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Paper Citation Record · LEDGER

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds

As of 7 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2607.25211.

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

pith.paper-citation-record.v1
2607.25211 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T03:15:05.520872Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

37 of 37 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation eca7f053-220e-408d-9ce0-a8ecb59b9712 · outbound

This paper cites 1, 27–68.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds 1, 27–68

Reference 1

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source=pdf_text observed=2026-08-01T03:15:05.419048Z digest=sha256:d3866544fd1864395dcff2590f6c258d39ed72f4bb200c05280f6d632bb2c8af

Observation e7117f67-86f0-4b04-8921-17f6a85714de · outbound

This paper cites an unresolved cited work.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds Unresolved cited work

Reference 2

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source=pdf_text observed=2026-08-01T03:15:05.422533Z digest=sha256:cd8d7594c8772cdbc8c7209f677e1d3661ea39f33992d2997960a687b35056ce

Observation eadcd5fa-6ff5-490c-a58d-06ee981a6285 · outbound

This paper cites Monge-Ampère Equations(M.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds Monge-Ampère Equations(M

Reference 3

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source=pdf_text observed=2026-08-01T03:15:05.425365Z digest=sha256:41f74a6b8f737dfd6c842f95d3e023b5efb17f37cf9271355289d5908913eb1e

Observation b5828775-33d5-4513-a6f1-6b5a38a3d9f6 · outbound

This paper cites an unresolved cited work.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds Unresolved cited work

Reference 4

Resolution
unresolved
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source=pdf_text observed=2026-08-01T03:15:05.428081Z digest=sha256:28a91fb78702d01deb29758800abfecb3446d2f9645de5b1ef71f636bc85e645

Observation f4fffd8d-16b1-460e-9a6b-4f7f13e49d15 · outbound

This paper cites Renormalized Energy and Asymptotic Expansion of Optimal Logarithmic Energy on the Sphere.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds Renormalized Energy and Asymptotic Expansion of Optimal Logarithmic Energy on the Sphere

Reference 5

Resolution
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source=pdf_text observed=2026-08-01T03:15:05.430878Z digest=sha256:5a30e0b0b001e48824e3329cf650993184aa6de1c01613d3aff5a19beb39c229

Observation c677171f-53ce-483f-8aa0-39595f8c091a · outbound

This paper cites 6, 4122–4164.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds 6, 4122–4164

Reference 6

Resolution
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no resolver link, observed 2026-08-01T03:15:05.434154Z

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source=pdf_text observed=2026-08-01T03:15:05.434154Z digest=sha256:e9c0b579ce272d40d463aaba61d06995062e8f550d5e2689fd5735fa5fc6e576

Observation ba0049df-1f67-410f-a08f-1d3892e8ab8f · outbound

This paper cites an unresolved cited work.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T03:15:05.437168Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:15:05.437168Z digest=sha256:a0232faf09d80efe473ce4accac66aab9a79cabb04dbc1db857ef78daf15f34f

Observation 250fbd65-0fb7-4b4f-9d42-d2ce43fc74f5 · outbound

This paper cites A not-so-strange term coming from somewhere.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds A not-so-strange term coming from somewhere

Reference 8

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source=pdf_text observed=2026-08-01T03:15:05.440107Z digest=sha256:2a2cc889bf5bc35997f006c6f5040f4267a71ed4a41d86fb0bcd6c14efb82665

Observation 26792d30-33ea-4668-b257-166542352533 · outbound

This paper cites 2, 309–342.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds 2, 309–342

Reference 9

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-01T03:15:05.443041Z digest=sha256:2e755f93d90911d4ef85ec7e61374d03ad93234a268e8503aec75b5df293f980

Observation 3a783175-f9b6-4d6c-a799-a27c6dab4ca6 · outbound

This paper cites Google-Books-ID: 0v1VfTWuKGgC.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds Google-Books-ID: 0v1VfTWuKGgC

Reference 10

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source=pdf_text observed=2026-08-01T03:15:05.445484Z digest=sha256:2f8450a7957b9f2ccb3bbc9c87293424d1b3e246134e3529296bf4064f5f1d75

Observation f8ddfd9f-3366-430b-827d-867a13d5770f · outbound

This paper cites 3–4, 163–184.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds 3–4, 163–184

Reference 11

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source=pdf_text observed=2026-08-01T03:15:05.448229Z digest=sha256:74937458c6842c786b70bbaeb3a3fe35b8dc77a435353337237fc87ca82b438f

Observation 8f01d4fd-96d3-4922-9028-0b43a6f5d1d9 · outbound

This paper cites ii, Communications in Mathematical Physics406 (2025), no.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds ii, Communications in Mathematical Physics406 (2025), no

