{"as_of":"2026-08-09T23:20:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9de5d6c44a17108bbc6cecd12cf5aa1231351017b43a911239a2e380a01cf967","coverage":[{"denominator":54,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":54,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T06:00:12.349925Z","state":"measured"},{"denominator":54,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":54,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+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/2607.22088/citation-record","integrity":"/paper/2607.22088/integrity","json":"/paper/2607.22088/citation-record.json","paper":"/paper/2607.22088"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:00:06.970948Z","title":"Quantum computational advantage via 60-qubit 24-cycle random circuit sampling,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:06.970948Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:063c3d0b6edb6030c6d06a10556ec27cce06a89268f9e884b4b3ffc75dc8fd3b","observation_id":"35d4f028-ab97-4128-a835-27a5f7a7a7a7","resolution":{"observed_at":"2026-08-01T06:00:06.970948Z","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":"2026-08-01T06:00:07.127011Z","title":"Quantum computa- tional advantage via high-dimensional Gaussian boson sampling,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:07.127011Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:eda45381257950feea86126bcea7fe8ca6895a649872ff5a1d052c912cb52169","observation_id":"cd04ec96-d40d-4499-a430-865a2b7576c4","resolution":{"observed_at":"2026-08-01T06:00:07.127011Z","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":"2026-08-01T06:00:07.332490Z","title":"Quantum computational advantage with a programmable photonic processor,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:07.332490Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:6d8656199ebedef0c10510c630f371048c931cf50bad5b79b92dd0c883a97a4e","observation_id":"c10eb7a2-388e-43c0-931a-032979cbbac7","resolution":{"observed_at":"2026-08-01T06:00:07.332490Z","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":"2026-08-01T06:00:07.573172Z","title":"Strong quantum computational advantage using a superconducting quantum processor,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:07.573172Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:37f768bcadd414b4907f1d09a37980105ef8a960e4e3ce3664686b14d90195d1","observation_id":"2a127771-126c-4b13-aefd-4bb68408094c","resolution":{"observed_at":"2026-08-01T06:00:07.573172Z","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":"2026-08-01T06:00:07.650016Z","title":"Quantum computational advantage using photons,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:07.650016Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:e34d98a9e602bb353dc6820b0fa8fe10d8d978d9cf1865b9e65301e321339f1d","observation_id":"d07ce067-a943-49a9-8b7e-244fe90b26f5","resolution":{"observed_at":"2026-08-01T06:00:07.650016Z","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":"2026-08-01T06:00:07.761699Z","title":"Quantum supremacy using a programmable superconducting processor,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:07.761699Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:74c77d3fa351ef3622569c8fe86ac50fd75cf09eb6045d6ab66078aa5e074ea9","observation_id":"d12340f1-7907-484d-b2a2-2e00ba79a52b","resolution":{"observed_at":"2026-08-01T06:00:07.761699Z","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":"2026-08-01T06:00:07.861851Z","title":"Characterizing quantum supremacy in near-term devices,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:07.861851Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:936f71ce2bafe82a22e29a4a45f4156780199222bbef968d2e132fac3cfa9f2e","observation_id":"00b64da8-1aec-4880-a26e-c73de6db7d38","resolution":{"observed_at":"2026-08-01T06:00:07.861851Z","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":"2026-08-01T06:00:07.964773Z","title":"Quantum sampling problems, BosonSampling and quantum supremacy,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:07.964773Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:b4ef0d7e3b748ae7c7722093338840cc5bf83eb8532d46f6940ce906c921a248","observation_id":"df40565e-6319-42c8-adca-21c5df7687c9","resolution":{"observed_at":"2026-08-01T06:00:07.964773Z","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":"2026-08-01T06:00:08.067820Z","title":"Quantum supremacy, here we come,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:08.067820Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:c734b3566fe4610e092973c6632623f1730335a67eaa8150665648d2e6770943","observation_id":"0aff6024-e94c-48bd-be95-9085f2e46859","resolution":{"observed_at":"2026-08-01T06:00:08.067820Z","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":"2026-08-01T06:00:08.138711Z","title":"Establishing