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Paper Citation Record · LEDGER

On the Brown measure of $x + i y$, with $x,y$ selfadjoint and $y$ free Poisson

As of 14 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2512.23528.

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

pith.paper-citation-record.v1
2512.23528 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T13:43:49.945537Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

23 of 23 outbound references displayed

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  • verified fuzzy0
  • unresolved23
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 126b96da-ab4e-4bcf-807f-4d3218c8389f · outbound

This paper cites Belinschi and M.

On the Brown measure of $x + i y$, with $x,y$ selfadjoint and $y$ free Poisson Belinschi and M

Reference 1

Resolution
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no resolver link, observed 2026-08-03T13:43:48.557002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:48.557002Z digest=sha256:f9f8f61765d3c30894cf9672704efc39c19444ac77f37380f2a11d0ac3441f73

Observation 94e671c8-e427-470e-9444-7b6c2a287734 · outbound

This paper cites Belinschi, Tobias Mai, and Roland Speicher,Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem, J.

On the Brown measure of $x + i y$, with $x,y$ selfadjoint and $y$ free Poisson Belinschi, Tobias Mai, and Roland Speicher,Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem, J

Reference 2

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no resolver link, observed 2026-08-03T13:43:48.631758Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:48.631758Z digest=sha256:0cb5121a84905677c6d710eca0e4c11183bae3a2b81e9d0f63609db923271828

Observation f2cb8102-8adf-4fc2-b28c-e42d9b0c5af8 · outbound

This paper cites an unresolved cited work.

On the Brown measure of $x + i y$, with $x,y$ selfadjoint and $y$ free Poisson Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T13:43:48.683729Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:48.683729Z digest=sha256:443f8152dcbcd75059bdc97e188be9e4d481d540c9729e9b7e36bbd615e24739

Observation 6d78cf93-75e1-4aa1-9e90-cd34ca064dda · outbound

This paper cites Belinschi, Zhi Yin, and Ping Zhong,The Brown measure of a sum of two free random variables, one of which is triangular elliptic, Adv.

On the Brown measure of $x + i y$, with $x,y$ selfadjoint and $y$ free Poisson Belinschi, Zhi Yin, and Ping Zhong,The Brown measure of a sum of two free random variables, one of which is triangular elliptic, Adv

Reference 4

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no resolver link, observed 2026-08-03T13:43:48.749479Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:48.749479Z digest=sha256:7c63dcbec857c72fb8137b8602042074fe24cb7fce77c8e9b552fee63aa38b10

Observation c87939fa-f40b-48b4-a77c-13372a2b7eb4 · outbound

This paper cites The Brown measure of a sum of two free nonselfadjoint random variables, one of which is R-diagonal.

On the Brown measure of $x + i y$, with $x,y$ selfadjoint and $y$ free Poisson The Brown measure of a sum of two free nonselfadjoint random variables, one of which is R-diagonal

Reference 5

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unresolved
no resolver link, observed 2026-08-03T13:43:48.873409Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:48.873409Z digest=sha256:7e972ced01071db54fe066ea250544b534cc0ee53b8874b56dfc069ba4118be7

Observation 75f59290-9249-4d8d-b1c6-6f81afcd182d · outbound

This paper cites an unresolved cited work.

On the Brown measure of $x + i y$, with $x,y$ selfadjoint and $y$ free Poisson Unresolved cited work

Reference 6

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no resolver link, observed 2026-08-03T13:43:48.937734Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:48.937734Z digest=sha256:319997499d0bc9f0d92127b1e16fa718ec546ea2cbb4ff0982d4b10160f62c30

Observation 030aa3e2-96e0-4836-bbd0-09b09c95dbe4 · outbound

This paper cites Math.90(2001), no.

On the Brown measure of $x + i y$, with $x,y$ selfadjoint and $y$ free Poisson Math.90(2001), no

Reference 7

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no resolver link, observed 2026-08-03T13:43:48.989755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:48.989755Z digest=sha256:6d1287182eca0099d79ab69ad214f7f65112b548962a4168edeb1271416d754f

Observation fcfbcbc3-2688-4685-b7b4-a75ffce6f9d4 · outbound

This paper cites 4, 621–669.