Reference 12

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source=pdf_text observed=2026-08-01T03:15:05.450834Z digest=sha256:9a68ebf50ab500ec14e9790894a262d10be67255e56a4b499d41098a59b3402c

Observation 3b92611a-0e2f-4b2d-80c8-44078593e6e1 · outbound

This paper cites Nazarov, and Andrey L.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds Nazarov, and Andrey L

Reference 13

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source=pdf_text observed=2026-08-01T03:15:05.453804Z digest=sha256:e720986925f78a99955c099f3b1f80a076f5d8d0a50ccf69b21e4248059ab5eb

Observation 0f859f54-4903-4eb5-9647-973034459d31 · outbound

This paper cites arXiv:2509.18630.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds arXiv:2509.18630

Reference 14

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source=pdf_text observed=2026-08-01T03:15:05.456788Z digest=sha256:15355cdc8841e4c495718fbd1a746a5c6a828bd5e6ada6d32482b207964abfe4

Observation 1d53c68b-4b1b-4aa0-9aea-42db94f8a1fc · outbound

This paper cites Un terme étrange venu d’ailleurs,.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds Un terme étrange venu d’ailleurs,

Reference 15

Resolution
unresolved
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:15:05.459433Z digest=sha256:5164072a84607bea880b515bf456a9cb2d3c5d79ff6c273e46576da494237916

Observation 3fdb8f6a-e16f-4c0c-8a55-11f4315ce103 · outbound

This paper cites 1, 1–161.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds 1, 1–161

Reference 16

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unresolved
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source=pdf_text observed=2026-08-01T03:15:05.461987Z digest=sha256:28087284ba701dcd3d952704351a7fe5d93a07397345ac99982e8fec6cca775f

Observation 2bd1a92d-e1ab-4eaa-ae55-8f4b27809327 · outbound

This paper cites 5, 4011–4030.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds 5, 4011–4030

Reference 17

Resolution
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no resolver link, observed 2026-08-01T03:15:05.464603Z

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source=pdf_text observed=2026-08-01T03:15:05.464603Z digest=sha256:4e557e99239829f7e0d7649a10bbb92c6be8ffdb25927d3f67aeb373d26fe238

Observation d7faa3d1-24a3-4195-b2b8-098f09ec2a38 · outbound

This paper cites 3, 823–890.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds 3, 823–890

Reference 18

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:15:05.467055Z digest=sha256:706f8765640b7e9858c499111195b2e4fe62069f199519ee826e31b03c524b35

Observation 6fd5751a-3fd7-41a9-9ad0-6a1a7af616f0 · outbound

This paper cites 2, 245–268.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds 2, 245–268

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-01T03:15:05.469935Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:15:05.469935Z digest=sha256:81baca39d84f9419ab1a8b5a5b37ae5b48bc2ebec087483a2b5cb9d5a9da1616

Observation 04a77407-8c0a-4142-8eee-2b71f93abd3f · outbound

This paper cites Trudinger,Elliptic Partial Differential Equations of Second Order, 2nd ed., Classics in Mathe- matics, Springer Berlin, Heidelberg, 2001.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds Trudinger,Elliptic Partial Differential Equations of Second Order, 2nd ed., Classics in Mathe- matics, Springer Berlin, Heidelberg, 2001

Reference 20

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source=pdf_text observed=2026-08-01T03:15:05.472555Z digest=sha256:d2e1fbb04fd97600db04cd7bbcb8b0be86bde002443b832d47cc01e304b669e4

Observation 6703acff-502e-46eb-9810-a4603d015c39 · outbound

This paper cites 2, 981–1023 (en).

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds 2, 981–1023 (en)

Reference 21

Resolution
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source=pdf_text observed=2026-08-01T03:15:05.475678Z digest=sha256:781941fd5ecbce5b43ee357cb9e3d3c6f7bfd02581fe82ed29becf247e309818

Observation 826f9ac2-3392-4190-b176-63860a6ed318 · outbound

This paper cites 3, 513–561 (en).

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds 3, 513–561 (en)

Reference 22

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:15:05.478142Z digest=sha256:ef93d80c45b860f34974babe91b034172ca5b6506ba3dc854f9b97adc50ef626

Observation ee2019ca-e27a-47c2-962b-724a509f2b73 · outbound

This paper cites 3, 1011–1056 (en).

