Pith. sign in

Paper Citation Record · LEDGER

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes

As of 16 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:1908.10299.

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

pith.paper-citation-record.v1
1908.10299 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:55:10.361708Z

measured 25 of 25 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

25 of 25 outbound references displayed

  • verified exact4
  • verified fuzzy21
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6069c739-be18-4efa-b541-517a5343a504 · outbound

This paper cites Asymptotic behavior of the spectrum of weakly polar integral operators.

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes Asymptotic behavior of the spectrum of weakly polar integral operators

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:55:10.977728Z

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=pdf_text observed=2026-08-14T10:55:10.201618Z digest=sha256:a1a9c02e5400b7bc4864499df62f47c0d7d615704b177597c81b989d1792c588

Observation 6e97e946-de98-40df-a22a-e09d408ccd8c · outbound

This paper cites Quantitative analysis in Sobolev imbed- ding theorems and applications to spectral theory.

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes Quantitative analysis in Sobolev imbed- ding theorems and applications to spectral theory

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:55:10.958873Z

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=pdf_text observed=2026-08-14T10:55:10.209805Z digest=sha256:84608c381e474664402508039d116a0f13ecd008be4adf1541223a01f39b83a7

Observation 753df36a-320a-4551-8f58-acc4a06023ce · outbound

This paper cites Spectral theory of self -adjoint operators in Hilbert space, 2nd ed., revised and extended.

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes Spectral theory of self -adjoint operators in Hilbert space, 2nd ed., revised and extended

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:55:10.940374Z

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=pdf_text observed=2026-08-14T10:55:10.215591Z digest=sha256:cf52c055a37743fea2531c60689c3f3bdf39ad094be80e3683cd4ffc37017d26

Observation 181c3fdf-ae43-4f7f-86f3-e8faaa0f7d78 · outbound

This paper cites Small ball constants and tight eigenvalue asymptotics for frac- tional Brownian motions.

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes Small ball constants and tight eigenvalue asymptotics for frac- tional Brownian motions

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:55:10.916401Z

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=pdf_text observed=2026-08-14T10:55:10.221812Z digest=sha256:dc90028ef9e609378ae6b90e15157497e58ddf46c919ddf31b6f00027b914f0a

Observation e49bdca4-462c-4ddc-9124-622d3345e143 · outbound

This paper cites Fractiona l Ornstein– Uhlenbeck processes.

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes Fractiona l Ornstein– Uhlenbeck processes

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:55:10.890985Z

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=pdf_text observed=2026-08-14T10:55:10.229123Z digest=sha256:54b3923d6663d1b2f6cb0f7269492dce70cf28a0f953f937b882115c33fa69a3

Observation 7fa598af-2694-4aef-b29b-35f3857103ed · outbound

This paper cites Exact Asymptotics in Ei genproblems for Fractional Brownian Covariance Operators.

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes Exact Asymptotics in Ei genproblems for Fractional Brownian Covariance Operators

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:55:10.868795Z

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=pdf_text observed=2026-08-14T10:55:10.234619Z digest=sha256:3b55da590647569301c570a735470393da2e8c04db4283b3d4055fd841bc173e

Observation 8121c983-3785-417c-a4b2-a248c39fdc61 · outbound

This paper cites On the eigenproblem for Gaussian bridges.

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes On the eigenproblem for Gaussian bridges

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-14T10:55:10.524356Z

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=pdf_text observed=2026-08-14T10:55:10.241927Z digest=sha256:952c952c3883473d12291d5f734358812fd61609433fe8baa5e3e1cf1a603609

Observation 5d4b6f09-4a08-45a6-bb3f-154d1a2518cb · outbound

This paper cites Exact spectral asymptotics of fractional processes.

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes Exact spectral asymptotics of fractional processes

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-14T10:55:10.497625Z

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=pdf_text observed=2026-08-14T10:55:10.249183Z digest=sha256:ad5e1fa4737549e220bf8323f6e5c04d700aff8389b4c86ba66274db4d0c99f7

Observation d26e5a68-76fc-4c74-9139-da2f31eb1b69 · outbound

This paper cites Comparison theorems for small devia- tions of random series.