the quantum supremacy frontier with a 281 pflop/s simulation,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:08.138711Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:094a7b32e5f80e8da0d6ad6a0a419672a65956a0b467826d36b3f05470e059f2","observation_id":"6e6c643f-7c06-4224-a80e-625dc89b48c7","resolution":{"observed_at":"2026-08-01T06:00:08.138711Z","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":"2026-08-01T06:00:08.223166Z","title":"Quantum computational supremacy,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:08.223166Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:f54c7ece26d79a29515063541771a8ee92b4d8cdd23f1a776d553235b205a176","observation_id":"d12de270-5efd-49e9-9f18-afe740e62a93","resolution":{"observed_at":"2026-08-01T06:00:08.223166Z","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":"2026-08-01T06:00:08.309617Z","title":"Computational advantage of quantum random sampling,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:08.309617Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:c6b415fc590505aa3fa2c99096d256ef670247f6d3f05fb230136eb968d622ad","observation_id":"89aac79f-8055-4453-b2bd-f9f6afeef1f1","resolution":{"observed_at":"2026-08-01T06:00:08.309617Z","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":"2026-08-01T06:00:08.401118Z","title":"The computational complexity of linear optics,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:08.401118Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:0352ea5381c12107a939aece62bd3463bc86fd47d709e826bae8bf7e89498973","observation_id":"8b52c499-49db-4273-ae37-2e1c0718efac","resolution":{"observed_at":"2026-08-01T06:00:08.401118Z","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":"2026-08-01T06:00:08.489912Z","title":"Experimental boson sampling,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:08.489912Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:39b87e153de345ad7b6ce0caa4d0d9a260f3881407da0c676fbfdd01bd30070e","observation_id":"82b7b190-294f-46d7-be95-713a5c607a0d","resolution":{"observed_at":"2026-08-01T06:00:08.489912Z","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":"2026-08-01T06:00:08.588979Z","title":"Gaussian boson sampling,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:08.588979Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:81cac1d98a549b517708370a01f5abef676d6bd582ee67b14d840a60d46734ad","observation_id":"453c6742-cac7-4118-8c7f-a7abb8f81e7d","resolution":{"observed_at":"2026-08-01T06:00:08.588979Z","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":"2026-08-01T06:00:08.680857Z","title":"Photonic implementation of boson sampling: a review,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:08.680857Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:fc5d4014df408c20175a39bbe4eb2ec27f8a7c8a17dfda7d7c9e1a7553a47863","observation_id":"a96dd302-22db-4b17-b9c6-9117640a740b","resolution":{"observed_at":"2026-08-01T06:00:08.680857Z","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":"2026-08-01T06:00:08.771731Z","title":"Boson sampling on a photonic chip,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:08.771731Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:9ab13ce68cc838cb0b65401141183c00bb20287abc2c4c8a35c211b755db98e6","observation_id":"4a99fa85-878d-4b90-9fde-cc6fab3a944a","resolution":{"observed_at":"2026-08-01T06:00:08.771731Z","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":"2026-08-01T06:00:08.861273Z","title":"High-efficiency multiphoton boson sampling,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:08.861273Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:2957c792bd3f5c84ff186ff2e0f8c15ed49a91bc25225e97b1dd70afbda037a5","observation_id":"ac3744b2-5cc3-4546-afaa-7d631193d1e2","resolution":{"observed_at":"2026-08-01T06:00:08.861273Z","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":"2026-08-01T06:00:08.950253Z","title":"Boson sampling from a Gaussian state,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:08.950253Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:d882b234ec61cf11188b142c027863a644c8766ac06c754551db9a7ac3db9ab0","observation_id":"e491450e-f87f-489c-a4a9-6cbe72ca6f42","resolution":{"observed_at":"2026-08-01T06:00:08.950253Z","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":"2026-08-01T06:00:09.041943Z","title":"Experimental scattershot boson