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Paper Citation Record · LEDGER

A Bayesian Proof of the Bernoulli Theorem

As of 16 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2608.11031.

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

pith.paper-citation-record.v1
2608.11031 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:26:58.826519Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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 fuzzy1
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 62467ad1-fbd5-47df-820b-2f5df3050426 · outbound

This paper cites Theory of reproducing kernels.

A Bayesian Proof of the Bernoulli Theorem Theory of reproducing kernels

Reference 1

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no resolver link, observed 2026-08-15T14:26:58.722620Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:26:58.722620Z digest=sha256:a725d3103c2b710cd68ab6f92ac78efb5ad6ba79c130d5189940eb3df921cc9f

Observation da8068b7-cb8f-4d17-a815-2ceeb0571de8 · outbound

This paper cites Majorizing measures for the optimizer.

A Bayesian Proof of the Bernoulli Theorem Majorizing measures for the optimizer

Reference 2

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no resolver link, observed 2026-08-15T14:26:58.728983Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:26:58.728983Z digest=sha256:7dd68f8a42879d61698e8f249a83608d7c4cbc7b3d2ae5bb59355746bfd97def

Observation 314d145f-04b4-4d50-a475-eca752849517 · outbound

This paper cites On the boundedness of Bernoulli processes.

A Bayesian Proof of the Bernoulli Theorem On the boundedness of Bernoulli processes

Reference 3

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:26:58.734947Z digest=sha256:89e0a48fb087a18b3436006ca7ae567e6f325c9c82f4e8337620f797e22c928c

Observation 9330174a-c612-4246-8cc5-9db329f0dc58 · outbound

This paper cites Equivalent comparisons of experiments.

A Bayesian Proof of the Bernoulli Theorem Equivalent comparisons of experiments

Reference 4

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source=arxiv_source observed=2026-08-15T14:26:58.740307Z digest=sha256:dc512c8a442a99eed14c7b1e2c19c67a50708937f6a537f8727c650c77323e20

Observation cc620d87-898a-48e9-89df-2665c26b73ed · outbound

This paper cites Lectures on Fourier integrals , volume 42.

A Bayesian Proof of the Bernoulli Theorem Lectures on Fourier integrals , volume 42

Reference 5

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no resolver link, observed 2026-08-15T14:26:58.744902Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:26:58.744902Z digest=sha256:5f370254d88d42f8cfe9b14207e658c9eeaac831bd698f53f8d5543f22f634b9

Observation 02c7365e-dcc2-409c-95d7-e5a8dfd7d9fd · outbound

This paper cites Majorizing measures, codes, and information.

A Bayesian Proof of the Bernoulli Theorem Majorizing measures, codes, and information

Reference 6

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no resolver link, observed 2026-08-15T14:26:58.749423Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:26:58.749423Z digest=sha256:f70e7e853475e588472f7d9ab10658699e4abc765adef139dcdd3eb35a5a21d3

Observation 734bcb38-2b8b-4fe6-bcc2-0667960c8e64 · outbound

This paper cites Regularit \'e des trajectoires des fonctions al \'e atoires gaussiennes.

A Bayesian Proof of the Bernoulli Theorem Regularit \'e des trajectoires des fonctions al \'e atoires gaussiennes

Reference 7

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no resolver link, observed 2026-08-15T14:26:58.754424Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:26:58.754424Z digest=sha256:6eebc3568f7455a80fa9a814f242ff0127219b4cd7772b4755112760815d4f77

Observation 2fb4b04a-1476-4c8a-a5ff-35868fccd466 · outbound

This paper cites \'E valuations de certaines fonctionnelles associ \'e es \`a des fonctions al \'e atoires gaussiennes.

