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Paper Citation Record · LEDGER

The Born Representation Theorem and the Unistochastic Theorem

As of 12 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 2026-08-12T06:34:41.77262+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:e943b3d08d18ac1b81f05864e697709935fd4d1df2b43214ab49345957eb826b

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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no resolver link, observed 2026-08-08T19:17:39.421845Z

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source=pdf_text observed=2026-08-08T19:17:39.421845Z digest=sha256:fd01bb9f09455cfa0bdb6a1621792fc5629730e6697cb2f04e2ff586a8a2a14f

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

Resolution
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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T19:17:39.427070Z digest=sha256:4daf30aa605380858ef4b5ae874e5e7eec054ecb16406aa50560d5d7164c9849

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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verified fuzzy
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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T19:17:39.433211Z digest=sha256:6ccc673bbc8fac44503fcce3df0e37cdccae746796d5890e063e0bbd03249447

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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no resolver link, observed 2026-08-08T19:17:39.438769Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T19:17:39.438769Z digest=sha256:59ef74f67b3b18033a10f15dfd851ab29ffabb2ad0484b1513172f31461b9520

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T19:17:39.444223Z digest=sha256:1952beca3f470f63427492b8bdf52edd3ebfa6a8d382fc124557b383dd6e63df

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
unresolved
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:bfb805c0321c4682a006a623376bcd88a5942ea0ea2069c171aa32eb6479a993

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

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

Source-reported events for the cited work

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source=pdf_text observed=2026-08-08T19:17:39.455233Z digest=sha256:e6d799d16a3f8f61788ad80a33270bfed2eb6111850d0f929d686a0c7931f230

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T19:17:39.461295Z digest=sha256:8029747bba2cd87b7afcaad978b644f1611c5c210233cf60d52cfcb9d59a8753

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T19:17:39.466288Z digest=sha256:f011fe9f79bdcd1fdd8b2ef454668f244a17d1abe9eff47c972cc521c653ed5c

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:17:40.152342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T19:17:39.472197Z digest=sha256:7027485a858f2b8f5c00d9fd8dcee9c5a986dcc4899f2b50998f72fcb95d7012

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

Resolution
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no resolver link, observed 2026-08-08T19:17:39.482857Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T19:17:39.482857Z digest=sha256:e0c8b0778590fc57e25db0b91d7106f7756a1ca3ca1d0f9b66f0caa4a94fc992

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

Resolution
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:ab41c8c1daf7089ef0f51bc4872e1785b39ec5ba85da26d7581008314ee0a4f8

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

This paper cites ThéorèmeHetunitaritédeS.

The Born Representation Theorem and the Unistochastic Theorem ThéorèmeHetunitaritédeS

Reference 14

Resolution
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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T19:17:39.494062Z digest=sha256:8b7a7059f9faee2c4118c105c42843edbf87ff0cff110c1d8865e047d55f05fc

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:17:40.130414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T19:17:39.499192Z digest=sha256:b76c4b553aa2a8fee4aa5033a4d2c02af1caa75996784c9ce79696df7c345022

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T19:17:39.504814Z digest=sha256:779290e7d52a672855c4604dfa0d2f935de3bdd67e6c6aca23859c491029e4ae

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T19:17:39.509553Z digest=sha256:2893b7e379c5c706a8ab8d2c678576bcb93500317fd3456629b2c049d3834189

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-08T19:17:39.477122Z digest=sha256:4c70d4a396eea0f4d651b96fe0c5aadd774a7e266d1ca2ebc369799a7fb17414

Pith citing papers

No inbound Pith citation observations are available.