20538a4cac77","resolution":{"observed_at":"2026-08-11T04:27:24.127598Z","resolver_source":null,"status":"parse_uncertain"},"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":"2026-08-11T04:27:24.131379Z","title":"2019 , biburl =","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.131379Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:e020b26dc9e096c848fb092367f1d6b0c787ee5ad62dc3a7e0668d19329c838c","observation_id":"00ee762f-bb85-4d6c-ab6e-f5b501b0ff9d","resolution":{"observed_at":"2026-08-11T04:27:24.131379Z","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":"2026-08-11T04:27:24.134987Z","title":"Mathematical Notes of the Academy of Sciences of the USSR , volume=","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.134987Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:426ea712c3dbd191e32470802d44fbe97b075058d45a3040b4364e2a302d4149","observation_id":"74b215ab-b812-452a-94ca-af3944f4e075","resolution":{"observed_at":"2026-08-11T04:27:24.134987Z","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":"2026-08-11T04:27:24.138907Z","title":"Proceedings of the nineteenth annual ACM symposium on Theory of computing , pages=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.138907Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:87e082fd8eec660871a0b1376aad4cfd27c41e1aba26eae9c3d501f6269c0d7c","observation_id":"7fc18bdd-d729-44f6-b426-8c2fac2071c4","resolution":{"observed_at":"2026-08-11T04:27:24.138907Z","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":"2026-08-11T04:27:24.142595Z","title":"and Tan, Li-Yang , title =","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.142595Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:0ded19dfc537301037f3d4a1bba956f010bdeb17baedc90d1724bc7efa6da362","observation_id":"00a2391f-6cff-42ae-9808-5df5e8f3b83a","resolution":{"observed_at":"2026-08-11T04:27:24.142595Z","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":"2026-08-11T04:27:24.146476Z","title":"2601.03243 , archivePrefix=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.146476Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:bb7484a771262dfaf76f27f327d8a8257e84c569fee386c26250d247719be768","observation_id":"35724169-1e9c-4acc-884b-5f2adbd2a881","resolution":{"observed_at":"2026-08-11T04:27:24.146476Z","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":"2026-08-11T04:27:24.150561Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.150561Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:c8ffeb8009bb70c031ca2f1305386cfd3ec168bc789ab06581c7dc1ba1015eba","observation_id":"fa869daa-6c53-4363-b685-55eed7efa23b","resolution":{"observed_at":"2026-08-11T04:27:24.150561Z","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":"2026-08-11T04:27:24.154425Z","title":"arXiv: Quantum Physics , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.154425Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:f6876808af539cff94cb040557b7ca38fff04868e13a921398bc1e2e01d07e96","observation_id":"eb7117c5-dd1e-4c3e-a7de-a15de8c20de3","resolution":{"observed_at":"2026-08-11T04:27:24.154425Z","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":"2026-08-11T04:27:24.158474Z","title":null,"venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.158474Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:e4fa09ca2381fef53d55b6f6c23cd8e942695f9046183b3b18ca065bbaead7bf","observation_id":"4700c8fa-419f-4f71-a33d-370aa982facd","resolution":{"observed_at":"2026-08-11T04:27:24.158474Z","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":"2026-08-11T04:27:24.162509Z","title":"2026 , eprint=","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.162509Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:bcb473ca1bb5c0a1723079d9a86f1adc2792dfd7fc9df9e48c01bd95ebde51e1","observation_id":"1b7a5a87-f1ea-48dd-a336-d3896ac57c8d","resolution":{"observed_at":"2026-08-11T04:27:24.162509Z","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":"2026-08-11T04:27:24.166295Z","title":"2026 , eprint=","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.166295Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:428dd8a373cc3a76c28887c3755754aaf0b059de94c7d4fd95d55dc73b200000","observation_id":"6cf688ef-c8b0-4a95-8f52-61d7f2bac48c","resolution":{"observed_at":"2026-08-11T04:27:24.166295Z","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":"2026-08-11T04:27:24.170318Z","title":"2013 , publisher=","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.170318Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:890542de9127a15defd8b77841104babe2b14011629b3bcc4b7f3a4e9b96542e","observation_id":"939b59af-4551-4d3b-8c74-a0947d62d5a2","resolution":{"observed_at":"2026-08-11T04:27:24.170318Z","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":"2026-08-11T04:27:24.174063Z","title":"Nature photonics , volume=","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.174063Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:5c68311c028950186ef7f6cea750dd72c3d2aa80c34947fb08eac3b5e87a3f1d","observation_id":"b1a3ccf2-ac94-4407-b893-7f922e03f4ac","resolution":{"observed_at":"2026-08-11T04:27:24.174063Z","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":"2026-08-11T04:27:24.177654Z","title":"New Journal of Physics , volume=","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.177654Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:10ceac1e73f90271dfa7e79299e73e8b9babe0077f0d0fb68da266e03671c05b","observation_id":"a103c8b7-17ab-4450-848e-2e621680eba6","resolution":{"observed_at":"2026-08-11T04:27:24.177654Z","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":"2026-08-11T04:27:24.181564Z","title":"Physical Review Letters , volume=","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.181564Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:4bd6b92cdebf86cea93fc9a7082d22c3549b772155fabad4a1bfdfd6d8f6ad28","observation_id":"a25b2b33-9e73-4ebe-abeb-9ce38746b53e","resolution":{"observed_at":"2026-08-11T04:27:24.181564Z","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":"2026-08-11T04:27:24.185321Z","title":"Nature , volume=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.185321Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:6acccfe2f3fb31c0be3b1c39dbe195233f8c23d068e14a6eb66b8f859a6cf28e","observation_id":"c3add448-f25c-475e-bb18-aa1ac3980125","resolution":{"observed_at":"2026-08-11T04:27:24.185321Z","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":"2026-08-11T04:27:24.189511Z","title":"Information Processing Letters , volume=","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.189511Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:2959d8f63b2b492ea6d4f8db59f6cd295d715681b342f1ba3909d2df5c7ad506","observation_id":"a2a5d1eb-7c8a-4701-91e1-8f9b85d47cd4","resolution":{"observed_at":"2026-08-11T04:27:24.189511Z","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":"2026-08-11T04:27:24.193180Z","title":"2006 , publisher=","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.193180Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:eef5d7ac898fba323ccba3b5efe2ff66577c96b67dcf75b9909666ef022d93f4","observation_id":"e0b2caf0-10f0-4045-9e21-c2488ea41ecc","resolution":{"observed_at":"2026-08-11T04:27:24.193180Z","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":"2026-08-11T04:27:24.196513Z","title":"2016 , publisher=","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.196513Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:20c7f84634fba4509c24e0cdf473cfa62574736b7ff23a14819d9fd96d055a32","observation_id":"847552bc-a997-4077-9147-a9b82dbaa601","resolution":{"observed_at":"2026-08-11T04:27:24.196513Z","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":"2026-08-11T04:27:24.200010Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.200010Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:8555d892f1504f4975df6f38abe5e0b8343bac423a9027eeab9339c6417ceb21","observation_id":"b6801515-f877-42f1-9e64-69c96e1a1d86","resolution":{"observed_at":"2026-08-11T04:27:24.200010Z","resolver_source":null,"status":"parse_uncertain"},"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":"2026-08-11T04:27:24.203727Z","title":"2017 , publisher=","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.203727Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:ae52f0a5cf4e01412f4a5c1c05f1026cbfe9ae94abc2b14d6437cb750fd0c254","observation_id":"3bfedc38-1c69-4426-b28b-ee852e336b02","resolution":{"observed_at":"2026-08-11T04:27:24.203727Z","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":"2026-08-11T04:27:24.207470Z","title":"SIAM Journal on Computing , volume=","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.207470Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:6ea85633cc5473d85dac4f0c6219ca3a90a0e35592a24a4276635e93011b1cac","observation_id":"dc7caf77-1a5e-423c-bfa9-85e60d5f141a","resolution":{"observed_at":"2026-08-11T04:27:24.207470Z","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":"2026-08-11T04:27:24.211169Z","title":"Journal of Computer and System Sciences , volume=","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.211169Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:562620f5131f585d75903bf7531b60d484c9178e6fb4850d2f1eeda892ed3984","observation_id":"d434eceb-4f2b-43a3-b3cf-75fd52ab5baf","resolution":{"observed_at":"2026-08-11T04:27:24.211169Z","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":"2026-08-11T04:27:24.214635Z","title":"Computational Complexity , volume=","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.214635Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:7da2df4b429c3fbd6296ff52259bcf34f1f61cdd0252b2591345831c26d1ff45","observation_id":"24cfe929-c545-4261-9ba1-ae6dd163efdb","resolution":{"observed_at":"2026-08-11T04:27:24.214635Z","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":"2026-08-11T04:27:24.218355Z","title":"SIAM Journal on Computing , volume=","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.218355Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:55e7e858c32a9de09c5af766145d2e11424a4521dc78a6d07e5807cca04e2a0c","observation_id":"ce551e9c-6dd7-4f1a-9a08-4d1ae90e4e87","resolution":{"observed_at":"2026-08-11T04:27:24.218355Z","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":"2026-08-11T04:27:24.221883Z","title":"Physics Physique Fizika , volume=","venue":null,"work_id":null,"year":1964},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.221883Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:19a4c8205e7fbce83d3337e09e589ad78c558e48998c78f219bcfc73cce884b4","observation_id":"4f400ae8-cd32-493e-933f-eea1e0f429d5","resolution":{"observed_at":"2026-08-11T04:27:24.221883Z","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":"2026-08-11T04:27:24.225426Z","title":"2009 , publisher=","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.225426Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:dea30e760f0b8b887522fa1bc1cfe9259722eb2aa707b9d84c9f06f59d92802d","observation_id":"0d1439a4-6163-48db-b5c7-a5da6acf2bdc","resolution":{"observed_at":"2026-08-11T04:27:24.225426Z","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":"2026-08-11T04:27:24.229114Z","title":"Quantum advantage with shallow circuits , volume=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.229114Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:708975617cb6a840f3ddd3f2f55d593f4d7471e09015dcb9a73607eb7f2b507e","observation_id":"ee9c2420-9784-4bb0-a5ff-1b516c46fce3","resolution":{"observed_at":"2026-08-11T04:27:24.229114Z","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":"2026-08-11T04:27:24.232968Z","title":"A theorem on probabilistic constant depth computations , booktitle =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.232968Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:e602e48968e9ede4e3cdc10320dea443405c23071a827899510ff8d09ea56d5a","observation_id":"da1dbe62-3d98-4604-84ed-04fcf83deb59","resolution":{"observed_at":"2026-08-11T04:27:24.232968Z","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":"2026-08-11T04:27:24.236641Z","title":"2026 , eprint=","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.236641Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:ece4abc85f6a7c2c43153b7b82d1db9b7c8ab31f0092be874ccf64025dfc98de","observation_id":"3a987ddc-1eab-4f7a-8c51-49a527ae9eaf","resolution":{"observed_at":"2026-08-11T04:27:24.236641Z","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":"2026-08-11T04:27:24.240282Z","title":"Physical review , volume=","venue":null,"work_id":null,"year":1954},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.240282Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:39bd59cffb9e38746aaeb41490593fc1a8ea9ae5ed3aecd3a64d920b0dcb0edf","observation_id":"dfb79b13-024d-4f4b-94cf-741c68985794","resolution":{"observed_at":"2026-08-11T04:27:24.240282Z","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":"2026-08-11T04:27:24.244269Z","title":"Reviews of Modern Physics , volume=","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.244269Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:4ade6f1bc9f967eaa6a87e68a582ba39e5a4cc088130a488756645944dd5a90d","observation_id":"8e837d5e-ed95-4e57-9113-91366f369128","resolution":{"observed_at":"2026-08-11T04:27:24.244269Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.07992","last_updated":"2026-05-04T04:37:47Z","snapshot_observed_at":"2026-07-06T12:08:42.933275Z","submitted_at":"2021-11-15T18:53:48Z","title":"Query and Depth Upper Bounds for Quantum Unitaries via Grover Search","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.07992","snapshot_observed_at":"2026-08-11T04:27:24.249385Z","title":"CoRR , volume =","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.249385Z"},"links":{"cited_paper":"/paper/2111.07992","citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:1a70593cbc26eb177d8554115aa75f756ab732e62aeab118fb840175aa2014fd","observation_id":"5d89f47b-52e2-41d2-9df1-63246e3d1472","resolution":{"observed_at":"2026-08-11T04:27:24.249385Z","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":"2026-08-11T04:27:24.254523Z","title":"PRX Quantum , volume =","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.254523Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:765a17db45e7798cb7794451803cd39a20f56005b7989794a36bf197a2f6b466","observation_id":"70387d3f-5d16-41ee-94da-fcdcf1c2faea","resolution":{"observed_at":"2026-08-11T04:27:24.254523Z","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":"2026-08-11T04:27:24.258332Z","title":"and