sampling,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:09.041943Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:46d61148059391233d28b7c052b176c01adec72c4f43b5ee07f1801ae85e7077","observation_id":"55fd71c3-6f62-4634-8310-57927104321c","resolution":{"observed_at":"2026-08-01T06:00:09.041943Z","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":"2026-08-01T06:00:09.136015Z","title":"An introduction to boson-sampling,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:09.136015Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:be7a9adadbf6c6ddcf17525008392aeb9461c591ed1a45fc2335b2bd17169681","observation_id":"49c3a594-0eb2-42e8-8a27-e6bc45aa94d5","resolution":{"observed_at":"2026-08-01T06:00:09.136015Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0809.0847","last_updated":"2009-01-04T17:11:53Z","snapshot_observed_at":"2026-08-09T09:34:36.264179Z","submitted_at":"2008-09-04T16:09:26Z","title":"Instantaneous Quantum Computation","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0809.0847","snapshot_observed_at":"2026-08-01T06:00:09.233496Z","title":"Temporally unstructured quantum computation,","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:09.233496Z"},"links":{"cited_paper":"/paper/0809.0847","citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:c6f2bfd4e5e08c67965a8b6a1c093863fc257f0237ad6ed954acf01a375fded8","observation_id":"f56a7ce5-1fe4-455a-8d23-3d7f821b8907","resolution":{"observed_at":"2026-08-01T06:00:09.233496Z","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":"2026-08-01T06:00:09.305917Z","title":"Classical simulation of commuting quantum computations implies collapse of the polynomial hierarchy,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:09.305917Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:cf13ea3531b0482a0e024e21ff3551ebb87aec279fcce50d5c2b69d6d0820fa5","observation_id":"52413217-46b6-41f1-80ae-b801bb298755","resolution":{"observed_at":"2026-08-01T06:00:09.305917Z","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":"2026-08-01T06:00:09.428181Z","title":"Average-case complexity versus approximate simulation of commuting quantum computations,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:09.428181Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:e0c8fd07fadfe5a36c4e9dc0b91fc89283dd0eade010a6cf50ef221fe337ea73","observation_id":"b645e3d4-4baf-4e16-9379-4899beb41a60","resolution":{"observed_at":"2026-08-01T06:00:09.428181Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1610.01808","last_updated":"2017-04-21T12:50:01Z","snapshot_observed_at":"2026-08-07T16:53:41.094753Z","submitted_at":"2016-10-06T10:38:52Z","title":"Achieving quantum supremacy with sparse and noisy commuting quantum computations","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1610.01808","snapshot_observed_at":"2026-08-01T06:00:09.601823Z","title":"Achieving quantum supremacy with sparse and noisy commuting quantum computations,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:09.601823Z"},"links":{"cited_paper":"/paper/1610.01808","citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:66e6176740d89791fffd3e6899c1f6c8d7ee3fc404fa08d29eb65e25fa2c9c61","observation_id":"2af851eb-5f77-41d3-955f-41adf41a6ccd","resolution":{"observed_at":"2026-08-01T06:00:09.601823Z","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":"2026-08-01T06:00:09.687045Z","title":"Instantaneous quantum polynomial-time sampling and verifiable quantum advantage: Stabilizer scheme and classical security,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:09.687045Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:2360293c62d3d21b8e7223cc5242513da7bd6683f5280bf450d66cf502750b85","observation_id":"7d62186e-e0c2-4095-84b5-7939f8aa3609","resolution":{"observed_at":"2026-08-01T06:00:09.687045Z","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":"2026-08-01T06:00:09.791941Z","title":"Boundaries of quantum supremacy via random circuit sampling,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:09.791941Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:21409ada0631934c4e3bc54a45a82792231d34fc6305e70c61d7cb465dcd77a1","observation_id":"03447226-266e-410f-b287-b2ee8d1ff1c3","resolution":{"observed_at":"2026-08-01T06:00:09.791941Z","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":"2026-08-01T06:00:09.890385Z","title":"On the complex- ity and verification of quantum random circuit sampling,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:09.890385Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:9001fb0aad0498cc035560a835f17088436536b624190226215633e1fee97bb5","observation_id":"ebb3ed4e-47e0-41c7-aacb-5c334c3a2e10","resolution":{"observed_at":"2026-08-01T06:00:09.890385Z","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":"2026-08-01T06:00:09.989709Z","title":"Solving graph problems using Gaussian boson