On the Brown measure of $x + i y$, with $x,y$ selfadjoint and $y$ free Poisson 4, 621–669

Reference 8

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no resolver link, observed 2026-08-03T13:43:49.085307Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:49.085307Z digest=sha256:da35f507ae1c4c08c6d52a0136785b386a65e540d2c410b7283bd1f3f6b54d2a

Observation 2e1a5dbc-03f5-4eb0-9eb5-be15d40e6e15 · outbound

This paper cites Bredon,Topology and geometry, Graduate Texts in Mathematics, Springer-Verlag, 1993.

On the Brown measure of $x + i y$, with $x,y$ selfadjoint and $y$ free Poisson Bredon,Topology and geometry, Graduate Texts in Mathematics, Springer-Verlag, 1993

Reference 9

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no resolver link, observed 2026-08-03T13:43:49.156784Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:49.156784Z digest=sha256:16fa17a8e044a6302bcffb8db33d88382e18eaf84f9722912971fd39cbbd4513

Observation 9817d412-16c6-4aa7-8eaf-9d4875375b17 · outbound

This paper cites Brown,Lidski ˘i’s theorem in the typeIIcase, Geometric methods in operator algebras (Kyoto, 1983), Pitman Res.

On the Brown measure of $x + i y$, with $x,y$ selfadjoint and $y$ free Poisson Brown,Lidski ˘i’s theorem in the typeIIcase, Geometric methods in operator algebras (Kyoto, 1983), Pitman Res

Reference 10

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no resolver link, observed 2026-08-03T13:43:49.186237Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:49.186237Z digest=sha256:5f36eb797ab2097aa0ec9c2b5f8a408c0cf1b656c93ff955397c72f17ed900a6

Observation 9d6fe886-cd5c-4cf1-aa1e-17566c803471 · outbound

This paper cites an unresolved cited work.

On the Brown measure of $x + i y$, with $x,y$ selfadjoint and $y$ free Poisson Unresolved cited work

Reference 11

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no resolver link, observed 2026-08-03T13:43:49.236772Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:49.236772Z digest=sha256:3465b38c3b57f4949acfb2665f3588fd827c2502dae2990614197d328dff1705

Observation 0c6be58d-ee2e-44df-b730-4a4b28589bb0 · outbound

This paper cites Driver, Brian Hall, and Todd Kemp,The Brown measure of the free multiplicative Brownian motion, Probab.

On the Brown measure of $x + i y$, with $x,y$ selfadjoint and $y$ free Poisson Driver, Brian Hall, and Todd Kemp,The Brown measure of the free multiplicative Brownian motion, Probab

Reference 12

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no resolver link, observed 2026-08-03T13:43:49.296560Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:49.296560Z digest=sha256:0d67e156487cf3c69d04ba7c371b8353a23d59b549f1088d94149e1ffea2e049

Observation d0837453-3c98-4201-87c5-e68c06d6dfc1 · outbound

This paper cites an unresolved cited work.

On the Brown measure of $x + i y$, with $x,y$ selfadjoint and $y$ free Poisson Unresolved cited work

Reference 13

Resolution
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no resolver link, observed 2026-08-03T13:43:49.388524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:49.388524Z digest=sha256:ebefef945c82a3ae15c75b856f97958aac32a48d055e25fc607794257b0ea087

Observation 3dc402f0-6c7d-4bb9-a01c-a91930ed892a · outbound

This paper cites Scand.100(2007), no.

On the Brown measure of $x + i y$, with $x,y$ selfadjoint and $y$ free Poisson Scand.100(2007), no

Reference 14

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no resolver link, observed 2026-08-03T13:43:49.453218Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:49.453218Z digest=sha256:a4f9e098666d1b3eed00c7948fb8ab534c0fec0db247edd426f7ef7134462639

Observation 126cb493-14e7-47a4-87d3-5471db89b08e · outbound

This paper cites Hall and Ching-Wei Ho,The Brown measure of the sum of a self-adjoint element and an imaginary multiple of a semicircular element, Lett.

