Pith. sign in

Paper Citation Record · LEDGER

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes

As of 16 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2606.22611.

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

pith.paper-citation-record.v1
2606.22611 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T09:49:19.452359Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

32 of 32 outbound references displayed

  • verified exact3
  • verified fuzzy0
  • unresolved29
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fc03f78f-e7df-4401-abbe-51383e8b0ba5 · outbound

This paper cites Adler and Jonathan E.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes Adler and Jonathan E

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:5ab4fda597d42be2f5084affb73a41a697780947fd838647c87c64b86701aac2

Observation c45721df-f613-4003-aac8-f6061a909e13 · outbound

This paper cites The Parisi formula has a unique minimizer.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes The Parisi formula has a unique minimizer

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:6957f114e05ad1182dd60e9e0e59b4ca2bf184bc8ddc8c745d82f50857e844ef

Observation d4a0a907-8ae7-40cd-95fc-1637d2a345a0 · outbound

This paper cites Bogachev, and Stanislav A.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes Bogachev, and Stanislav A

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:ac243a33bcf9b9e0c555b1a4e9fbd86ab29ba0eb7cf1b4b02ca2fdde3e7a42c4

Observation 5ee1b3b0-d624-4691-a8fd-45c0f14ca52b · outbound

This paper cites Statistical Mechanics of Disordered Systems : A Mathematical Perspective.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes Statistical Mechanics of Disordered Systems : A Mathematical Perspective

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:1bb16ec3ac837afa0a1e394c020b52b1ca8d956d94e7d6061f81a0106aca7b41

Observation 6812c2f1-8d12-4f82-81fe-a792c7b85fe9 · outbound

This paper cites Convex Optimization.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes Convex Optimization

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:cff200ab28ffb4c71514c1a005efbf1507b196049970abf2889e4d6f65612c06

Observation f1d118f3-6bb0-4110-b61b-cf36165745f2 · outbound

This paper cites Superconcentration and Related Topics.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes Superconcentration and Related Topics

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:9683d821aea43f7887ba8997c0cb8bc5020d96fe381c1f44765a92e0061b7f01

Observation 34ccf3ae-d20a-41c7-9a9f-2eaf0d0672e2 · outbound

This paper cites A unified framework for information-theoretic generalization bounds.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes A unified framework for information-theoretic generalization bounds

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:d0dd09a633f645693c6cf8a7b05a0949952df97a87372a9c7955f4d86e9873fa

Observation b72577bc-1c2d-42e5-8248-c353bc759ea4 · outbound

This paper cites Talagrand meets talagrand: upper and lower bounds on expected soft maxima of Gaussian processes with finite index sets.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes Talagrand meets talagrand: upper and lower bounds on expected soft maxima of Gaussian processes with finite index sets

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-07-04T09:39:45.967134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:6ad0b81ab4bda1db7d288763d1ee5b0e3e2ce13601a69ed9c5c088c8535eaa70

Observation da417614-8e30-4467-bbd7-230ac636807d · outbound

This paper cites Cover and Joy A.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes Cover and Joy A

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:8c68304bf8d7df5a34013002313e628b7ac026799291085ea68a1957d375b332

Observation e060d5b4-2779-466d-a25f-e8c3b86e58f4 · outbound

This paper cites Information Theory : Coding Theorems for Discrete Memoryless Systems.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes Information Theory : Coding Theorems for Discrete Memoryless Systems

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:be9349ff0d356524504c720e3c3ba1f1137fed3c9107b16f0b0d240e5060adc3

Observation 7066dcf0-147f-4e70-b29a-0b44471daa0f · outbound

This paper cites Dobrushin.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes Dobrushin

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:507ccc615049b5bfb5dcdbcc25235a3bf2fb0040d07b1fc68da599e7984d6dcc

Observation c32c6807-1655-4960-b8eb-c8eb3c006c9b · outbound

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

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes Regularit\'e des trajectoires des fonctions al\'eatoires gaussiennes

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:f457ad6bc5585a8078fdc7b8d641caf35d2c2169dccb065d79b7ae88fe006904

Observation 619b314f-5f19-4feb-b966-d24fadc0cc78 · outbound

This paper cites Caract\'erisation de processus \`a trajectoires major\'ees ou continues.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes Caract\'erisation de processus \`a trajectoires major\'ees ou continues

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:ff1ccbd0c277032d9bd31ded3ae80715dfe1fffcf37baf7ff1fac88033aceef5

Observation fb01b68a-de8f-4bf8-9b7b-4ead9375439c · outbound

This paper cites Supremum of a Process in Terms of Trees.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes Supremum of a Process in Terms of Trees

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:06033a97b2e64f2f1dae32092bee362633be37a0a86ccf5b406a0538ea832b9e

Observation 5eb69c04-c7a9-4b72-baee-008bdaad43d9 · outbound

This paper cites Broken Replica Symmetry Bounds in the Mean Field Spin Glass Model.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes Broken Replica Symmetry Bounds in the Mean Field Spin Glass Model

Reference 15

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:2bf5eb831c172a4b6a5f6014e30cd17d560f85e40e6d857c4c9949dc85f1b15c

Observation 6ed69181-44b7-46fc-9849-f6bd6c87d147 · outbound

This paper cites an unresolved cited work.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:75dd8c643029bf29679696874043fefcde21ed8c2b02ffbda158eb1624da121f