Foxman, Ben and Girvin, Steven M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.258332Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:b461d901266d4a80db3b9f550c6599be911b5188aedb47cbe1c05ce09df12e96","observation_id":"c06d1d42-652a-4a20-aec0-938432f97dd8","resolution":{"observed_at":"2026-08-11T04:27:24.258332Z","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":"2026-08-11T04:27:24.262010Z","title":"8th Innovations in Theoretical Computer Science Conference (ITCS 2017) , pages =","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":62,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.262010Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:6ca86e441f729e2f541677ca38646c4f824b1ffc9af8aee0fff8011cdf9e393d","observation_id":"c3ab3c95-6240-4504-8c5d-b83322ecacea","resolution":{"observed_at":"2026-08-11T04:27:24.262010Z","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":"2026-08-11T04:27:24.265779Z","title":"q-means: A quantum algorithm for unsupervised machine learning , url =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.265779Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:cf6a9ae211f7b70594be75ec2ea6ee285c4ed7df2305fa7f76e7794519d46982","observation_id":"4fb2f16d-951a-40a6-a32b-0056c48f3176","resolution":{"observed_at":"2026-08-11T04:27:24.265779Z","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":"2026-08-11T04:27:24.269396Z","title":"and Watrous, J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":64,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.269396Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:a777364440ea9997ae0ef5df2571db06eeab1d5bc28e32d7227f4ce8a63a6af8","observation_id":"82b02904-c32c-4c89-a49c-2d5187a53b28","resolution":{"observed_at":"2026-08-11T04:27:24.269396Z","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":"2026-08-11T04:27:24.272928Z","title":"2011 , publisher=","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":65,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.272928Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:093a415189ddda7252a8179d213188aa38a4331f642e171e01c1fe565a1d1cac","observation_id":"ced5ae6b-fd63-4191-b877-562240e11181","resolution":{"observed_at":"2026-08-11T04:27:24.272928Z","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":"2026-08-11T04:27:24.276480Z","title":"Scientific reports , volume=","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":66,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.276480Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:d09c88c9b19905747a0aed950479f2e2edde168bff614fd6632cb075c37bb44c","observation_id":"32198618-b287-41be-8801-4f49b15e37fb","resolution":{"observed_at":"2026-08-11T04:27:24.276480Z","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":"2026-08-11T04:27:24.280783Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":67,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.280783Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:e914f342ce0d47ca4565edaec15689d44be952def1e87b4041b8c1776ccb97bb","observation_id":"471ca71a-5a40-4179-861a-2019956d5778","resolution":{"observed_at":"2026-08-11T04:27:24.280783Z","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":"2026-08-11T04:27:24.284538Z","title":"2026 , eprint=","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":68,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.284538Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:8405a5d53f3b539199ec48604b83c9e32bde8117f940f78b86b93bda3507a04b","observation_id":"4979b517-bfa6-42ae-aa6d-8d890a14dd15","resolution":{"observed_at":"2026-08-11T04:27:24.284538Z","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":"2026-08-11T04:27:24.288177Z","title":"2003 , eprint=","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout","version":2},"reference_index":69,"source":"arxiv_source","source_observed_at":"2026-08-11T04:27:24.288177Z"},"links":{"citing_paper":"/paper/2608.06703"},"observation_digest":"sha256:c162898dec0ca531cb2da0bcf21d35b957b6627aa74c01abba9dc34e4504f491","observation_id":"717764f3-ab69-4505-9e14-96269b7f3707","resolution":{"observed_at":"2026-08-11T04:27:24.288177Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2608.06703","last_updated":"2026-08-10T17:30:15Z","latest_version":2,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-12T21:18:02.978764Z","submitted_at":"2026-08-07T02:00:19Z","title":"Shor's algorithm requires Fanout"},"reference_resolution":{"displayed":69,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":3,"unresolved":66,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":69},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 69 of 69 outbound references and 0 inbound Pith citation observations for arXiv:2608.06703."}