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds 3, 1011–1056 (en)

Reference 23

Resolution
unresolved
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:15:05.480939Z digest=sha256:4e447f22cd699fadb327dc0c907fb872eb00537c9f767c706c409025e4e4e248

Observation abbf4973-082c-4fba-9ef4-734b72984db5 · outbound

This paper cites 2, 321–359.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds 2, 321–359

Reference 24

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source=pdf_text observed=2026-08-01T03:15:05.483332Z digest=sha256:fbda3a19ba990a8b562c806bcd437376a4f3c7fad78308d72e3b01fefff7fdd6

Observation f25473cd-58db-4383-9269-960fb7f04c0c · outbound

This paper cites an unresolved cited work.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds Unresolved cited work

Reference 25

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source=pdf_text observed=2026-08-01T03:15:05.486055Z digest=sha256:9b22b24fbc72cc6aafb6c33f060d848d1f740de87c6288e6edcfd70b495ae7e8

Observation d24f24c4-b947-4913-bcf5-fb46f2463368 · outbound

This paper cites an unresolved cited work.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds Unresolved cited work

Reference 26

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:15:05.488931Z digest=sha256:41a1c296a77ab68bf6a8be2901978822ad43ac9d62cbf967e350440b7f37d3ae

Observation e0c9daf5-3487-4180-937e-c48ef4dff110 · outbound

This paper cites 11, 364 (en).

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds 11, 364 (en)

Reference 27

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unresolved
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:15:05.491361Z digest=sha256:28b2284adf0e6c1912c198d39e319513f31227d4c58486b083f44a99a282e1c6

Observation f6e53162-b7a5-4fd6-a623-ab8519e306bf · outbound

This paper cites Marchenko and Evgueni Ya.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds Marchenko and Evgueni Ya

Reference 28

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unresolved
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source=pdf_text observed=2026-08-01T03:15:05.494065Z digest=sha256:c641b7c6991ff7ee5d0fe2bcb7394a546a772d26f54938abded12cb2ab830848

Observation 60312e17-1030-4928-a78d-f52edab96254 · outbound

This paper cites an unresolved cited work.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds Unresolved cited work

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-01T03:15:05.496792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:15:05.496792Z digest=sha256:2b95edbffe35156acf621f01fbe82c44e945ceaba248a3f30048ee8824e23c85

Observation a6ca095d-5aed-4b6a-be39-b854f5dde54d · outbound

This paper cites an unresolved cited work.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds Unresolved cited work

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-01T03:15:05.499858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:15:05.499858Z digest=sha256:1ce070c218785509d42371a2865001bf1f0898190622a033c59131c43108df38

Observation e3c6277f-6019-4ddf-8908-c727e0719da9 · outbound

This paper cites an unresolved cited work.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds Unresolved cited work

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-01T03:15:05.502570Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:15:05.502570Z digest=sha256:2d68a8280e6d812597736e072d3ad3285f2e55ca6b7bd362d9e93cdb6c41cae9

Observation 4ba6cb01-2667-4ddc-b94e-41870e4da03d · outbound

This paper cites an unresolved cited work.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds Unresolved cited work

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-01T03:15:05.505210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:15:05.505210Z digest=sha256:06a5d430cbc8f9a08e1f569d0b0294feb14e4f9e69b2bdc37142da5c2a0b5420

Observation 30b1f705-9716-411d-a889-3ecea9c27d6f · outbound

This paper cites 3, 635–743.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds 3, 635–743

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-01T03:15:05.508081Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:15:05.508081Z digest=sha256:450d22a72777bf7ac8eb15d040c895850ce06bd7cf345e3ede120bb04e34b0a6

Observation 685c8ebf-3021-4683-b276-652dfca5c644 · outbound

This paper cites an unresolved cited work.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds Unresolved cited work

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-01T03:15:05.511122Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:15:05.511122Z digest=sha256:fa02f5c13a884c961f7e97e452de1f880263ebf4c36296dadee70abb8449ad86

Observation 91f3a507-e2db-467a-8c7f-c2a296ab8bd9 · outbound

This paper cites Lectures on Coulomb and Riesz gases.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds Lectures on Coulomb and Riesz gases

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-01T03:15:05.514194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:15:05.514194Z digest=sha256:8eecfab207ae6bc8719c005a696c1ef001264a9cdfa9a79abb7de45f53b8ed59

Observation e74c6f5b-6eca-4b59-b722-7918e38cfb38 · outbound

This paper cites Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-01T03:15:05.517234Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:15:05.517234Z digest=sha256:03d923ceb76dd4c39202129979fb34342a39e9c463c0e1142b4e977154abc516

Observation ebe5a8fb-af2e-4759-bb40-100716a85d67 · outbound

This paper cites an unresolved cited work.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds Unresolved cited work

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-01T03:15:05.520872Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:15:05.520872Z digest=sha256:554b83a772b87cc98d569a2163eeabd66cdff2045ff104ef95981c24cf5bfe54

Pith citing papers

No inbound Pith citation observations are available.