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Paper Citation Record · LEDGER

PIKS: Universal Physics-Informed Kernel Methods

As of 8 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2607.27062.

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

pith.paper-citation-record.v1
2607.27062 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-30T12:20:58.305390Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

12 of 12 outbound references displayed

  • verified exact2
  • verified fuzzy0
  • unresolved9
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 12515993-8d2c-4d80-8322-202c1eb5c483 · outbound

This paper cites Joel A Tropp.

PIKS: Universal Physics-Informed Kernel Methods Joel A Tropp

Reference 11

Resolution
unresolved
no resolver link, observed 2026-07-30T12:20:58.191063Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T12:20:58.191063Z digest=sha256:4bba3edc72e66e44ff508d67090c45ee8bc85f9787e7eaabd63ac3f28219e163

Observation 68766fd3-3fe6-4636-a7a4-bc113dc7c905 · outbound

This paper cites doi: https: //doi.org/10.1016/j.jcp.2021.110768.

PIKS: Universal Physics-Informed Kernel Methods doi: https: //doi.org/10.1016/j.jcp.2021.110768

Reference 12

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unresolved
no resolver link, observed 2026-07-30T12:20:58.305390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T12:20:58.305390Z digest=sha256:7ff3c900e4262334a6a7b9afa7dd7290ff4b006a63dbda61756c8c95738b400f

Observation 524dbd2f-9267-4490-bef3-a012ad1d8733 · outbound

This paper cites Alfio Quarteroni, Paola Gervasio, and Francesco Regazzoni.

PIKS: Universal Physics-Informed Kernel Methods Alfio Quarteroni, Paola Gervasio, and Francesco Regazzoni

Reference 1990

Resolution
verified exact
doi, observed 2026-07-30T12:26:22.839796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-30T12:20:57.533746Z digest=sha256:854a6ae09786a1284f3b629b69fe1d8e2f86bf90edb037f68e79328052759bb7

Observation ea2f5d28-fb9c-46f7-ad70-64fed6962dc2 · outbound

This paper cites optimum bounds for the distributions of martingales in banach spaces.

PIKS: Universal Physics-Informed Kernel Methods optimum bounds for the distributions of martingales in banach spaces

Reference 1994

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unresolved
no resolver link, observed 2026-07-30T12:20:57.458699Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T12:20:57.458699Z digest=sha256:ef40d81e3b81759272e117c2d268a8b773eca447a73dd66896cad7811062cc99

Observation 24767097-0130-408c-a135-a32e16465a73 · outbound

This paper cites Bharath K Sriperumbudur, Kenji Fukumizu, and Gert RG Lanckriet.

PIKS: Universal Physics-Informed Kernel Methods Bharath K Sriperumbudur, Kenji Fukumizu, and Gert RG Lanckriet

Reference 1998

Resolution
verified exact
doi, observed 2026-07-30T12:26:22.736965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-30T12:20:58.091948Z digest=sha256:056faf5dc20c7ff2ffb4ff88a0e4e7305251aec9a1d8e7fcfc6faef78ad9b9f0

Observation dfee6ccf-3b7c-49e7-97c0-5431f7602a92 · outbound

This paper cites Solvingpartialdifferentialequationsbycollocationwithradialbasisfunctions.

PIKS: Universal Physics-Informed Kernel Methods Solvingpartialdifferentialequationsbycollocationwithradialbasisfunctions

Reference 2010

Resolution
unresolved
no resolver link, observed 2026-07-30T12:20:57.369597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T12:20:57.369597Z digest=sha256:b49b1ae23cb7b76d1209cd2aabf0de3418015cfea88b9e94bedd60bd06633b98

Observation 3a4daba6-f9b6-440b-a4e7-592158b60fb2 · outbound

This paper cites Analysis of p-laplacian regularization in semisupervised learn- ing.SIAM Journal on Mathematical Analysis, 51(3):2085–2120,.

PIKS: Universal Physics-Informed Kernel Methods Analysis of p-laplacian regularization in semisupervised learn- ing.SIAM Journal on Mathematical Analysis, 51(3):2085–2120,

Reference 2018

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unresolved
no resolver link, observed 2026-07-30T12:20:57.992069Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T12:20:57.992069Z digest=sha256:6188e7530171f66615ae8e5d1df1449eef910f58b65531f831c9c91f3ae76fa5

Observation f2658cc8-e211-4c57-a78b-f9a4e6613819 · outbound

This paper cites Carl-Johann Simon-Gabriel and Bernhard Schölkopf.

PIKS: Universal Physics-Informed Kernel Methods Carl-Johann Simon-Gabriel and Bernhard Schölkopf

Reference 2020

Resolution
unresolved
no resolver link, observed 2026-07-30T12:20:57.877376Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T12:20:57.877376Z digest=sha256:113a9a467dcc4369db94b8ff12f05a79e74a8a75de5811f07db4bd6068bcd6e8

Observation 53fa20cd-de12-4e62-b961-d5bfe196a34f · outbound

This paper cites Challenges in Training PINNs: A Loss Landscape Perspective.

PIKS: Universal Physics-Informed Kernel Methods Challenges in Training PINNs: A Loss Landscape Perspective

Reference 2022

Resolution
unresolved
no resolver link, observed 2026-07-30T12:20:57.824150Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T12:20:57.824150Z digest=sha256:00b31ec66aca202f2dd46dc32e4e8e17ebf041bdd17099ad3973b81aceb8565a

Observation c2f0e92f-b6eb-4f14-828b-4c0c52f412eb · outbound

This paper cites Pau Batlle, Yifan Chen, Bamdad Hosseini, Houman Owhadi, and Andrew M Stuart.

PIKS: Universal Physics-Informed Kernel Methods Pau Batlle, Yifan Chen, Bamdad Hosseini, Houman Owhadi, and Andrew M Stuart

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-07-30T12:20:57.135484Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T12:20:57.135484Z digest=sha256:adb2a5d59a1fb808e49bdeb14429c822630d1b078639d99aaf7ba054de19556d

Observation d5673e30-789b-438a-9034-997eee8ac92c · outbound

This paper cites Fast kernel methods: Sobolev, physics-informed, and additive models.

PIKS: Universal Physics-Informed Kernel Methods Fast kernel methods: Sobolev, physics-informed, and additive models

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-07-30T12:20:57.284440Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T12:20:57.284440Z digest=sha256:65a57dde4b81e153fe647bbe83671860f98ae58a7126716dd87119b611160f9f

Observation eb64b935-afc5-4edd-bb02-370804380204 · outbound

This paper cites Universal Differential Equations for Scientific Machine Learning.

PIKS: Universal Physics-Informed Kernel Methods Universal Differential Equations for Scientific Machine Learning

Reference 2025

Resolution
malformed identifier
no resolver link, observed 2026-07-30T12:20:57.735906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T12:20:57.735906Z digest=sha256:5472d132265ee6e46e706c4099f0fdb05003368738c43bcd5f85a47f6e67f13c

Pith citing papers

No inbound Pith citation observations are available.