A Bayesian Proof of the Bernoulli Theorem \'E valuations de certaines fonctionnelles associ \'e es \`a des fonctions al \'e atoires gaussiennes

Reference 8

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no resolver link, observed 2026-08-15T14:26:58.759016Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:26:58.759016Z digest=sha256:3780d67eab792c4de3d912db67f58380fcc36d9e0c653737e1afced24f5ac98c

Observation ae767c60-d8ee-44d6-a18b-4ff9b687a5f7 · outbound

This paper cites Mutual information and minimum mean-square error in Gaussian channels.

A Bayesian Proof of the Bernoulli Theorem Mutual information and minimum mean-square error in Gaussian channels

Reference 9

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no resolver link, observed 2026-08-15T14:26:58.763221Z

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source=arxiv_source observed=2026-08-15T14:26:58.763221Z digest=sha256:557977023ebeb65592cfa47da27384cfc747cd7c10dd7b436402c39ca4feab58

Observation f88ac8fa-4ac4-4a2d-896b-341f4ba3cd16 · outbound

This paper cites Simple and Sharp Generalization Bounds via Lifting.

A Bayesian Proof of the Bernoulli Theorem Simple and Sharp Generalization Bounds via Lifting

Reference 10

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no resolver link, observed 2026-08-15T14:26:58.767534Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:26:58.767534Z digest=sha256:79ceba893b6f82b3594eaadd130a71ec8a2bb45240bd5918192ceaf269106b0e

Observation c3a5dc6a-09a5-42a3-a6c3-0223bd6f3a1e · outbound

This paper cites Short proof of the Bernoulli conjecture.

A Bayesian Proof of the Bernoulli Theorem Short proof of the Bernoulli conjecture

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:26:59.015122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T14:26:58.772432Z digest=sha256:f144ae871ef750eba68ce42b85a3aefba4a48aed5d1801135ade2ecb07b5a0fb

Observation f46a64f5-9fef-4866-b909-6b433b00fd49 · outbound

This paper cites Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes.

A Bayesian Proof of the Bernoulli Theorem Gaussian Width of Convex Sets via Integral Decompositions, Projections, and the Distribution of Intrinsic Volumes

Reference 12

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no resolver link, observed 2026-08-15T14:26:58.776755Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:26:58.776755Z digest=sha256:3000d84fcf3283a71ec82bef51076b5587ab4a4d533c77ad58a6c08a9f0ad280

Observation 958c708c-dedb-419c-b2f8-64403d0cb534 · outbound

This paper cites Regularity of Gaussian processes.

A Bayesian Proof of the Bernoulli Theorem Regularity of Gaussian processes

Reference 13

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no resolver link, observed 2026-08-15T14:26:58.781657Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:26:58.781657Z digest=sha256:f506c35b89814b4fb33048df17cd83975444bb2316fee836f78387fcb7377154

Observation 20a4f94d-7cbc-4559-8f54-a2c775948ca3 · outbound

This paper cites A simple proof of the majorizing measure theorem.

A Bayesian Proof of the Bernoulli Theorem A simple proof of the majorizing measure theorem

Reference 14

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no resolver link, observed 2026-08-15T14:26:58.786118Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:26:58.786118Z digest=sha256:78fb95fcf9379a5f3e4b8006cd11d02cd55108427ace7b7eca69b270888a755c

Observation f8f4f8f4-6927-49b7-8b77-b876cc58b517 · outbound

This paper cites Constructions of majorizing measures, Bernoulli processes and cotype.

A Bayesian Proof of the Bernoulli Theorem Constructions of majorizing measures, Bernoulli processes and cotype

Reference 15

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no resolver link, observed 2026-08-15T14:26:58.790217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:26:58.790217Z digest=sha256:3e3240dd6a10b7c88bd48bbf643a2acd41d4a6344bf08aecb8d7eff6645d1688

Observation 0a2e3441-3c64-4e17-ae53-a1f04bb73690 · outbound

This paper cites Majorizing measures: The generic chaining.

