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Paper Citation Record · LEDGER

Variational formula for the logarithmic potential of free additive convolutions

As of 18 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2506.19064.

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

pith.paper-citation-record.v1
2506.19064 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:52:32.002179Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

13 of 13 outbound references displayed

  • verified exact3
  • verified fuzzy4
  • unresolved5
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4a25f018-cc06-4441-9d03-9c1bbd66f95a · outbound

This paper cites Asgari, A.

Variational formula for the logarithmic potential of free additive convolutions Asgari, A

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-15T18:52:31.939263Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:52:31.939263Z digest=sha256:f5750125361993d09d1f2c3b97e35de17ab3e96e176abf67ce3e8d61a8f531f5

Observation c3ebaa6d-8f10-4c37-968e-eec4b28ff802 · outbound

This paper cites an unresolved cited work.

Variational formula for the logarithmic potential of free additive convolutions Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:52:32.408573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:52:31.944864Z digest=sha256:0b73fbbf1586fefe5f0711b94cb86ccf7320777f5b72d8358dd7b872b7935bfe

Observation 0e68977d-2284-4fb7-90b7-d8735b57d096 · outbound

This paper cites Journal of Statistical Mechanics: Theory and Experiment, 2021(6) 064001 (2021),https://dx.doi.org/10.1088/1742-5468/ abfa1e.

Variational formula for the logarithmic potential of free additive convolutions Journal of Statistical Mechanics: Theory and Experiment, 2021(6) 064001 (2021),https://dx.doi.org/10.1088/1742-5468/ abfa1e

Reference 3

Resolution
malformed identifier
no resolver link, observed 2026-08-15T18:52:31.949935Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:52:31.949935Z digest=sha256:03f6af1814e3ba52ff041fbfe45a5fd49b58cf450475451acdab668024fa0a37

Observation e592aafa-01ed-442f-a626-cc558068e500 · outbound

This paper cites On the determinant in Bray-Moore's TAP complexity formula.

Variational formula for the logarithmic potential of free additive convolutions On the determinant in Bray-Moore's TAP complexity formula

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-15T18:52:32.230245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:52:31.955438Z digest=sha256:732fa6de43f3a563e96f20617ef87b9797b7011b5d7acc877c7d75cafd15ba30

Observation d09644de-7165-4204-a8e1-5c4bb6f85e56 · outbound

This paper cites Ben Arous, P.

Variational formula for the logarithmic potential of free additive convolutions Ben Arous, P

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:52:32.391979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:52:31.961058Z digest=sha256:dc923cadc5c366488e57ebef8ed521e2d5210ba282a5de6b818c6a5e12511877

Observation 5466eff8-546d-4dc9-810f-c1cce6801cda · outbound

This paper cites an unresolved cited work.

Variational formula for the logarithmic potential of free additive convolutions Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:52:32.373225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:52:31.966492Z digest=sha256:d23ffada3668769b183b61193b8c6a8d7b0fea98d7892e302122f8aebbbb5977

Observation 518ede3c-da2a-4488-a1d1-83c2ebcfe425 · outbound

This paper cites Fusco, P.

Variational formula for the logarithmic potential of free additive convolutions Fusco, P

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:52:32.355831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:52:31.972586Z digest=sha256:bc640c5d964438aacdea5676122be8852176c208182fc19c20d329777c51ca51

Observation 0a0c856a-f2f5-42fb-8f38-5730d06c4480 · outbound

This paper cites Guionnet, M.

Variational formula for the logarithmic potential of free additive convolutions Guionnet, M

Reference 8

Resolution
verified exact
doi, observed 2026-08-15T18:52:32.050722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:52:31.977528Z digest=sha256:4858f53e86eee10e720800189b0e44a4730a1e2da45815e7e4ad5cd1fbdfd2cc

Observation 6e9e0ea0-1765-419e-98cd-cda19fb100fe · outbound

This paper cites Maillard, G.

Variational formula for the logarithmic potential of free additive convolutions Maillard, G

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:52:32.338602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:52:31.982286Z digest=sha256:a5645555e40f0f31670fcf76a57251470e7dd03f5afd7e82ad10f7f61a0d064b

Observation 76273c26-b3d7-42f5-b795-c4d9f5234e30 · outbound

This paper cites an unresolved cited work.

Variational formula for the logarithmic potential of free additive convolutions Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:52:32.323296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:52:31.987199Z digest=sha256:5abf33ae07b4fbc205846725db3c1e733898b0a6646f8d3c19b435f22e15e2f4

Observation a09038f7-b016-4932-a7c5-d7767fd133bb · outbound

This paper cites an unresolved cited work.

Variational formula for the logarithmic potential of free additive convolutions Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-15T18:52:31.992631Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:52:31.992631Z digest=sha256:379bec0cc1a1a98767fb79443ffe083605d33c1de69d0f99441a4aea35664881

Observation e3b350a4-e099-43d8-8f24-92338a4c7a78 · outbound

This paper cites an unresolved cited work.

Variational formula for the logarithmic potential of free additive convolutions Unresolved cited work

Reference 12

Resolution
verified exact
raw_fallback, observed 2026-08-15T18:52:32.206198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:52:31.997333Z digest=sha256:24fe4e29a9535c6e79188c9e132394369f869f17300288e373bebdcc4c8c99ba

Observation b0004e59-f83b-43f8-988b-08b7c12d41e8 · outbound

This paper cites Voiculescu,Addition of certain non-commuting random variables.

Variational formula for the logarithmic potential of free additive convolutions Voiculescu,Addition of certain non-commuting random variables

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:52:32.308419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T18:52:32.002179Z digest=sha256:981d00c8e8cbfc823a2f2246d4d600fa47a99eba84da469239a4d6a738f08ef2

Pith citing papers

No inbound Pith citation observations are available.