Pith. sign in

Paper Citation Record · LEDGER

Barron regularity of many particle Schr\"odinger eigenfunctions

As of 19 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:2508.17722.

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

pith.paper-citation-record.v1
2508.17722 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:17:36.176034Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-03T09:13:08.778430Z

measured 1 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

35 of 35 outbound references displayed

  • verified exact2
  • verified fuzzy16
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 9ab732d8-066d-4bc8-a05e-d332cc7334c8 · outbound

This paper cites an unresolved cited work.

Barron regularity of many particle Schr\"odinger eigenfunctions Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:17:36.797194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.027012Z digest=sha256:b7b3d3043ab4346609d3ceb6919cec17a5a9c478fd155d1a211d078a9b82a97c

Observation 408a6d84-2187-457d-9576-9a5cd3e0bf78 · outbound

This paper cites an unresolved cited work.

Barron regularity of many particle Schr\"odinger eigenfunctions Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:17:36.782617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.031902Z digest=sha256:d144ce84996286e20842cdf3b1fd6c5e77fa4213265f3c35472678c9397a9127

Observation f35184f1-fb08-47cf-9643-4ca93355694b · outbound

This paper cites an unresolved cited work.

Barron regularity of many particle Schr\"odinger eigenfunctions Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:17:36.767562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.036390Z digest=sha256:0e1afe1a6ec6eeb7b5e75e530b0b2f6725f985ab75ffd62387dce35b92913eb2

Observation 08c6e526-96fd-4e00-9172-f225105f3712 · outbound

This paper cites Cai and J.

Barron regularity of many particle Schr\"odinger eigenfunctions Cai and J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:17:36.754154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.040881Z digest=sha256:2cfa37e0da9a132bea9662c5159dc30fb309f11003d815ace108ff3cb2667d8b

Observation 6c83e99f-1d98-4454-841f-8b48441439e7 · outbound

This paper cites Carleo and M.

Barron regularity of many particle Schr\"odinger eigenfunctions Carleo and M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:17:36.740531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.045092Z digest=sha256:735f835811340fe3c6c414578c74ed0d501f7d0a6ea7ddc8412651532178c813

Observation 3273b5b0-0c15-4eea-bf23-230eade9f660 · outbound

This paper cites an unresolved cited work.

Barron regularity of many particle Schr\"odinger eigenfunctions Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:17:36.725993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.049313Z digest=sha256:c326675fb54cdfec841373a96590b03d5163309452a3712ef9423cae40611f91

Observation 9ab1f6b0-a374-4348-b844-36c624ca367e · outbound

This paper cites an unresolved cited work.

Barron regularity of many particle Schr\"odinger eigenfunctions Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:17:36.712195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.054037Z digest=sha256:6d2d3880638bba22638e4254790ba9d67aa2a272961d43e2e2675ff756f7b024

Observation d4c18e3f-faf4-4953-86f3-32ae09af204d · outbound

This paper cites Two-layers neural networks for Schr{\"o}dinger eigenvalue problems.

Barron regularity of many particle Schr\"odinger eigenfunctions Two-layers neural networks for Schr{\"o}dinger eigenvalue problems

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-15T17:17:36.058173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:17:36.058173Z digest=sha256:32773874b1df9258bdb1681af2694e53ff6324a1e8a236465fe8da30393b9ea6

Observation 71ba9ed4-18cc-4de9-be14-d2215f798a63 · outbound

This paper cites an unresolved cited work.

Barron regularity of many particle Schr\"odinger eigenfunctions Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:17:36.697291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.062629Z digest=sha256:31f0fc22ed84726c1ea036db6f1b49a99a572f30da436fc45acefa13e72b52ff

Observation 9eb52615-066d-47d4-ad44-474f7333498a · outbound

This paper cites Feng and J.

Barron regularity of many particle Schr\"odinger eigenfunctions Feng and J

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-15T17:17:36.066728Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:17:36.066728Z digest=sha256:8317f53c52a25de78065f4fe5d7753856b39611951c39f35dbec79108b08e278

Observation ea167f80-9cc8-4303-9d15-ae0de4efadd1 · outbound

This paper cites Folland, Introduction to Partial Differential Equations, Princeton University Press, Princeton New Jersey, 1995.

Barron regularity of many particle Schr\"odinger eigenfunctions Folland, Introduction to Partial Differential Equations, Princeton University Press, Princeton New Jersey, 1995

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:17:36.680804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.070950Z digest=sha256:e9512af985dafe4e01f76e3530cdf5880efaf01116f739931e2b129886774845

Observation c5c78f61-a095-4737-886f-73a6d63d43a1 · outbound

This paper cites Fournais, M.

Barron regularity of many particle Schr\"odinger eigenfunctions Fournais, M

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:17:36.666443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.075352Z digest=sha256:0d771a19b4a89e86f231864bf21cb700ed3abbf92854deb234273f7d05742be8

Observation d3b63415-c0e7-47e7-aa27-5134396891df · outbound

This paper cites an unresolved cited work.

