Pith. sign in

Paper Citation Record · LEDGER

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance

As of 20 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2607.21392.

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

pith.paper-citation-record.v1
2607.21392 v3

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T02:02:32.562576Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved26
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ab57506a-00f7-4fa8-a37e-4c50e7a82b4d · outbound

This paper cites an unresolved cited work.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.495500Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.495500Z digest=sha256:4324b0d57888c89b082e60f0e7de750a79b9505424f470d1f3ea1fa67ff6e77f

Observation 02c66d13-91d5-405b-ace3-d612b3cffc9a · outbound

This paper cites Free-energy fluctuations and chaos in the sherrington-kirkpatrick model.Phys.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance Free-energy fluctuations and chaos in the sherrington-kirkpatrick model.Phys

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.499207Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.499207Z digest=sha256:4ad68dada22ab9ef25bcfec70f3bffd5a2a86694b728e2a5eeaa667dba3e8e4d

Observation 571929be-0e56-45e6-a1ba-c32c1da2a07b · outbound

This paper cites Fluctuations of the free energy of the spherical sherrington–kirkpatrick model.J.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance Fluctuations of the free energy of the spherical sherrington–kirkpatrick model.J

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.502256Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.502256Z digest=sha256:86360f66aef7a4aac56c494f3c40ec8f61770f22a232c6084b647605946b80f9

Observation 8cc22cc4-fd90-4e55-8db2-b6938bfec8ff · outbound

This paper cites The ehrhard inequality.C.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance The ehrhard inequality.C

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.505100Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.505100Z digest=sha256:ed16d851d8cfa5d157a638814d3a2c0c66553ad6b62320822d03ef01818828cc

Observation 786d1917-7f6c-482b-b712-db24e8326831 · outbound

This paper cites On the partition function of a directed polymer in a gaussian random environment.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance On the partition function of a directed polymer in a gaussian random environment

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.508202Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.508202Z digest=sha256:7e3567810888cae023df02d954907825d3c257e38f4ff1519bbfc50062ccf71c

Observation 0304d49a-e05d-4b1c-8747-41cf7fbe073b · outbound

This paper cites A Gaussian convexity for logarithmic moment generating functions with applications in spin glasses.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance A Gaussian convexity for logarithmic moment generating functions with applications in spin glasses

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.510894Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.510894Z digest=sha256:b9b0b1587201b8d94ccc43697fa4964d84dc4b3cda0a1496ce39be464b220842

Observation 201a537d-7172-4769-b501-dcea435fa9a7 · outbound

This paper cites Order of fluctuations of the free energy in the SK model at critical temperature.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance Order of fluctuations of the free energy in the SK model at critical temperature

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.513929Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.513929Z digest=sha256:f44eebf08878213bb4eedc39864776a38b6b7c79a331e669efca61a77ce35bfe

Observation 83b7cf35-472d-45c1-acaa-facfb3568510 · outbound

This paper cites Fluctuations for the sherrington–kirkpatrick spin glass model near the critical tem- perature.arXiv preprint arXiv:2603.05636, 2026.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance Fluctuations for the sherrington–kirkpatrick spin glass model near the critical tem- perature.arXiv preprint arXiv:2603.05636, 2026

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.516439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.516439Z digest=sha256:0b020b89d959a5e756f9007e9c39c01fe87412a33454671ae597e51c73c840c2

Observation 09ec24d4-8e09-452e-acb8-ef2f8d882cbe · outbound

This paper cites On multiple peaks and moderate deviations for the supremum of a Gaussian field.Ann.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance On multiple peaks and moderate deviations for the supremum of a Gaussian field.Ann

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.519045Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.519045Z digest=sha256:d3564b088cffafe31d19b6080439905ad66080a07084b1549d7e63bb57f7150e

Observation ba0dac7e-2157-4bcd-a5a6-f47b405209fd · outbound

This paper cites Fluctuations of the Sherrington-Kirkpatrick free energy at critical temperature.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance Fluctuations of the Sherrington-Kirkpatrick free energy at critical temperature

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.521610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.521610Z digest=sha256:d762da8d5810b8e4f6cad2ed8886a47f5f7d2f95900ada49004c3a27227d35bf

Observation d4e1205e-77e4-4b5c-9611-2d1b224ac787 · outbound

This paper cites Symétrisation dans l’espace de Gauss.Math.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance Symétrisation dans l’espace de Gauss.Math

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.524548Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.524548Z digest=sha256:0718ee724d43dd5c0ce3affc23b7b7b2516ecb8a5c9332e41f8b768823c840d5

Observation fd61a0bc-9666-463d-89c4-c7512a2bb737 · outbound

This paper cites Forrester.Log-Gases and Random Matrices, volume 34 ofLondon Mathematical Society Monographs Series.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance Forrester.Log-Gases and Random Matrices, volume 34 ofLondon Mathematical Society Monographs Series

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.527345Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.527345Z digest=sha256:689dfc535552d319098d9226dd471ea7fb45f9503c6987dec06d835473881085

Observation 172c48f3-7e96-42a0-80be-07915d6fa375 · outbound

This paper cites Mutual information and minimum mean-square error in gaussian channels.IEEE Trans.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance Mutual information and minimum mean-square error in gaussian channels.IEEE Trans

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.530041Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.530041Z digest=sha256:24c945b99cb6bb8f59a85822d91339689b75d3bcce0be9392b6108cc8c5ab389

