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Paper Citation Record · LEDGER

A Bayesian Proof of the Bernoulli Theorem

As of 19 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 2026-08-19T06:32:44.657259+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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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:ddf8c520ca0ba647aa110ea1e9281fe166078d2b6108a6f551b1159485e00c1e

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:d8bc02ed7625b04d2e35d3bd17c2b3256199abc3f9c472d38b14e36ab9d5ebc1

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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no resolver link, observed 2026-08-15T14:26:58.734947Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:26:58.734947Z digest=sha256:50308baa6fbafcae39c8092fa7e62b75e3bc97052b61995a2ae8bc41763d6838

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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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:26:58.740307Z digest=sha256:08dc7a7c9e16cfa46631b8a20e304c5a26ffba3b98adf14e404fbaa324833984

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=sha256:3d979197e6975c1841b69ca9d63534a1b5e852384da99c4a08782c11464db0f6

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=sha256:670686da516ee3d5f257e5973a883bcb4d69ba94e7b64ffe0c037c14d24eec23

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=sha256:46019f050761e14102a1754aaa34b6501b533d2705aca44b602c2c1eea4e49c0

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=sha256:9f11b0888a7c239c3a60890afaa421ddf356611b753867ffc50aaad2681c60f3

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:ed27fb1fef7857e33167f3f53b1f4fdff1a134b9dd04273b342d4bb042b6733d

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=sha256:91cd8e3f423a2902250e7c1cb4b9e26b00305463469396eba155e1d32980a73f

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T14:26:58.772432Z digest=sha256:81cc18bb476b87291ad07aadadc8c124780c3b47af56b26e19368e78a318377d

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=sha256:787427c79003c66ba3326e5cdae16f01cad44eb5b81c09cd24a7e5d6fa15fb0a

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:26:58.781657Z digest=sha256:c434baab286172c581c9a021ade1ede672ae7e8c4e12bbf773226051445fdfee

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=sha256:33a74cea42fff9ed1af774a6ac74b9fcdadb19199d719800da69f561b30f4c6e

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:c7b66c1200f236c59473518ca4eb31cc15817186b41de004f9830d37c31c503c

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=sha256:8bde12d628d0e24f3dce9e8439333eb09135e389f83bfe22c8f7b5f211399a58

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=sha256:1f34aa655d095932bb9bbc4465628bf53e89289ae51c2bef80751e6693e5ceb7

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=sha256:215a66b72dd5f958bc56b6412dbabe47ececb544a090d962e1b035a45520cfaa

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:cf21bda08837416ea8f5a7d53521fa427ec0599a361b18504edd04eec211c516

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=sha256:9d5f5da2dc14d8ed96754400467e09dc4487e97e53e18bac636ecbf24c6272cc

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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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:26:58.817426Z digest=sha256:9d488d6183d0089f83ac0e6774a5d9843c3216732bb97c2db1ce22427f649af0

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=sha256:514ee0fec3cd86a5cf861d29f54eadcf33396ad2793c2bd337218d1bf7b9ec54

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:26:58.826519Z digest=sha256:560ff7e9bce3a542df607f89c0db61bde14730919b385ca9c7520aca97c89ba7

Pith citing papers

No inbound Pith citation observations are available.