Barron regularity of many particle Schr\"odinger eigenfunctions Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:17:36.652698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.079394Z digest=sha256:ae5bdf2c61939fa8b26b901105a6c4b6dc7302ad8e6974f00730306f290501ce

Observation 258fd6a6-1d2d-4962-b124-44f126507162 · outbound

This paper cites Gao and L.

Barron regularity of many particle Schr\"odinger eigenfunctions Gao and L

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:17:36.639451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.083327Z digest=sha256:cab39f39e574f9017a5f1fc42e1911f1139b34dc9911864088e89727a999f427

Observation aefdb304-29fd-447f-9574-b668982f8731 · outbound

This paper cites Generalization Error Estimates of Machine Learning Methods for Solving High Dimensional Schr\"odinger Eigenvalue Problems.

Barron regularity of many particle Schr\"odinger eigenfunctions Generalization Error Estimates of Machine Learning Methods for Solving High Dimensional Schr\"odinger Eigenvalue Problems

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-15T17:17:36.254756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.087712Z digest=sha256:b198fbf91dd35a36004021bb7ae06d644937762d0c6a9c8e31d46ab9057d639e

Observation e9778a1a-a670-412b-aed2-a1fd4a39378e · outbound

This paper cites an unresolved cited work.

Barron regularity of many particle Schr\"odinger eigenfunctions Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:17:36.626199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.092128Z digest=sha256:b32aa97df023db632f0e5ad9d23667023e0397223cb8e90fa271c8de8d8007b4

Observation 200ca43d-aad7-4eba-a82f-dc8737214ddd · outbound

This paper cites an unresolved cited work.

Barron regularity of many particle Schr\"odinger eigenfunctions Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:17:36.612466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.097246Z digest=sha256:145a20d71eba55b3f13561069bcfd92e179588a12e0d1715ab1649ddc1ebbb41

Observation 39de4f5d-32ed-4d2f-b5f9-b8f2c3c51e8f · outbound

This paper cites Hermann, Z.

Barron regularity of many particle Schr\"odinger eigenfunctions Hermann, Z

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:17:36.598053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.101731Z digest=sha256:97912062941b7aeafd1cb601e089086717c9152c345f0346aa051bf73482d5e7

Observation 825c342c-9bd5-4f12-a58e-9dc9818643eb · outbound

This paper cites H ¨ormander, The Analysis of Linear Partial Differential Operators.

Barron regularity of many particle Schr\"odinger eigenfunctions H ¨ormander, The Analysis of Linear Partial Differential Operators

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:17:36.584146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.105952Z digest=sha256:2ead033ec1073d7de56e1dc8d388cc6cb2f8bab50583e5bdaaa01dcd7c39bedf

Observation 13bca3eb-e87d-4a87-bb9f-c4eae5d20e8e · outbound

This paper cites Kato, On the eigenfunctions of many-particle systems in quantum mechanics , Comm.

Barron regularity of many particle Schr\"odinger eigenfunctions Kato, On the eigenfunctions of many-particle systems in quantum mechanics , Comm

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:17:36.570642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.110243Z digest=sha256:8886507a6705048460901d0f9a3e764df8a3219f5059a645fae029efa39eb01a

Observation 34453d65-533b-42f0-9d8f-122896d54752 · outbound

This paper cites Li and L.

Barron regularity of many particle Schr\"odinger eigenfunctions Li and L

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:17:36.557325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.114495Z digest=sha256:2114b80da2a3f6798791c2795e1eccf2ed7b9d2eb722641c78e125d91ad66d2a

Observation 1fc6690e-b863-4212-8b74-f8d9793a562e · outbound

This paper cites Liao and P.

Barron regularity of many particle Schr\"odinger eigenfunctions Liao and P

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:17:36.543362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.119098Z digest=sha256:b72f8709f6368ab7325aeab0a2d1520e9d4a4ba40f5528a58641209e545db8a0

Observation 3a12a570-c30b-41b0-b28b-32df8b2331d0 · outbound

This paper cites Sharp uniform approximation for spectral Barron functions by deep neural networks.

Barron regularity of many particle Schr\"odinger eigenfunctions Sharp uniform approximation for spectral Barron functions by deep neural networks

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-15T17:17:36.234261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.123343Z digest=sha256:4e26043d56061c1cc76d83ef9c3291243fcf35c3b9da5972d9fa887a84d96de8

Observation 92482743-015f-4959-b149-aebe346c6559 · outbound

This paper cites Lu and Y.

Barron regularity of many particle Schr\"odinger eigenfunctions Lu and Y

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:17:36.528752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.127983Z digest=sha256:e7e37d4ce47f3e2cc1d3e9f4d4b624fdb14bc5f6e1d10b04e55b221acd578385

Observation 3d5de0c1-b471-48f2-bc8a-7c7dbb7d9418 · outbound

This paper cites an unresolved cited work.