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes Comparison theorems for small devia- tions of random series

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:55:10.847071Z

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=pdf_text observed=2026-08-14T10:55:10.255638Z digest=sha256:e6965aa847f0ce7a00656d2721e4fcf4ac8e974d062fa0b1276947d5f128bb0e

Observation c5e329f9-2e88-41a8-893b-9fbd699ed80c · outbound

This paper cites Tables of integrals , sums, series and products, 5th ed.

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes Tables of integrals , sums, series and products, 5th ed

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:55:10.825882Z

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=pdf_text observed=2026-08-14T10:55:10.261369Z digest=sha256:df73925a9936f2182f2261ed87901a635531e87b12eba8093e40a19d02b85ee5

Observation d77ceae5-417f-46aa-9bfd-9f9a2700b266 · outbound

This paper cites Comparison results for the lower tail of Gaussi an seminorms.

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes Comparison results for the lower tail of Gaussi an seminorms

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:55:10.800123Z

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=pdf_text observed=2026-08-14T10:55:10.266702Z digest=sha256:4ef6120715cd90a4b545e40f8be94c0ed67e74aea352761fcb8bd2b532d86d59

Observation 46d3766a-4582-4d2d-af06-3c7bd3b044d4 · outbound

This paper cites Survival Exponents for Some Gaussian Proce sses.

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes Survival Exponents for Some Gaussian Proce sses

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:55:10.781692Z

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=pdf_text observed=2026-08-14T10:55:10.272218Z digest=sha256:b8209d7fce687e2f114b761c5c130947bacf72b1c0440e242f37ec1f08ee0397

Observation bdba15b0-68c5-4186-acb3-2a13097162f7 · outbound

This paper cites Linear Differential Operators.

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes Linear Differential Operators

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:55:10.764376Z

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=pdf_text observed=2026-08-14T10:55:10.278071Z digest=sha256:85fba3511438c1760134988af872e05b266fd4b8093d35faa0ac5327e46982f2

Observation 34fcfed2-a359-4323-8bbe-efc67d6b823b · outbound

This paper cites Log-level comparison principle for smal l ball probabilities.

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes Log-level comparison principle for smal l ball probabilities

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:55:10.745726Z

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=pdf_text observed=2026-08-14T10:55:10.283628Z digest=sha256:3ad76ec14f2d087f7d83b20d4c3a10c006008dd9046aaef50f025914074ea59d

Observation f1daf3f8-f289-4873-84e0-82dab7556700 · outbound

This paper cites Exact L2-Small Ball Asymptotics of Gaussian Processes and the Spectrum of Boundary-Value Problems.

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes Exact L2-Small Ball Asymptotics of Gaussian Processes and the Spectrum of Boundary-Value Problems

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:55:10.726998Z

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=pdf_text observed=2026-08-14T10:55:10.289307Z digest=sha256:a20f6c01e6bc2c1062ada88155bb0f64e837ee8a2080d6fb568d52165f5c2ce5

Observation 4c908e72-154c-45f3-80e0-70a064bc94db · outbound

This paper cites On a set of transformations of Gaussian ra ndom functions.

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes On a set of transformations of Gaussian ra ndom functions

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:55:10.701799Z

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=pdf_text observed=2026-08-14T10:55:10.297240Z digest=sha256:dfc843f056ace50a00b4a64fb70aa533026da9cdb6a825cd5781ebc097baef9b

Observation 69252a13-82ac-4df0-9c2d-2749eb5b2492 · outbound

This paper cites Some lemmata on the perturbation of the spectrum.

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes Some lemmata on the perturbation of the spectrum

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-14T10:55:10.471174Z

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=pdf_text observed=2026-08-14T10:55:10.305012Z digest=sha256:54de0b32bee493613facf70c578fd09c428db24192d6da54e90c4a2f03cf2ac1

Observation 5c0fc727-91b6-4bf5-9a1c-ba0ff7858fb4 · outbound

This paper cites Exact small ball beh avior of integrated Gaussian processes under L2-norm and spectral asymptotics of boundary value problems.

