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Paper Citation Record · LEDGER

Barron regularity of many particle Schr\"odinger eigenfunctions

As of 17 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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.027012Z digest=sha256:b4659c009c6b5be0938e50925b199d94ab155dab08a22d1d93e02a74d59668d6

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.031902Z digest=sha256:7572dfeb5facd34a0df399e1f8cab35dd1179fc9089493fb92689852c5513123

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.036390Z digest=sha256:3de3c8a6496eb561032eacaeea5d4390f11bebd838da7f1fbcf8385871aa87b6

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.040881Z digest=sha256:f75c47282dddff68edce17b6bb5c2063b05cf300f5451032eab27f4d4610becb

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.045092Z digest=sha256:9bbe83d6f33b34689f9183361a35733ac669ff3c9fca0379b1b4e20afd3c353e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.049313Z digest=sha256:1b7105feaab16a39762ecb13d4757093760d47eacea497a3ea905a94b0a372f8

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.054037Z digest=sha256:5b54e5e959db6d10779e22f4bb7d66165bf3fd290f254db491368480752e91ec

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.062629Z digest=sha256:6c0c6a3012efd1412914c8abfac667e47175d64b14f665209e3eabda27e57044

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.070950Z digest=sha256:6012d31c276780c37bd65ad64a0ef48fba924ad9251e362e8ca19a62d262f2cf

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.075352Z digest=sha256:3961551e7ec98c20a1ee144fdcc32e65f51a33a7175ee273cd00dcc9789179eb

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.079394Z digest=sha256:23739cc15eb2a6ec5e8151bfdab51d7d6523b310be5cd95cccca35a66a4c327c

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.083327Z digest=sha256:5bc66ebdbd2107921204516e77b81147fa77cebc1bd830e2946bc427593637a7

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.087712Z digest=sha256:58c9d2916c42a41117a9c98235d6b2458301b35d02e4ac1fc9068ceba93cd785

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.092128Z digest=sha256:d122b56a96e346ecf8cadeed8d4434a4ffccc1b5f56167f8ac51e45eae244245

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.097246Z digest=sha256:5e4590c8940e06e2c58a62e224174cca3664fdfded46cd04cc28c96adae3bac4

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.101731Z digest=sha256:76b0bfd0dfaec4395a384da0800a14ea08669fb6b293367511da44c5ec37561f

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.105952Z digest=sha256:f4d9afdc2bf85e58fd74e5108e8b86157fffe3e3e8e2e0b80eb298444b6d01d1

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.110243Z digest=sha256:c9c3d19cfc76066238bf850910ff8eeeaf8eccf8c383265c0b426b0b803ca7f0

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.114495Z digest=sha256:45e8bf8c9e87b577c333e8bff41a61db50976555c2a5d4b7681e0bf37179014e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.119098Z digest=sha256:01b91b386185688a1889493f7b055c43e6245fc19ff5b332affe02344d19518d

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.123343Z digest=sha256:99ea011e311108b7fb15c715f292419eb5634340bd83a72ee28cc41c2742a7a0

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.127983Z digest=sha256:ce40687b739ea3b35f5750a2dd8d311fae443dcca59ca07cfef4e90954202f00

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.132099Z digest=sha256:f693cee059867b1b20b87321692e4fa52cb7342c151fc8030a18a5fff30198b2

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.136323Z digest=sha256:f8e03ab180ce2433d7b238fdd3461ad71e83ec4fa8348e44817406220c6c8eae

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.140419Z digest=sha256:dc27e87c37cf805b428784e467d672fcc1aafd5303bf2af6ffd8525d7fb25c8e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.145082Z digest=sha256:94a5b460787a1159d8d716bd3fecde277c3df401674ad00c6219cafce4aecbb6

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.150300Z digest=sha256:386f6c32cfbc3ac4172184558babdfbc42caeeca6b4d2082c6b93df66d3952bc

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.154476Z digest=sha256:a37ffbabffe4aaa15b3d06a518c83ba2f5a400feb09e08e6ced13f8102f60005

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.158880Z digest=sha256:2b97954e9add4fca35ab8da410597a1a73cee83d113dec5c35e542a0228412c5

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.163178Z digest=sha256:275fd13e3bed5003a4d7ee74f2d0fe9ea4c526666add4264d1c41ed05ccabf20

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.167627Z digest=sha256:331bdc5e5a171cdaf4095cd4c391231b02366987e70162de8fcfabbf0155f7d3

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T17:17:36.171905Z digest=sha256:8a377810e269b81f633f3754fc00cadbf37ad2b1024d1a46237b3085d65921ce

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-07-03T09:13:08.778430Z digest=sha256:27d42d5fa7ae4126d5372492cd9bdd91b443ded736dd0ff2bd21e159d8b64819