sampling,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:09.989709Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:26fd1eec61b26ae9f285cfbe574fa42bcfb564d91c0d4714c3ba2b0156e8d837","observation_id":"aaba8bb8-f343-482a-acb1-9198ed2ab2f3","resolution":{"observed_at":"2026-08-01T06:00:09.989709Z","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":"2026-08-01T06:00:10.061626Z","title":"Using Gaussian boson sampling to find dense subgraphs,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:10.061626Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:f7bb0fd9450f8796421002c016d42c9529bad2e529ee482b55ed979393391d00","observation_id":"74530854-983a-4aed-a79d-d670061b3635","resolution":{"observed_at":"2026-08-01T06:00:10.061626Z","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":"2026-08-01T06:00:10.136132Z","title":"Gaussian boson sampling for perfect matchings of arbitrary graphs,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:10.136132Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:79671309e5376e7a0366fa4d712254e99ca90b2426a16ca1d15529b6cebee3cb","observation_id":"2ab79a49-0b6a-4b24-8677-b9bf3561984c","resolution":{"observed_at":"2026-08-01T06:00:10.136132Z","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":"2026-08-01T06:00:10.208270Z","title":"Toward scalable boson sampling with photon loss,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:10.208270Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:19f8bd4d303bb1ed120c8e31d1eee960fb4c9465b31cf9d876cd8bf9f41925f4","observation_id":"cf1b3225-ec99-4c6a-b912-b8547bce707d","resolution":{"observed_at":"2026-08-01T06:00:10.208270Z","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":"2026-08-01T06:00:10.292061Z","title":"Experimental validation of photonic boson sampling,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:10.292061Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:0cc2b16d9811ef3b0ff8d29a30c8b7092c6c2ebdde8064cad4703e149c9b7ad5","observation_id":"e3e3189c-7db0-4dc0-b04a-d5ee12bc9c60","resolution":{"observed_at":"2026-08-01T06:00:10.292061Z","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":"2026-08-01T06:00:10.397466Z","title":"Experimental Gaussian boson sampling,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:10.397466Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:de4fedebfbc685ea7387958a73640c0661cb524a58140c328131acecf712e55d","observation_id":"51510064-08da-4035-bab5-246c2bd42c26","resolution":{"observed_at":"2026-08-01T06:00:10.397466Z","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":"2026-08-01T06:00:10.469014Z","title":"Boson sampling with 20 input photons and a 60-mode interferometer in a10 14-dimensional Hilbert space,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:10.469014Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:46a84b04aa2abc3ce8745b5cfef6c1fc8da7a871a515101f30d03afb0ede06d5","observation_id":"22495d16-9975-42c4-82c2-e51f78dd6f6b","resolution":{"observed_at":"2026-08-01T06:00:10.469014Z","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":"2026-08-01T06:00:10.563825Z","title":"Boson sampling with single- photon Fock states from a bright solid-state source,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:10.563825Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:9f666547e1f09b6160baf30faedb58a950e1ee52c34607512660c4de3eb9b783","observation_id":"5f108b86-1452-4a31-a523-063fa438e730","resolution":{"observed_at":"2026-08-01T06:00:10.563825Z","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":"2026-08-01T06:00:10.638523Z","title":"Photonic boson sampling in a tunable circuit,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:10.638523Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:2ac34c207437b52b2b0d8dcbd30a4b894ca1e0802c7eaa601f6eaacba028d87c","observation_id":"c529e8b9-5b85-40b2-8a63-592d6cd6b0a7","resolution":{"observed_at":"2026-08-01T06:00:10.638523Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.00286","last_updated":"2025-03-19T17:42:13Z","snapshot_observed_at":"2026-07-06T16:55:25.413169Z","submitted_at":"2023-12-01T02:03:09Z","title":"Complexity-theoretic foundations of BosonSampling with a linear number of modes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.00286","snapshot_observed_at":"2026-08-01T06:00:10.741840Z","title":"Complexity-theoretic foundations of BosonSampling with a linear number of modes,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:10.741840Z"},"links":{"cited_paper":"/paper/2312.00286","citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:ccf78020106003ab6557f5a9c89053ba69ea755c9b46ab2eb723f97f0bd843bd","observation_id":"f64fe75e-59dd-49e0-9100-9d2b5f67f3a5","resolution":{"observed_at":"2026-08-01T06:00:10.741840Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2104.06423","last_updated":"2021-04-13T18:00:06Z","snapshot_observed_at":"2026-07-06T10:59:19.562425Z","submitted_at":"2021-04-13T18:00:06Z","title":"Permanent