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Paper Citation Record · LEDGER

The Born Representation Theorem and the Unistochastic Theorem

As of 17 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2608.04354.

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

pith.paper-citation-record.v1
2608.04354 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T19:17:39.509553Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

18 of 18 outbound references displayed

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  • verified fuzzy5
  • unresolved7
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c19121ad-8f0a-4228-8602-a45da0996dc8 · outbound

This paper cites The Stochastic-Quantum Correspondence.

The Born Representation Theorem and the Unistochastic Theorem The Stochastic-Quantum Correspondence

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T19:17:39.415438Z digest=sha256:6932821d7d9155fdc9ce49833b8daab6efaee859153fdfcf54a71fe2fdfb1418

Observation cb7ad307-617a-4d44-b856-2cd05ed65206 · outbound

This paper cites The Stochastic-Quantum Theorem.

The Born Representation Theorem and the Unistochastic Theorem The Stochastic-Quantum Theorem

Reference 2

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T19:17:39.421845Z digest=sha256:b17dea6d45e88db0f93fbe7775678303532d2be3dcdc71b7d4f7a434f5e9aaeb

Observation 35f67d7c-7413-4943-9dff-4067179ede71 · outbound

This paper cites The Importance of Being Unistochastic.

The Born Representation Theorem and the Unistochastic Theorem The Importance of Being Unistochastic

Reference 3

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verified exact
local_arxiv, observed 2026-08-08T19:17:40.087241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:17:39.427070Z digest=sha256:c6f74b4685f56e212c8d7c41c4ca9049868c2ead3b7b9befe9b2e28ec99f952a

Observation 5c0ed646-456b-44b2-bbe0-6dd031186a62 · outbound

This paper cites Tres Observaciones sobre el Álgebra Lineal.

The Born Representation Theorem and the Unistochastic Theorem Tres Observaciones sobre el Álgebra Lineal

Reference 4

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raw_fallback, observed 2026-08-08T19:17:40.214289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:17:39.433211Z digest=sha256:7811aa9cc727a3d77384383bb7710b2776feae76a973431af2abc8c859474933

Observation 1d7f6307-86b1-4b4a-84ef-0b9ad6121b2e · outbound

This paper cites Zur Quantenmechanik der Stoßvorgänge (‘On the Quantum Mechanics of Colli- sionProcesses’).

The Born Representation Theorem and the Unistochastic Theorem Zur Quantenmechanik der Stoßvorgänge (‘On the Quantum Mechanics of Colli- sionProcesses’)

Reference 5

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T19:17:39.438769Z digest=sha256:0bd1fd0ebdc7d0aacbfee3b4a262d69f17da4c4662c6c5140c894363a65c1599

Observation 353d2b44-68e6-4ac0-b819-5fe7cb7a8b44 · outbound

This paper cites Investigating Stochastic Processes Corresponding to Quantum Dy- namics on Finite Configuration Spaces.

The Born Representation Theorem and the Unistochastic Theorem Investigating Stochastic Processes Corresponding to Quantum Dy- namics on Finite Configuration Spaces

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:17:40.197809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:17:39.444223Z digest=sha256:fa4da229abca4c85fe23afad710c316b085a806b499ad8b3d2b7ced74a55b9fd

Observation 64f9f68e-8ceb-4b7e-8498-073d3a83b470 · outbound

This paper cites Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix.

The Born Representation Theorem and the Unistochastic Theorem Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix

Reference 7

Resolution
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no resolver link, observed 2026-08-08T19:17:39.450313Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T19:17:39.450313Z digest=sha256:89f542be85015b14426767fcb6067175e5a168606965962571e2d86027c26c69

Observation 97909891-69b1-4fb5-a8bc-6c34d103cd36 · outbound

This paper cites General State Changes in Quantum Theory.

The Born Representation Theorem and the Unistochastic Theorem General State Changes in Quantum Theory

Reference 8

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no resolver link, observed 2026-08-08T19:17:39.455233Z

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source=pdf_text observed=2026-08-08T19:17:39.455233Z digest=sha256:beda184df6d6c50205cb8a12b8c959cab6714b3408abf0725e86e97c48760634

Observation 466e58f1-3577-4fef-b5be-fb7da2517aa5 · outbound

This paper cites On a Representation of Additive Operator Set Functions.

