Pith. sign in

Paper Citation Record · LEDGER

Barron regularity of many particle Schr\"odinger eigenfunctions

As of 16 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.027012Z digest=sha256:7efbbfd9ad315bdc58bc3e759c114e7c8574c3c317d1576a5352b24d73edf5cc

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.031902Z digest=sha256:4e38c3d4698ab7ea701b819b5fed5d1a5101008ff86efae981f62c9554c667a9

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.036390Z digest=sha256:75369f310a4d1b89979b2ee95bed20199cb91843b49ca3a40fe2d5e6ba63e80e

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.040881Z digest=sha256:80de54862ff5aad6c1a7635f61493883f11157f74ea954037b44b31864c5fbb8

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.045092Z digest=sha256:09b431d8afd8a8794c0eb196920473c3e225a21fe49e235a564f8196e6c3aeae

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.049313Z digest=sha256:c6be4fa842b0d635cc79322132a927e6495a1116608ada004fb6403c9d0206a1

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.054037Z digest=sha256:ec4ad07e057a5465a44e34a620c162e367864a632110bcef7d62b66638b5256b

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=sha256:45c697650cf3a30c82c0fd92b7aa6c3e3d42140f92a22a92698626efb1ca62a6

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.062629Z digest=sha256:3e5d5da58d490b96c2cdc404b411d665d7adc6f0ecf8ac94dac7d02053734862

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:e34221c341b57824825ef7ce275789575cd35bf168b95124362f097afe604cb2

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.070950Z digest=sha256:e49f88f2c5c1c8af16a1de6486301e234483555a21b86113377daa36075e22aa

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.075352Z digest=sha256:51d71d735e6a3df0583b96c900ab1630a2ef1038793d74b8e00a9f89e24686a8

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.079394Z digest=sha256:5813d38e158154429c220ad07ae4c60dfc410f4fb5a5e577114e9bad2fdb9d53

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.083327Z digest=sha256:5a91231244df9af78f5139ca41a7bb5af01f695800beda8e143a4a7b2800ba60

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.087712Z digest=sha256:9d7727bd10871c130b33d3f1b6e01d2e9820a4c98200c0226993d7fd5b7d9bcf

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.092128Z digest=sha256:7068b5aa092dad2523b3e8e4ee3ea84acf79d3049128fcaa077b79456bd2f3a8

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.097246Z digest=sha256:2b61b5bfa5a3fde904a52185e606a2bd3c35070c7acc39451ef94defb1a543af

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.101731Z digest=sha256:4edb40e440951336b3101a0e658b535b1ceff664ad226c9f2c99a9ededb11ade

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.105952Z digest=sha256:680c9e702297dd3a3b12b28986d06014d62be0b62db30c73b0d4af3e09c96a4c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.110243Z digest=sha256:9b8b95cafd74cd961266796406f23601dcfbb5275d98730230f2b9a01b2c0034

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.114495Z digest=sha256:6ec73f499cc0a98d963a869dd339be7c10e8780294cc72c8adf3ded37e164c0f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.119098Z digest=sha256:d63059f888365634c229eb8f71917ec7c32f43c3c207faf2339c906b5c50a77f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.123343Z digest=sha256:beb173f336cce0145b437321c401d573bfc57e9e588a6bf66e01fdfc91a05cd2

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.127983Z digest=sha256:12edc8fe74e0a688bf15d038de75e9d8ada47ff773d193d734f4d24d92ff2479

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.132099Z digest=sha256:ba6b12d00fbfea509aa710279e2eb63f44634ab38600fca5fd5b569d1f2bb9ec

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.136323Z digest=sha256:723a534e84c100a6fe904119d1c0295b55412bcb38ec251171274231d9a965fb

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.140419Z digest=sha256:e27f4e63086af35309abe9aceaeace4380fb4457618fe8f163614527ad86fee9

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.145082Z digest=sha256:8f609d506ef3d6d62c75119610b309debb9b8a0a48c2b807e5e77f891c19cc27

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.150300Z digest=sha256:4e115694e6a68f8befa5f22ec8a6f47ca6c5121655b19389073e917fc6864d83

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.154476Z digest=sha256:b988b4b35f388ab9679fcbf887afb6a41dc7fe2bfff2a032be56d62b96e9a7ed

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.158880Z digest=sha256:d6fa280ab07e43221d07249dd1b22f2a5320d98cf61a453a4c7f2f3423c9f223

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.163178Z digest=sha256:65183a033f1a6629ac0c8db6e113303cf2dc12b0704733505460a91ccdf9d8d4

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.167627Z digest=sha256:b458c47f5127c7681daf84ef3e5b1cf367a53c6728eb3ede950229cd7fe8495d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T17:17:36.171905Z digest=sha256:f54772c850e3f16e60573bffcb1fd375665e6219051105c88d627d0afa8e232c

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:dd344721ff6a50e518cc8353e094ae3a910873b180bf6183a64ef2cdb29fa214

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-03T09:13:08.778430Z digest=sha256:77c83c89c68213bc2eb65ae881b2d3a4c0af36239471076de9c55ce355487f11