A Bayesian Proof of the Bernoulli Theorem Majorizing measures: The generic chaining

Reference 16

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no resolver link, observed 2026-08-15T14:26:58.794677Z

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source=arxiv_source observed=2026-08-15T14:26:58.794677Z digest=sha256:8adf2f9ab921e2c2207882b96e74fb97abade7c3d6b522514736af1380ce77d9

Observation d8585cfe-d195-4682-a4ad-f6c043188a62 · outbound

This paper cites Upper and Lower Bounds for Stochastic Processes: Decomposition Theorems , volume 60 of Ergebnisse der Mathematik und ihrer Grenzgebiete.

A Bayesian Proof of the Bernoulli Theorem Upper and Lower Bounds for Stochastic Processes: Decomposition Theorems , volume 60 of Ergebnisse der Mathematik und ihrer Grenzgebiete

Reference 17

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no resolver link, observed 2026-08-15T14:26:58.799213Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:26:58.799213Z digest=sha256:18503524df45bb607fa2e547ff6af6562cd52307b927e02941c6a55d8d152327

Observation 207930fb-4b03-47d1-8af2-2f647acf85cc · outbound

This paper cites Chaining: A long story.

A Bayesian Proof of the Bernoulli Theorem Chaining: A long story

Reference 18

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no resolver link, observed 2026-08-15T14:26:58.803655Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:26:58.803655Z digest=sha256:ceae0a180b44fa7bafca1d3557d221ec113a04d5fe306962cb923ac802966299

Observation 323d0bfd-a390-4220-bdea-327e86a041cd · outbound

This paper cites The Cauchy distribution in information theory.

A Bayesian Proof of the Bernoulli Theorem The Cauchy distribution in information theory

Reference 19

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no resolver link, observed 2026-08-15T14:26:58.808303Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:26:58.808303Z digest=sha256:5bf69753a2fe59c793afb8e3518276c55f6648aa88e0dc7cfa33f76d84a84ea1

Observation ae24c2ff-9768-48a6-987b-d47befd8ef14 · outbound

This paper cites Chaining, interpolation and convexity II : The contraction principle.

A Bayesian Proof of the Bernoulli Theorem Chaining, interpolation and convexity II : The contraction principle

Reference 20

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no resolver link, observed 2026-08-15T14:26:58.812972Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:26:58.812972Z digest=sha256:6ddd29af6eea78c17756a471a5dff09353698147ac2cd39c282dca0eef53ce7b

Observation c24b4989-41fe-4b4c-b68c-e22af6450a1a · outbound

This paper cites On the subgaussian comparison theorem.

A Bayesian Proof of the Bernoulli Theorem On the subgaussian comparison theorem

Reference 21

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no resolver link, observed 2026-08-15T14:26:58.817426Z

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source=arxiv_source observed=2026-08-15T14:26:58.817426Z digest=sha256:e24aedb263dc469ffb9758554dfb0e307b88371686399256fdc9474fcfe3e9e8

Observation 98cb9896-7a9a-4c57-a4de-8a85c5859e39 · outbound

This paper cites Functional properties of minimum mean-square error and mutual information.

A Bayesian Proof of the Bernoulli Theorem Functional properties of minimum mean-square error and mutual information

Reference 22

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no resolver link, observed 2026-08-15T14:26:58.822065Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:26:58.822065Z digest=sha256:2f2fb84b39ac8fb1a7fb91e230fc5394e633749c8ac4a76b57a743663ed92064

Observation 57a733b9-92b9-483a-85b0-55d7ea4195ff · outbound

This paper cites A Bayesian Proof and Interpretation of Talagrand's Majorizing Measure Theorem.

A Bayesian Proof of the Bernoulli Theorem A Bayesian Proof and Interpretation of Talagrand's Majorizing Measure Theorem

Reference 23

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no resolver link, observed 2026-08-15T14:26:58.826519Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:26:58.826519Z digest=sha256:1b2c672ded5c4fa522844dffa0c07256939171f4e211c52284324d7288ca3c82

Pith citing papers

No inbound Pith citation observations are available.