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Paper Citation Record · LEDGER

Variational Formulas for the Spectrum of Block Wishart Matrices

As of 19 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2606.27774.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2606.27774 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T03:42:44.356252Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:25:15.165315Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-16T00:25:15.636545Z

Reference resolution

21 of 21 outbound references displayed

  • verified exact5
  • verified fuzzy0
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 13b9e74f-7808-4f82-bc29-504684b4a49f · outbound

This paper cites o s, and Torben H Kr \.

Variational Formulas for the Spectrum of Block Wishart Matrices o s, and Torben H Kr \

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-29T03:42:44.356252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T03:42:44.356252Z digest=sha256:bc5fb8850cfe4055724c94a1a4f974eb7fce0f6e0c3182e03dfa73e805fa3674

Observation f6e7192e-1c85-403f-923b-bdaabd52fcf5 · outbound

This paper cites an unresolved cited work.

Variational Formulas for the Spectrum of Block Wishart Matrices Unresolved cited work

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-07-01T17:25:51.966398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-29T03:42:44.356252Z digest=sha256:9e8ab1872f9a74e80467f190961a778b03b72881ac8fa8509e893fe86537cf7a

Observation d05e3ddc-0ad3-4c70-8948-25b9c3bb7415 · outbound

This paper cites 118, Cambridge University Press , 2010.

Variational Formulas for the Spectrum of Block Wishart Matrices 118, Cambridge University Press , 2010

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-29T03:42:44.356252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T03:42:44.356252Z digest=sha256:06d4ae33c4914fb18206717f360480bf1ef721638a2305a305fe2ae82e5cbd3a

Observation c9fe7356-dfaa-4eb1-9d29-5436ce24db66 · outbound

This paper cites an unresolved cited work.

Variational Formulas for the Spectrum of Block Wishart Matrices Unresolved cited work

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-07-01T17:25:51.968761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-29T03:42:44.356252Z digest=sha256:859661c52e1ff23f002a2604d9691d82bc538b8e54a687bab0e90fd58a5b5815

Observation 1419780f-cf10-4259-b53d-c44cb3bf7571 · outbound

This paper cites an unresolved cited work.

Variational Formulas for the Spectrum of Block Wishart Matrices Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-29T03:42:44.356252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T03:42:44.356252Z digest=sha256:1fc58f3d7ad04ecc939ac2d429dcf8507449a297c581bd35bc83f45b9fda0c79

Observation 198ce76b-6f19-4459-8ab3-96bf03946ff3 · outbound

This paper cites an unresolved cited work.

Variational Formulas for the Spectrum of Block Wishart Matrices Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-29T03:42:44.356252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T03:42:44.356252Z digest=sha256:92167a1729a07c86bc6c0f2204f210c43aff5596cbe21b32eaa9df5d2222344c

Observation b232ec26-0e50-4935-9a59-a5239a988461 · outbound

This paper cites Spectra of large block matrices.

Variational Formulas for the Spectrum of Block Wishart Matrices Spectra of large block matrices

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-07-01T17:25:51.964087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-29T03:42:44.356252Z digest=sha256:fcf49934b4ecb2502e9f548c3ae772910abbea18a9e24e319d1614fc7fee83cd

Observation 657ee064-d95f-431e-afd5-7646758b78fe · outbound

This paper cites 9, rnm086--rnm086.

Variational Formulas for the Spectrum of Block Wishart Matrices 9, rnm086--rnm086

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-29T03:42:44.356252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T03:42:44.356252Z digest=sha256:0dca9dc1f3e147358cf1bdff269d2974cac79227add4b1df6ecb92b1d612d463

Observation c3c83537-d54f-4b99-9b79-d7b768140a74 · outbound

This paper cites an unresolved cited work.

Variational Formulas for the Spectrum of Block Wishart Matrices Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-29T03:42:44.356252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T03:42:44.356252Z digest=sha256:2ace03c3f72167f35fe91010f119ea80c5fad38486a979d34783ec766d73a01b

Observation 464969ae-663a-4ec6-b033-b6541a2fc537 · outbound

This paper cites 3, 453--486.

Variational Formulas for the Spectrum of Block Wishart Matrices 3, 453--486

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-29T03:42:44.356252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T03:42:44.356252Z digest=sha256:4bd99fbd6fc1fd986368fb7c440d426a4f4555397e7d9a4edd136ca03a596225

Observation a84c767c-6bdf-4242-a532-7edd5d910012 · outbound

This paper cites 3, 507--541.

Variational Formulas for the Spectrum of Block Wishart Matrices 3, 507--541

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-29T03:42:44.356252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T03:42:44.356252Z digest=sha256:0cb0908b5d59ff95bbea2a3cd273baf399f9369889d45f5798f48410abbac26d

Observation 816770fd-8e70-4746-84ee-957cf9962656 · outbound

This paper cites 287--327.