of random matrices from representation theory: moments, numerics, concentration, and comments on hardness of boson-sampling","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.06423","snapshot_observed_at":"2026-08-01T06:00:10.833197Z","title":"Permanent of random matrices from representation theory: moments, numerics, concentration, and comments on hardness of boson-sampling,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:10.833197Z"},"links":{"cited_paper":"/paper/2104.06423","citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:80fba93eaf1538ab2bfe1c2c416402f4ebd045df6ce5e4135acf5ebc65b91add","observation_id":"7ec60e14-15d8-491d-a847-68e6436c8685","resolution":{"observed_at":"2026-08-01T06:00:10.833197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2604.14323","last_updated":"2026-04-15T18:27:01Z","snapshot_observed_at":"2026-07-06T23:02:09.426599Z","submitted_at":"2026-04-15T18:27:01Z","title":"Boson sampling beyond the dilute regime: second moments and anti-concentration","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.14323","snapshot_observed_at":"2026-08-01T06:00:10.945520Z","title":"Boson sampling beyond the dilute regime: second moments and anti-concentration,","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:10.945520Z"},"links":{"cited_paper":"/paper/2604.14323","citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:7beb23085c96686a550a3631d893c40d3257e867f72c8c6145e2fc7009512383","observation_id":"e0676681-c684-4b75-862f-06292f2e6c3c","resolution":{"observed_at":"2026-08-01T06:00:10.945520Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2604.15258","last_updated":"2026-04-16T17:35:49Z","snapshot_observed_at":"2026-08-02T16:00:43.050811Z","submitted_at":"2026-04-16T17:35:49Z","title":"General framework for anticoncentration and linear cross-entropy benchmarking in photonic quantum advantage experiments","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.15258","snapshot_observed_at":"2026-08-01T06:00:11.054998Z","title":"General framework for anticoncentration and linear cross-entropy benchmarking in photonic quantum advantage experiments,","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:11.054998Z"},"links":{"cited_paper":"/paper/2604.15258","citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:137654e236666108bf25abd0f47962bcfe3cbc0ae498a8ab7fc770b93e2cd45e","observation_id":"d6ebcc83-1df8-4c64-b7ce-1552101379dd","resolution":{"observed_at":"2026-08-01T06:00:11.054998Z","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":"2026-08-01T06:00:11.164529Z","title":"Second moment of Hafnians in Gaussian boson sampling,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:11.164529Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:b6fc3173ac4482251e80c76ae77d8ca786f600935497cc6094da5a6511250e1b","observation_id":"e80c12ef-c65a-4907-bfe1-f954ce41ae6f","resolution":{"observed_at":"2026-08-01T06:00:11.164529Z","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":"2026-08-01T06:00:11.334554Z","title":"Transition of anticoncentration in Gaussian boson sampling,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:11.334554Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:9f47fa990db00458ef757f58553c8679bdfbc424acdba1461aa091188e65161f","observation_id":"1bbdeb3d-154e-452d-997a-f52651d0969e","resolution":{"observed_at":"2026-08-01T06:00:11.334554Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-3-319-51829-9","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Barvinok,Combinatorics and complexity of partition functions, ser","venue":"Algorithms and combinatorics","work_id":"e38aa4af-d72c-4134-bf7b-f7f15a3b5ae3","year":2016},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:11.437090Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:1b23d93b640fab9b9ac4d3e8f733f479831c08011ebd078de1318a92921afef9","observation_id":"f3d32ea0-6f89-4b43-9f26-31d263977bfb","resolution":{"observed_at":"2026-08-01T06:04:22.204277Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-01T06:00:11.529011Z","title":"On the permanent of random Bernoulli matrices,","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:11.529011Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:be5cc4934751b3a5b2dfb77e869392b5d6850e40a78f7f751a34abaf97b07659","observation_id":"a54653b0-2980-489d-acbd-bcd7406b7ef7","resolution":{"observed_at":"2026-08-01T06:00:11.529011Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00029-021-00730-6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"On