Observation d0d15497-5e91-4238-8f9c-e4f6e96f8269 · outbound

This paper cites Arbitrary source models and Bayesian codebooks in rate-distortion theory.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes Arbitrary source models and Bayesian codebooks in rate-distortion theory

Reference 17

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:051087b46f012ca590b89da979ce868640cf149ce8c75a47ffa601be61335c27

Observation cf00ec11-4c03-4b29-b0d2-b6f3cc4ebaf0 · outbound

This paper cites Simple and Sharp Generalization Bounds via Lifting.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes Simple and Sharp Generalization Bounds via Lifting

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-07-04T09:39:45.962147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:39a913944f2be0ba69e71925d3d820fa99ae2566f405ec225beb02e3ab8d11e0

Observation ed501279-0f89-4d85-bfc5-6d088bc841e0 · outbound

This paper cites MacWilliams and Neil J.A.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes MacWilliams and Neil J.A

Reference 19

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:a5e464113c7d12781a20d33bf108b722d37bcea7ff59123180fb54419561ca14

Observation d529879b-510b-4f6f-8f9b-07748a3ff15e · outbound

This paper cites On the uniform continuity of the rate-distortion function.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes On the uniform continuity of the rate-distortion function

Reference 20

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:6df64cdbc50ac7e02e146687cb1cd4cd4855b09560010be729512b5bbd6a4fa7

Observation 4ebe70a0-c4a9-4dd2-84e8-2d03f552c63d · outbound

This paper cites The Sherrington-Kirkpatrick Model.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes The Sherrington-Kirkpatrick Model

Reference 21

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:72631dbfb9d884ea5fb989adec002c4597716ac5cdc9325a590416b819fe00d1

Observation 9186bc51-2a44-43a7-8a56-b3284a27562f · outbound

This paper cites The Parisi formula for mixed p -spin models.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes The Parisi formula for mixed p -spin models

Reference 22

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:5df4c7daa17bc8546e6f032eaee4cdc9239df2c9b2f7ca102a765a250b239fc5

Observation 842e517a-241b-42bf-a36b-e76dc8b21bda · outbound

This paper cites Information Theory : From Coding to Learning.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes Information Theory : From Coding to Learning

Reference 23

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:9fdcf558194305d3719c08b8bc4330134f42112a66e426828e8050e6c731c7d9

Observation 571fbcd8-a07c-4199-9cb7-07065649f856 · outbound

This paper cites Controlling bias in adaptive data analysis using information theory.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes Controlling bias in adaptive data analysis using information theory

Reference 24

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:697d6bbe0854e27395b2ffa4f73c6a8d4b2c35abeffd1427fa8acbad70a50ab6

Observation d8046630-0671-4206-a668-1fa223f407d1 · outbound

This paper cites Entropy Bounds for Discrete Random Variables via Maximal Coupling.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes Entropy Bounds for Discrete Random Variables via Maximal Coupling

Reference 25

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:c94abeaa8b51aa155e2a9285bcc9c6268eaf454d4243d035467beac96ffec209

Observation b8c6008d-81fd-47e2-9de9-85e638412ca7 · outbound

This paper cites Regularity of gaussian processes.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes Regularity of gaussian processes

Reference 26

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:ef08c7b67a3b0a0d3db84ea5aafd9216dd2092fc2bbf744c717c01905fc1f3b5

Observation e0ec2fb1-e23a-419f-869b-188bc3008e68 · outbound

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

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes A simple proof of the majorizing measure theorem

Reference 27

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:c47a8236f3944a569d8c14c8f31df739b3225af7ad54083defd2eebc0e2534c9

Observation 1cf6040d-9345-41b5-9f48-d83c0343dbd7 · outbound

This paper cites The Parisi formula.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes The Parisi formula

Reference 28

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:9f6147b17a23522e87801a26506a62128f1656ba10d0117787afd91a3aafd7bf

Observation d5e7abb7-81ea-448d-82c6-325dd6d110ed · outbound

This paper cites Mean Field Models for Spin Glasses, Volume I: Basic Examples.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes Mean Field Models for Spin Glasses, Volume I: Basic Examples

Reference 29

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:955f94547e910d67e9b8e5f8b0716752b2d65f416b96f5a13a12270b9da6d58c

Observation da6cfe44-d27c-486e-8edc-eb1955a7ef4e · outbound

This paper cites Upper and Lower Bounds for Stochastic Processes: Modern Methods and Classical Problems.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes Upper and Lower Bounds for Stochastic Processes: Modern Methods and Classical Problems

Reference 30

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:76ec42292e76789ea1ea727570f5123722d5c02d3111a632e0d84b5eb3a48767

Observation b9a2a53c-b2af-4ffd-b766-16da89e85cdd · outbound

This paper cites On the subgaussian comparison theorem.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes On the subgaussian comparison theorem

Reference 31

Resolution
verified exact
arxiv_id, observed 2026-07-14T02:20:21.100538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:f70aa2e538511435bb55c393c07f13e1b4c25cf22da30444f3a43ca6437d3005

Observation e9dc0fce-fc31-45dd-961c-23996ed351a4 · outbound

This paper cites Information-theoretic analysis of generalization capability of learning algorithms.

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes Information-theoretic analysis of generalization capability of learning algorithms

Reference 32

Resolution
unresolved
no resolver link, observed 2026-06-26T09:49:19.452359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T09:49:19.452359Z digest=sha256:e452a3291d53712cb69cdad6dfee2df010571da99994993c254485f094a283ed

Pith citing papers

No inbound Pith citation observations are available.