Variational Formulas for the Spectrum of Block Wishart Matrices 287--327

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-29T03:42:44.356252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T03:42:44.356252Z digest=sha256:53789bcf2b33718fe6a6c64bb21f303a6bfe377f3906f7c1806b4d838cfbbaf5

Observation 45a36011-6c77-48c1-8c7e-a1a6994d0244 · outbound

This paper cites an unresolved cited work.

Variational Formulas for the Spectrum of Block Wishart Matrices Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-29T03:42:44.356252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T03:42:44.356252Z digest=sha256:a6d2a81a92a4837ec0150ce3cf831cfab07cfcbcbcff1ab3c9e1be0dc3986364

Observation 70e3c81e-77d6-4f11-be2d-4d383631eced · outbound

This paper cites 4, 457--483.

Variational Formulas for the Spectrum of Block Wishart Matrices 4, 457--483

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-29T03:42:44.356252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T03:42:44.356252Z digest=sha256:1a5f29fbcfa1e60b4155c41f54d64c472be3650795bf02e3e4adc73b3fd55530

Observation 09961874-e0a5-47b5-8992-c98889ff6e4c · outbound

This paper cites 4310--4312.

Variational Formulas for the Spectrum of Block Wishart Matrices 4310--4312

Reference 15

Resolution
unresolved
no resolver link, observed 2026-06-29T03:42:44.356252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T03:42:44.356252Z digest=sha256:12727d93213db20be8392a738525bde73fa1b1eade194c309ae73528b90a67fc

Observation ab56d2b3-05b6-44a0-9577-842b49ef88c6 · outbound

This paper cites 13, Cambridge University Press, 2006.

Variational Formulas for the Spectrum of Block Wishart Matrices 13, Cambridge University Press, 2006

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-29T03:42:44.356252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T03:42:44.356252Z digest=sha256:b18b0ce1bf40e1d737aefb9978e820e541c645deff3e1425b30ef1aba5614d04

Observation a7cdf2f3-322b-401d-b527-e8e9dd82bfed · outbound

This paper cites arXiv preprint arXiv:2510.23987 , year=.

Variational Formulas for the Spectrum of Block Wishart Matrices arXiv preprint arXiv:2510.23987 , year=

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-07-01T17:25:51.971614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-29T03:42:44.356252Z digest=sha256:bffbd2c1720e13146a44b274e4f9977645f7fb9d1704c5033d5640e374262d7a

Observation f3c4a1ec-ada9-4e00-b0b7-3d13339aca62 · outbound

This paper cites 2, 175--192.

Variational Formulas for the Spectrum of Block Wishart Matrices 2, 175--192

Reference 18

Resolution
unresolved
no resolver link, observed 2026-06-29T03:42:44.356252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T03:42:44.356252Z digest=sha256:e8867b7ef5bdc7c9795ce871f6118058817f4343785ec41e1da5735ac20bef55

Observation c9e864e5-1d77-4db6-bf5d-10a6e76196fa · outbound

This paper cites 2, 295--309.

Variational Formulas for the Spectrum of Block Wishart Matrices 2, 295--309

Reference 19

Resolution
unresolved
no resolver link, observed 2026-06-29T03:42:44.356252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T03:42:44.356252Z digest=sha256:f94000804555aa496127191482acdb8e5e8d15b10cb479d3b259fd808127a201

Observation fea78729-825e-4edb-87cf-42b9a6a1c7dc · outbound

This paper cites Lecture Notes on "Non-Commutative Distributions".

Variational Formulas for the Spectrum of Block Wishart Matrices Lecture Notes on "Non-Commutative Distributions"

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-07-01T17:25:51.974009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-29T03:42:44.356252Z digest=sha256:60b18eb5b3296326205a77fe18c093ced413a66e913c059070e538132d0b5cc4

Observation e6a1ff68-9a91-46c9-a543-ec0df58fa3fd · outbound

This paper cites an unresolved cited work.

Variational Formulas for the Spectrum of Block Wishart Matrices Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-06-29T03:42:44.356252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-29T03:42:44.356252Z digest=sha256:c3ff7e7362966e4a8fd2ee754a0a10d2b996bbb01391c4c87abe1f667e1ecd47

Pith citing papers

Observation 440d89ea-4f4c-40dc-a7e0-6ae4313b9e74 · inbound

Spectral phase transitions in Gaussian multi-index models cites this paper.

Spectral phase transitions in Gaussian multi-index models Variational Formulas for the Spectrum of Block Wishart Matrices

Reference 49

Resolution
verified exact
local_arxiv, observed 2026-08-16T00:25:15.643114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T00:25:15.165315Z digest=sha256:dca73128a12c48866bcae8fd8b41daa9a1815caedb56c11276d46762d3e69d16