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes Exact small ball beh avior of integrated Gaussian processes under L2-norm and spectral asymptotics of boundary value problems

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:55:10.681827Z

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=pdf_text observed=2026-08-14T10:55:10.312074Z digest=sha256:4bf8cb309fcfa3a74f7e337bf6bc59313d28b089a1361413636a77b1f2177228

Observation 4ab6c1d9-a746-4d07-922f-5f6e31c261da · outbound

This paper cites Logarithmic L2-small ball asymptotics for some fractional Gaussian processes.

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes Logarithmic L2-small ball asymptotics for some fractional Gaussian processes

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:55:10.662347Z

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=pdf_text observed=2026-08-14T10:55:10.317315Z digest=sha256:cf951e6f1497a1958609bb58cbf7315fb8209150f7ff6c279eee94cb2ae394c1

Observation d6c9e248-4fc3-408e-91cc-a71c5848aae7 · outbound

This paper cites On Small Deviation A symptotics in L2 of Some Mixed Gaussian Processes.

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes On Small Deviation A symptotics in L2 of Some Mixed Gaussian Processes

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:55:10.639082Z

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=pdf_text observed=2026-08-14T10:55:10.323369Z digest=sha256:aa2f7c66e08a0a6df194dd16170fa6bb7de0fad3aaf865699679e6dce7204774

Observation 111c3e07-cdc6-4360-b23c-db5ff0e5d89a · outbound

This paper cites The small ball asympt otics in Hilbertian norm for the Kac–Kiefer–Wolfowitz processes.

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes The small ball asympt otics in Hilbertian norm for the Kac–Kiefer–Wolfowitz processes

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:55:10.614867Z

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=pdf_text observed=2026-08-14T10:55:10.331539Z digest=sha256:a4dcd1499f4d8250cac34fc1e4befedd27bc013863acd575924bb5fa5efd3fe1

Observation 0ec35cac-52b5-4406-9ea2-f82ee337e601 · outbound

This paper cites Sharp small ball asy mptotics for Slepian and Watson processes in Hilbert norm.

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes Sharp small ball asy mptotics for Slepian and Watson processes in Hilbert norm

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:55:10.585381Z

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=pdf_text observed=2026-08-14T10:55:10.338095Z digest=sha256:d2417179a278c66012ca15f7582a2d30bfe56c3d1d1bce2e22bfe0d0beaf0b76

Observation af901bd9-ffda-429f-af21-b00878d2f9de · outbound

This paper cites Asymptotic behavior of the spectrum and eigenfunctions of convolution operators on a finite interval with the kernel ha ving a homoge- neous Fourier transform.

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes Asymptotic behavior of the spectrum and eigenfunctions of convolution operators on a finite interval with the kernel ha ving a homoge- neous Fourier transform

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:55:10.565923Z

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=pdf_text observed=2026-08-14T10:55:10.346853Z digest=sha256:b8eae7a24286281220e46a90aa12956443d1b75a0d4cc60df90b43f0b46f4e69

Observation 8288b8e7-f538-4450-a272-e72de693363f · outbound

This paper cites $L_2$-small ball asymptotics for a family of finite-dimensional perturbations of Gaussian functions.

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes $L_2$-small ball asymptotics for a family of finite-dimensional perturbations of Gaussian functions

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-14T10:55:10.444204Z

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=pdf_text observed=2026-08-14T10:55:10.353533Z digest=sha256:ece11b5825dbd2a921351dfd269f194bb438075a069540fea6eb29d3f0852a18

Observation 7b5a442b-3869-4038-8ef1-e33f066272fc · outbound

This paper cites Asymptotic distribution of eigenvalues of the kernel in the Kirkwood–Riseman integral equation.

Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes Asymptotic distribution of eigenvalues of the kernel in the Kirkwood–Riseman integral equation

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:55:10.546718Z

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=pdf_text observed=2026-08-14T10:55:10.361708Z digest=sha256:b06d28e38abbf974f5604e05daa440cf2518c7d17877018b24f341b8d0189f50

Pith citing papers

No inbound Pith citation observations are available.