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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 19 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 2026-08-18T06:34:40.430872+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

23 of 23 outbound references displayed

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  • verified fuzzy0
  • unresolved23
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  • malformed identifier0
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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

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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=sha256:8a832fdf606c82239a19034e15d79bdb8b7cfc7c6b506799225a07ac259d4d7c

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=sha256:5935b36c63fd2f07e37a0d2baac4240b52a3e0d0f5c94bfd540698c7592f1e89

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=sha256:63c19898a47c09cd4a38a564a429d831b633dd54221c114884a9d461acf5b4dc

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:c640543bd6805cd978ed01c595551947b9fece9576e79876aa378e23e2f4f76b

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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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=sha256:6cbd667af25172c91117b34a4806898ad9b2829fe9461ad1326e1aac541245ac

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=sha256:479bdbf5348509327fd1a93bd4d83db0fb9fc7706ef4d4e60279f59b5b9593e4

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

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source=pdf_text observed=2026-08-03T13:43:48.989755Z digest=sha256:597f11b256dcc7521d09ed8297e470580d3f45990780d7694429566048dc0d01

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:49.085307Z digest=sha256:3770b8dbaa915086f7b8b79496b18f361a3ae5eb5f91d05db9f8360352f38ce4

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=sha256:406b218cbed05939eb0e56b7781f668a7ac60e23a2e2b0f481c7cf431b94def8

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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:49.186237Z digest=sha256:a08e6adc41677c69c052001d1d9d65c0fb6fcb69cbc2751b0f05bfaa40782e40

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:f72b2abf2512a151bf7d9378f506f1f7a8d0828a5eb77338b24f0218a89f507b

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=sha256:92266cf5f85b484e15e5d866a56e70596389b3a8c456fffb1b8c2cb4ef99df08

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

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:49.388524Z digest=sha256:04a934637a39bf9d0124d40f22a3a2526bbad6dade7d01b9919c6ed0aa8a1429

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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source=pdf_text observed=2026-08-03T13:43:49.453218Z digest=sha256:6436c4aa3b3078417616636d67ccae833227ff3371ddde9d64b1892500464da2

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:49.514228Z digest=sha256:56a8761f7306796a04c8fd973425b8276810392008d39878cb586fb7d6db4d5f

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:49.546688Z digest=sha256:d9e01cad5a82e04426c1973439e1755d79f6142987abbebe114f3d409be692e3

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:43:49.609899Z digest=sha256:7f45979052db0b67e654161b7eb507cce28897a4f5aa5f11e68e98dbc955bb44

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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source=pdf_text observed=2026-08-03T13:43:49.641307Z digest=sha256:4d3c746b44a3481e84979d4b4c13b0c307797eec0332f3b77d4e52ae697f9759

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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source=pdf_text observed=2026-08-03T13:43:49.709800Z digest=sha256:5cdf64624b6a004b9fa53e5bc9624f2f0cdfe6e99488e538a843e2de74795787

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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source=pdf_text observed=2026-08-03T13:43:49.733592Z digest=sha256:d3929f6ee98606276b4418eba9dcd5e83663f3da1e7eb58aa3507adf8bcad297

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:dfa5d57fde819f287bcaa5d72e0f4eed552780fb32546d981dfd038eb70864ad

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:e08de61e17dc844196d64b534badd1a5b62ad85ef4103c430164ccfe88fccfcd

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

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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=sha256:396571d80d2f115f832b38559b670f9f0bd1388881821e9b41aa0414641162fa

Pith citing papers

No inbound Pith citation observations are available.