Barron regularity of many particle Schr\"odinger eigenfunctions Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:17:36.513992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.132099Z digest=sha256:416dcad4735903bf858af01740ab708c6d89ad5a8cd72a74eec6d9d9bfbf940f

Observation 3d70aa6c-19ab-4670-b272-2c8e80e59280 · outbound

This paper cites an unresolved cited work.

Barron regularity of many particle Schr\"odinger eigenfunctions Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:17:36.498582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.136323Z digest=sha256:cb9f818c3c070ff9394f9b62c453ed64eedafda245f6e08167956320c423cf3d

Observation 3334325e-2e0d-4964-8e41-c83699d67ebe · outbound

This paper cites an unresolved cited work.

Barron regularity of many particle Schr\"odinger eigenfunctions Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:17:36.483064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.140419Z digest=sha256:3033b0dca476b61f4c669ced6adc1eeca215052991ce1d402a7d0e94edc34e4b

Observation c8b8ff65-175b-4650-ac8c-d60a1c18ae10 · outbound

This paper cites Simon, Pointwise bounds on eigenfunctions and wave packets in 𝑁-body quantum systems.

Barron regularity of many particle Schr\"odinger eigenfunctions Simon, Pointwise bounds on eigenfunctions and wave packets in 𝑁-body quantum systems

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:17:36.468659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.145082Z digest=sha256:ba423c7bcc0d8b6fbd6bc592729b4eb239c6293b7f467b55c89274663ffa3628

Observation b55c4a1e-f467-4d36-a6b5-c778eb336331 · outbound

This paper cites Stein and G.

Barron regularity of many particle Schr\"odinger eigenfunctions Stein and G

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:17:36.453264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.150300Z digest=sha256:feab308506621bc39a0e93855bd8cf9f689c8789dc627b69d9ad2d5e21cd97d1

Observation 5a6942da-e377-45d2-a9b7-5808bfdab390 · outbound

This paper cites an unresolved cited work.

Barron regularity of many particle Schr\"odinger eigenfunctions Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:17:36.438017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.154476Z digest=sha256:e3461e7dc58ddc61924cc5f12fbf3632c709ae4bb8ea883355f2ae008fa20327

Observation c8bb8a5b-cbae-4a74-9631-f836674837ef · outbound

This paper cites Wang and H.

Barron regularity of many particle Schr\"odinger eigenfunctions Wang and H

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:17:36.423932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.158880Z digest=sha256:39723e9a8d17b1540f404b86f059778800408261dbd7b4f319a56e7a49f98eb0

Observation 7fec7308-32e3-48d9-897b-594ae418eb54 · outbound

This paper cites Yarotsky, Error bounds for approximations with deep ReLU networks, Neural networks 94 (2017), 103–114.

Barron regularity of many particle Schr\"odinger eigenfunctions Yarotsky, Error bounds for approximations with deep ReLU networks, Neural networks 94 (2017), 103–114

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:17:36.409853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.163178Z digest=sha256:a6da150da37559f8c3de950d6493d3bb2a5d0aca47dd6c842a4074510cf612f1

Observation 69b0dbe3-bc9c-4a2d-a114-ff0a71cdf9d6 · outbound

This paper cites Yserentant, On the regularity of the electronic Schr¨odinger equation in Hilbert spaces of mixed derivatives, Numer.

Barron regularity of many particle Schr\"odinger eigenfunctions Yserentant, On the regularity of the electronic Schr¨odinger equation in Hilbert spaces of mixed derivatives, Numer

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:17:36.395466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.167627Z digest=sha256:d475b4fa58ecdc6955888e7405d0769582cbc908ff499c348f89c78cfe3a477d

Observation d832ab1c-c214-4576-9dd5-6f03f2800938 · outbound

This paper cites an unresolved cited work.

Barron regularity of many particle Schr\"odinger eigenfunctions Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:17:36.380629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:17:36.171905Z digest=sha256:3d75b6a218fe30d11cc3ff9a5edcb2aa248eda0fb7040344e3fbc3069a1f9a3a

Observation 294e87d0-148c-4cd0-92e8-81999c8c9f96 · outbound

This paper cites Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks.

Barron regularity of many particle Schr\"odinger eigenfunctions Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-15T17:17:36.176034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:17:36.176034Z digest=sha256:746a34bb39a724a66d456175f469b17d4004c775f78606a7cea3a1dfe20ab57b

Pith citing papers

Observation 95fff119-c8f6-49a7-bd3f-b61322343198 · inbound

Cut-off Jastrow Factors and Spectral Barron Regularity of Coulombic Electronic Wave Functions cites this paper.

Cut-off Jastrow Factors and Spectral Barron Regularity of Coulombic Electronic Wave Functions Barron regularity of many particle Schr\"odinger eigenfunctions

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-07-03T09:17:47.983920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-03T09:13:08.778430Z digest=sha256:c1ecbfbdaaeb5585d7f5ecfd67649a5d1346f8ff80a18c4b67f9b0e821eb5be8