The Born Representation Theorem and the Unistochastic Theorem On a Representation of Additive Operator Set Functions

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:17:40.176201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:17:39.461295Z digest=sha256:49954af0137d53cd575491186f1324d53f32d8cb87abb95d2184460b56e5678e

Observation 7fc2b792-8de4-469a-a16c-459be2ca340e · outbound

This paper cites On the Eigenvalues of Principal Submatrices of Normal, Hermitian and Symmetric Matrices.

The Born Representation Theorem and the Unistochastic Theorem On the Eigenvalues of Principal Submatrices of Normal, Hermitian and Symmetric Matrices

Reference 10

Resolution
verified exact
doi, observed 2026-08-08T19:17:39.653598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:17:39.466288Z digest=sha256:78aa8ce2134f41739a7a849c7da64ad80763b742025d54929e65af02ae7ea754

Observation e0f43829-6b15-4763-89a2-4803709303d1 · outbound

This paper cites Dilation of Stochastic Matrices by Coarse Graining.

The Born Representation Theorem and the Unistochastic Theorem Dilation of Stochastic Matrices by Coarse Graining

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:17:39.472197Z digest=sha256:3c288cb21c3206fa521c23e669810e150497d3e77fa30d74a98f335dc0976f90

Observation e63f0000-2041-471f-81f9-62aa75e1dcaf · outbound

This paper cites Positive Functions on C*-algebras.

The Born Representation Theorem and the Unistochastic Theorem Positive Functions on C*-algebras

Reference 12

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T19:17:39.482857Z digest=sha256:349695ab6f6ffd6519eb1a74113912a5ecaa5f4c56d16f66556a9224fd80cb45

Observation a08b069b-0e69-4e10-aabf-b480f67cb9c2 · outbound

This paper cites Linear Transformations in Hilbert Space.

The Born Representation Theorem and the Unistochastic Theorem Linear Transformations in Hilbert Space

Reference 13

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unresolved
no resolver link, observed 2026-08-08T19:17:39.488420Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T19:17:39.488420Z digest=sha256:7d2178fd3d9e54644f4fb6100e1d03a5688b7a003e7213ff3166df30f83450ce

Observation c961a6ba-cbc6-420c-ab6e-697073a7c8c0 · outbound

This paper cites ThéorèmeHetunitaritédeS.

The Born Representation Theorem and the Unistochastic Theorem ThéorèmeHetunitaritédeS

Reference 14

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verified exact
doi, observed 2026-08-08T19:17:39.575230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:17:39.494062Z digest=sha256:7b9776adaaee908640c4def12b717d75f646dab81a87812989e819baa5dd06ff

Observation ddbea1e1-ba55-4fd1-8617-f38341f70bb7 · outbound

This paper cites Lecture Notes from a Johns Hopkins University Lecture Series.

The Born Representation Theorem and the Unistochastic Theorem Lecture Notes from a Johns Hopkins University Lecture Series

Reference 15

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:17:39.499192Z digest=sha256:8e967d0fbfc89ab5fa23901daf3d43d829da7997ed32a8f964e8ec711683bf86

Observation a4de0152-981b-4bf0-976c-429afca20164 · outbound

This paper cites Conditional Probability in Physics.

The Born Representation Theorem and the Unistochastic Theorem Conditional Probability in Physics

Reference 16

Resolution
verified exact
doi, observed 2026-08-08T19:17:39.556584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:17:39.504814Z digest=sha256:39b3ba286713007b38aae4ed5829a12668d7f60d987c4c04bec78be88b617ff1

Observation 4fd4e2d1-9752-465e-bc06-e2bc62ae4464 · outbound

This paper cites Random unistochastic matrices.

The Born Representation Theorem and the Unistochastic Theorem Random unistochastic matrices

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-08T19:17:39.938153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:17:39.509553Z digest=sha256:b0319592f172d90c824586ba8a8c8b759dc52abfb8f664a318085c3a826ed43d

Observation 218bdfd5-c987-4830-bba7-6c0f3f79dfdd · outbound

This paper cites Dilation of stochastic matrices by coarse graining.

The Born Representation Theorem and the Unistochastic Theorem Dilation of stochastic matrices by coarse graining

Reference 2021

Resolution
verified exact
local_arxiv, observed 2026-08-08T19:17:39.632877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T19:17:39.477122Z digest=sha256:11eec124c791631a36ebde4edbc58a31b752eb92632f24d5401f6f0359df8cea

Pith citing papers

No inbound Pith citation observations are available.