Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T06:15:58.960490Z
Paper Citation Record · LEDGER
As of 9 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 1 inbound Pith citation observation for arXiv:2508.00983.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T06:15:58.960490Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T06:15:58.822047Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T06:15:59.003133Z
55 of 55 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 7666e9e8-f9ad-489b-b362-35697f418571 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Proof of Hiding Conjecture in Gaussian Boson Sampling
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 642c607d-6fc6-4c5d-9fff-05865ae4a55c · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling The behavior of these submatrices has been of interest in quantum conductance and transport problems [28, 29]
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a8c72762-3c36-4e27-a5bc-23d6975186e6 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 70fb6f8f-7116-42ab-83cd-22fec7dc439f · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Singular value bounds In this section we prove the lemmas used in the proof of Proposition 3.2
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 667b5f63-b400-4228-bf3d-c286632913d9 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Proof of Corollary 1.1 Let Z be a K×K matrix of i.i.d
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 27725e64-0929-4ed7-9d89-3f6df6292994 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling This forms a graph with the indices ( jk), (j′ k) as the vertices, and where indices in the same cycle must take the same value
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation ad89afc0-0a3f-445d-8285-5e860043a136 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Hangleiter and J
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 88a0eb6d-be72-4c23-bc03-19de9ed1120f · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Aaronson and A
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3c6ef960-daf5-4bc9-a754-ab00fde0e136 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Unresolved cited work
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dcb261f6-1ad6-4b13-bd1a-b9c783eba427 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Rahimi-Keshari, A
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e3e09738-a040-4f96-87d7-9279d4a67f5b · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Unresolved cited work
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 08336eed-b9bd-46ca-99e9-16fe3f3bea0b · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Kruse, C
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a3a05dd1-2452-43e2-8af3-25f581d44855 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Deshpande, A
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 04327b78-3836-467f-8c50-1defd5fe13cf · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Aaronson, A linear-optical proof that the permanent is #P-hard, Proc
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 87851f60-7810-4f33-939c-03c8ff407350 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Zhong, H
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8c54737e-61cf-4518-967a-e20ed03c9084 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Zhong, Y.-H
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f7465881-b36c-437a-bea0-0f6fde541d44 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6b5e94ae-40dd-49ff-92c3-7b0039fa5560 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Deng, Y.-C
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation fd157a59-a7f2-43bd-87cf-22d63b504650 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Robust quantum computational advantage with programmable 3050-photon Gaussian boson sampling
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 62585fcf-f42e-4a49-b729-78b0ac3a8ec9 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Valiant, The complexity of computing the permanent, Theoretical Computer Science 8, 189 (1979)
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 94976d84-f608-4a71-986f-b6361dc00499 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling However, these weaker forms of convergence are not sufficient for the hiding property and subsequent hardness argument [1, 7]
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9f52f6fb-928c-4917-bece-67196aed76c8 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Complexity-theoretic foundations of BosonSampling with a linear number of modes
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eb447a35-eff3-48b8-ab41-e0950ed4b270 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Grier, D
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 49942627-f7d3-4812-8545-ff20fd62749a · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation decca2c3-f231-41d5-bd99-a25715b67bd1 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Ehrenberg, J
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1496f24a-67eb-4093-93b2-e5c41a2c3fdc · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Ehrenberg, J
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation ef173b33-b521-47ea-9fe0-2fc566625aac · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f6cbda84-ff62-412e-99c4-3ac9cb0cbb9e · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b6319ee3-26ce-46b4-8e64-8643f85c1e6f · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Collins and M
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9a1f621c-a39b-43cf-a039-4c01fbd167c3 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Jiang, The entries of circular orthogonal ensembles, J
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 93348b07-5905-404d-93e6-2389d207a0bd · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Jiang, How many entries of a typical orthogonal matrix can be approximated by independent normals?, Ann
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0a92abf3-10bc-4a7c-b7dc-c57ce8ccb3ae · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Jiang and Y
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6207ced0-6427-4c82-96ac-537204889bb9 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a6a3b174-a6f3-4a32-a863-f0a8afa08d46 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation fb2edb88-9cbf-4868-ae87-912eea5b7364 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8b566c80-716f-4dbf-91eb-f0470bcb712c · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f8b161c9-a95d-4ec0-8ba3-b7fceb31177a · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Collins, Int´ egrales matricielles et Probabilit´ es Non-Commutatives, Ph.D
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 35ef0f3b-30c9-4d32-a0c4-32cfc71594fe · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Jiang, Approximation of Haar distributed matrices and limiting distributions of eigenvalues of Jacobi ensembles, Probab
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0f62197d-d0ec-473e-99de-d867a8f3259d · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9f674190-ef71-4f52-8873-741cc4ea2c97 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6d47d734-4613-41ae-be58-5ef865499d99 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 098d4fa4-acd6-47ec-a57b-7c0633ce50d2 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Diaconis and D
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d7f5442a-080d-4bd8-a5b2-e648c39af4d7 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Stewart, Total variation approximation of random orthogonal matrices by Gaussian matrices, J
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6d5c4176-4b71-426e-93fb-5f75c260c070 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Collins, Moments and cumulants of polynomial random variables on unitary groups, the Itzykson-Zuber 22 integral, and free probability, Int
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f5186689-5a47-4936-bf35-96ba514cd644 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Collins and P
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation cd1d6d7f-37ff-4b88-9c72-37c882d1ae61 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Unresolved cited work
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8b3ee9e2-29db-4ab9-a508-aac91f54195c · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Speicher, Lectures on random matrices , EMS Series of Lectures in Mathematics (EMS Press, Berlin, 2024)
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8533d98f-81dc-4f53-bf8f-8f4fda6e927f · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation fc9d0116-c783-44b6-9531-8bc2562c7519 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Chatterjee and E
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5705b5cf-add3-4847-98d1-7cd5eba87ac5 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Mezzadri, How to generate random matrices from the classical compact groups, Notices Amer
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 815389ba-0632-4d7e-a9ef-b18def3e6075 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Unresolved cited work
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 57b27534-cf21-41a0-ab6e-97cac0f1eb2e · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling C ¸ ınlar,Probability and stochastics , Graduate Texts in Mathematics, Vol
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 51b82fd8-b70d-42b7-acaf-a0da9fe91e63 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Zyczkowski and H.-J
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation fb42cd38-170f-43ce-b2f2-cd3b6882ec52 · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Collins, Int´ egrales matricielles et Probabilit´ es Non-Commutatives, Ph.D
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 15e7d520-125f-45bf-9410-f6d053e33e3d · outbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Selberg, Remarks on a multiple integral, Norsk Mat
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7666e9e8-f9ad-489b-b362-35697f418571 · inbound
Proof of Hiding Conjecture in Gaussian Boson Sampling Proof of Hiding Conjecture in Gaussian Boson Sampling
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.