the permanent of a random symmetric matrix,","venue":"Selecta Mathematica","work_id":"a1d31d2f-2b44-467d-90e6-a3b31ee3369a","year":2022},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:11.651921Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:3bec3057c6f200bb44e6f2ed5463976397917eba90e3e3dc9232e7fd6ae55c20","observation_id":"80c46e26-4f75-4103-9817-cae6b414c7d1","resolution":{"observed_at":"2026-08-01T06:04:22.001646Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-01T06:00:11.730043Z","title":"Exponential anticoncentration of the permanent,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:11.730043Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:c35f5e1985cc947c117986ab5dd9d1c7eeec6113e0623820782fdd903ca8ed0a","observation_id":"50c208b1-2ab7-4143-b4cd-557d20eaa521","resolution":{"observed_at":"2026-08-01T06:00:11.730043Z","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":"2026-08-01T06:00:11.810416Z","title":"Exponential improvements to the average-case hardness of BosonSampling,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:11.810416Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:16867346ade384abf920864cbb82b329781950c148d572fcb794763be71c4795","observation_id":"7348f5b4-c685-44ad-9f68-e66ccb9d9fe5","resolution":{"observed_at":"2026-08-01T06:00:11.810416Z","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":"2026-08-01T06:00:11.984313Z","title":"The complexity of computing the permanent,","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:11.984313Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:8884408f3494c780b946beb106a1a4f23a0e42574899f7ac9a07a963a4f73010","observation_id":"7cae1e84-b52b-4be4-90a6-ab812c0b147b","resolution":{"observed_at":"2026-08-01T06:00:11.984313Z","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":"2026-08-01T06:00:12.097394Z","title":"PP is as hard as the polynomial-time hierarchy,","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:12.097394Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:b63cc5ac6fdbc95817ac90eb52788199626c7b0438967437ccc554a50fecfdc4","observation_id":"b5a0ccf0-abe2-4aad-936c-638b07a5eeda","resolution":{"observed_at":"2026-08-01T06:00:12.097394Z","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":"2026-08-01T06:00:12.181781Z","title":"On a lemma of Littlewood and Offord,","venue":null,"work_id":null,"year":1945},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:12.181781Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:011a5fe08798677e7d814c91a5f34429929985fb09749bed09a6ed59f0f323e4","observation_id":"27704bd0-57bb-4f63-8921-47886fa0798b","resolution":{"observed_at":"2026-08-01T06:00:12.181781Z","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":"2026-08-01T06:00:12.269778Z","title":"On the method of bounded differences,","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:12.269778Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:11b615635f4dfc93ab208f83ed393ae6bb8efa324c3595a5b99f5dbc52711175","observation_id":"97b94d82-a871-4469-a8e6-6afcbe1e2402","resolution":{"observed_at":"2026-08-01T06:00:12.269778Z","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":"2026-08-01T06:00:12.349925Z","title":"Alon and J","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:12.349925Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:7102a80995d31814bad98260f68a58d7f3ce023c59a50dcf003a7fde7b2b2097","observation_id":"d984f8b9-4bcd-4bb2-8c28-798c2137afff","resolution":{"observed_at":"2026-08-01T06:00:12.349925Z","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":"2026-08-01T06:00:09.526872Z","title":"Available: https://link.aps.org/doi/10.1103/PhysRevLett","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling","version":1},"reference_index":2016,"source":"pdf_text","source_observed_at":"2026-08-01T06:00:09.526872Z"},"links":{"citing_paper":"/paper/2607.22088"},"observation_digest":"sha256:1fca9ebb1ff697cd1962ca262f6cf376168f4dab1d5b96955406ab53f8df1f75","observation_id":"f84f071a-a3f6-43aa-93f3-e7ff7bb96631","resolution":{"observed_at":"2026-08-01T06:00:09.526872Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.22088","last_updated":"2026-07-24T08:35:27Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-08T21:41:02.550859Z","submitted_at":"2026-07-24T08:35:27Z","title":"Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling"},"reference_resolution":{"displayed":54,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":51,"verified_exact":2,"verified_fuzzy":0},"total_outbound_references":54},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 0 inbound Pith citation observations for arXiv:2607.22088."}