On the Brown measure of $x + i y$, with $x,y$ selfadjoint and $y$ free Poisson Hall and Ching-Wei Ho,The Brown measure of the sum of a self-adjoint element and an imaginary multiple of a semicircular element, Lett

Reference 15

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no resolver link, observed 2026-08-03T13:43:49.514228Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:49.514228Z digest=sha256:512978de42dc7dec97d6e5e5e8f96eac30f6ca129a050436ef6501aac814b5c3

Observation 36db3c14-66cb-40de-8be4-1393cb7271d5 · outbound

This paper cites Theory Related Fields186(2023), no.

On the Brown measure of $x + i y$, with $x,y$ selfadjoint and $y$ free Poisson Theory Related Fields186(2023), no

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-03T13:43:49.546688Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:49.546688Z digest=sha256:c67094ddd1df33fdcaf1522949b2969160b602fa5e48e1efb4ccce6aaa2b2ac9

Observation 20623e0b-ee50-4ba6-bcf9-a781419a6761 · outbound

This paper cites William Helton, Tobias Mai, and Roland Speicher,Applications of realizations (aka linearizations) to free probability, J.

On the Brown measure of $x + i y$, with $x,y$ selfadjoint and $y$ free Poisson William Helton, Tobias Mai, and Roland Speicher,Applications of realizations (aka linearizations) to free probability, J

Reference 17

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no resolver link, observed 2026-08-03T13:43:49.609899Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:49.609899Z digest=sha256:865307367c3172fd606420a043a0708163393f38124ce6439e1a02d7f9c8c806

Observation 96dad3be-3c6c-444d-936b-3bc50e74f1a8 · outbound

This paper cites an unresolved cited work.

On the Brown measure of $x + i y$, with $x,y$ selfadjoint and $y$ free Poisson Unresolved cited work

Reference 18

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no resolver link, observed 2026-08-03T13:43:49.641307Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:49.641307Z digest=sha256:cda8d3db5ea299210fd6ccf5658514979e33ccaad6c3fa724d18896c260afe4b

Observation e5465913-8787-4074-a6f1-a4bbde054b87 · outbound

This paper cites an unresolved cited work.

On the Brown measure of $x + i y$, with $x,y$ selfadjoint and $y$ free Poisson Unresolved cited work

Reference 19

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no resolver link, observed 2026-08-03T13:43:49.709800Z

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source=pdf_text observed=2026-08-03T13:43:49.709800Z digest=sha256:4b67eac09515c3cb8a06ece2fceed4f919c13132b33e5c774e94425390c3d8ef

Observation 8053d672-7a72-4821-9726-cd30b6ed0ab7 · outbound

This paper cites Mag.85(2012), no.

On the Brown measure of $x + i y$, with $x,y$ selfadjoint and $y$ free Poisson Mag.85(2012), no

Reference 20

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no resolver link, observed 2026-08-03T13:43:49.733592Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:49.733592Z digest=sha256:7740f7adfa7e0c70338fbbb39e1b3040ae95ac3e476443556fa077011f543651

Observation 999229a8-3aad-4d7d-81b3-ff983a7845e3 · outbound

This paper cites an unresolved cited work.

On the Brown measure of $x + i y$, with $x,y$ selfadjoint and $y$ free Poisson Unresolved cited work

Reference 21

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:49.796227Z digest=sha256:58a0148a920e311da875f35494c5d1d8f54ded80b04c8afae93e5d4a1f2f6700

Observation c029f4d3-0480-4c02-91ad-c15de45be842 · outbound

This paper cites an unresolved cited work.

On the Brown measure of $x + i y$, with $x,y$ selfadjoint and $y$ free Poisson Unresolved cited work

Reference 22

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:49.875275Z digest=sha256:2d7ca6f5f53a3d23ee87c2f58cad62fdc05329dde38cd369e53ec34995d3a9dd

Observation 0c572f40-1833-4adb-80f3-1b3a78001cba · outbound

This paper cites Brown measure of the sum of an elliptic operator and a free random variable in a finite von Neumann algebra.

On the Brown measure of $x + i y$, with $x,y$ selfadjoint and $y$ free Poisson Brown measure of the sum of an elliptic operator and a free random variable in a finite von Neumann algebra

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-03T13:43:49.945537Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:49.945537Z digest=sha256:28e03d216fcf62d096e6b39f59bad92e51d4d72b409216ca62c25ff0d32ebe68

Pith citing papers

No inbound Pith citation observations are available.