Observation e05ea0cd-0e09-4253-8970-69ed7610d8e5 · outbound

This paper cites A point process describing the component sizes in the critical window of the random graph evolution.Combin.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance A point process describing the component sizes in the critical window of the random graph evolution.Combin

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.532479Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.532479Z digest=sha256:6d8323a166f5ce746c767d8276faeeac7eaec595d5578dea6b302a62db25b5ed

Observation 22278144-cced-40a4-b8d5-dea1f6119370 · outbound

This paper cites Virasoro.Spin Glass Theory and Beyond: An Introduction to the Replica Method and Its Applications, volume 9 ofWorld Scientific Lecture Notes in Physics.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance Virasoro.Spin Glass Theory and Beyond: An Introduction to the Replica Method and Its Applications, volume 9 ofWorld Scientific Lecture Notes in Physics

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.534878Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.534878Z digest=sha256:9078a9f482ded7a62fba1fb3acc361b07c40d07d7ab0cafdfb04426712d2723c

Observation 81250709-cf3a-49d3-9847-fe4bef030c46 · outbound

This paper cites Springer Monographs in Mathematics.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance Springer Monographs in Mathematics

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.537607Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.537607Z digest=sha256:26a04f6a6f6a10d019c26a81a50a3d840a763c7b71c5a389793868ee8092b422

Observation 35282309-e7e9-4132-b0bc-cd040eccb1c5 · outbound

This paper cites The parisi formula for mixedp-spin models.Ann.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance The parisi formula for mixedp-spin models.Ann

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.539911Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.539911Z digest=sha256:66b1b9c80ef3d73225c1fe657375e4d9625f31397f51c2131d4d538b66d5e578

Observation 792f0a3b-cb93-4a27-8793-599bb3fe3b03 · outbound

This paper cites A gaussian small deviation inequality for convex functions.Ann.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance A gaussian small deviation inequality for convex functions.Ann

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.542333Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.542333Z digest=sha256:87295ce2462f76fca9ece4cfb73a296475121f629d74b341abdd8c997a53c48f

Observation 7ec03be6-b697-4497-a229-8e5e9a9511a2 · outbound

This paper cites Phase diagram and large deviations in the free energy of mean-field spin-glasses.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance Phase diagram and large deviations in the free energy of mean-field spin-glasses

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.544772Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.544772Z digest=sha256:1e2671ad0ebf7520a910f68da8087552643052cd456b0de941ba6e31b53ffdb0

Observation 28951f35-0893-4d5a-bbce-da42a5579082 · outbound

This paper cites Ramírez, Brian Rider, and Bálint Virág.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance Ramírez, Brian Rider, and Bálint Virág

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.547403Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.547403Z digest=sha256:17370e82e09056b6429dc816f75c3be756478de23719a0c8879930dd260fc431

Observation 6aa45cc6-20c6-4455-a472-34f8019b3d23 · outbound

This paper cites The Order of Free Energy Fluctuations in the Critical Sherrington-Kirkpatrick Model Revisited.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance The Order of Free Energy Fluctuations in the Critical Sherrington-Kirkpatrick Model Revisited

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.549868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.549868Z digest=sha256:e8cbbe8537ddb0f5cfcd9ecd6a86cf14f0f6191aaa752c2bc01a44b08a4cd014

Observation 846c89c1-da9d-4233-8905-cd63966c8fe7 · outbound

This paper cites Solvable model of a spin-glass.Phys.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance Solvable model of a spin-glass.Phys

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.552548Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.552548Z digest=sha256:7f3e300930e5df43716cc6f0a52b79f5d681a5ff41f6f8201827b1c9ba799f8c

Observation ff5bb83c-045c-428c-949e-7499a4d4aa17 · outbound

This paper cites an unresolved cited work.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.555072Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.555072Z digest=sha256:1ba6199a94c983cd9782300d60be4cf61948ffd38da586ab94ad7fb803e9e842

Observation 920f93a1-2c49-493b-b847-486a707ccb45 · outbound

This paper cites Volume I: Basic Examples, volume 54 ofErgebnisse der Math- ematik und ihrer Grenzgebiete.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance Volume I: Basic Examples, volume 54 ofErgebnisse der Math- ematik und ihrer Grenzgebiete

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.557559Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.557559Z digest=sha256:6b74fbf25071f14d7d9fbc77c07adb7c6c28ff386e1b2cd4cfdfbdfa5a841a7d

Observation 3f1563bf-a98c-4511-9c8d-53e1af50a1de · outbound

This paper cites Volume II: Advanced Replica-Symmetry and Low Temperature, volume55ofErgebnisse der Mathematik und ihrer Grenzgebiete.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance Volume II: Advanced Replica-Symmetry and Low Temperature, volume55ofErgebnisse der Mathematik und ihrer Grenzgebiete

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.559983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.559983Z digest=sha256:2b04a18c5442426c25320f5eae5726856daebc923760f7bc973ba5ac493cc238

Observation 3b070ce9-eb04-4ec8-9049-6e4e3dde3f0f · outbound

This paper cites Cambridge University Press, Cambridge, 2018.

Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance Cambridge University Press, Cambridge, 2018

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-03T02:02:32.562576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:02:32.562576Z digest=sha256:3e571c9a7a7d9e097228f4d20f8806cffc799c5008b64aec60faaa6527e8b8e7

Pith citing papers

No inbound Pith citation observations are available.