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Paper Citation Record · LEDGER

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds

As of 15 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 2026-08-15T06:32:42.880941+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

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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=sha256:8462c072a8733b6bb37488e73e95efef5b3b402f5e0e29660708516312b2e74c

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=sha256:760863d005c6d9805d944835c9157cea232344c52f1422274ed13a6ff141cc08

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=sha256:65b26081c23c51cfe363d3139417369550b8bb12b1e7dddc2e30bef75c224f20

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
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source=pdf_text observed=2026-08-01T03:15:05.428081Z digest=sha256:1347f091a90b437c55dfc7c8b8d844086971ad7a2c4c09b8b9403d7fee26dc9e

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=sha256:3fb5667ccaf652ab9229540d966eed58a74e44becb3a59bddfcfe676ef2376e1

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

Source-reported events for the cited work

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source=pdf_text observed=2026-08-01T03:15:05.434154Z digest=sha256:b8c282ab72c0174aa9fde8cdf52461e8a19a1adf7c3f8d096ca8cb27835949e4

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:b1cb3f0a87f6d275a774a30d281c73a3135f9c8491e741ffb7b423c3b6ea5861

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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unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:15:05.440107Z digest=sha256:4652fa8ab5d367508ed693102ec92b8286b5d4a9441b3af7dcb8e734792558a9

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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unresolved
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source=pdf_text observed=2026-08-01T03:15:05.443041Z digest=sha256:6001c8b53add9c0f6f0248d9db0fcac573546bb9824a0394b1a197f546497ae2

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=sha256:1a7110aecbabfb864298d1c59c4e275e6c54c553efe0ea78976c914bbb0d9f0d

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:d8f309b5f3c6298146695c487fbaf31ed7765818ebd3a6f3e7b2ec309a1de859

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=sha256:1ae667d12864b8c17cf416a527c3620266cb15ead4e0478b76eb9ddbe5bbb18b

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=sha256:1d65c2d24c98a020e9b35871bedbd57beba0f262c73d60e1bef293f30c5c11b8

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:d7ad8705dcf24961d6dab8b01809ce963491f755d3391a15ec9fb387e1f10461

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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source=pdf_text observed=2026-08-01T03:15:05.459433Z digest=sha256:0c1f89c90b08a370f37ed25a26e86b8abb60e2b6621f34682371a16c3df136d0

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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source=pdf_text observed=2026-08-01T03:15:05.461987Z digest=sha256:f2728bf88edc413a68c5a08d8b2737fdafcf32b7af982295a37487a7004521d3

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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source=pdf_text observed=2026-08-01T03:15:05.464603Z digest=sha256:aeabfcc14313f9e6a67c62e68850d5b64a24f2a09e5d238e9bd74b4bcd207d49

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
no resolver link, observed 2026-08-01T03:15:05.467055Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:15:05.467055Z digest=sha256:0604130fa2708d546e2e9fb8042b210c10f6d25a595fae7c5ee98232955059ff

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
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source=pdf_text observed=2026-08-01T03:15:05.469935Z digest=sha256:8ba6666900c4afdb0e4a7bca7dc152ed530e2fc147b13a70cb164840ad8fa070

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:15:05.472555Z digest=sha256:a4517a1d9199b1f81bf0847ab67930e7f2957c2d80b7939a65b9b266bfeebfcb

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=sha256:8a1ef2de0dd809da484e99873e992e1a4e638fc95956e7361381359b71859dc2

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
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source=pdf_text observed=2026-08-01T03:15:05.478142Z digest=sha256:e83851d1395405ba13a161eaa2966638f85fca63ce3c20b4af3e3643c0cf7551

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
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no resolver link, observed 2026-08-01T03:15:05.480939Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:15:05.480939Z digest=sha256:5a3dca9275c0437c4323d987587d3cf922f6ec97d7a111e95ccddb6a2e5371bc

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:a1b7c34acc6f3e03fb899e8d88dfd0052156a38bda4bca980e580124a1277804

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:a0e50021a52880706f60edfc95da4fc4126d6f418d5c542d9de1f3f2c866b22e

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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unresolved
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:15:05.488931Z digest=sha256:e8d531d574fd90d8821f7ee3723cf0e99e91f3732cb11c61c9172c7755f142c8

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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source=pdf_text observed=2026-08-01T03:15:05.491361Z digest=sha256:5d500722b35b0b6913a7ad40601973980abe8986b2b61512e1917eb303871595

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=sha256:98142895e9b2a58a078cc6c82d7c00ff8f18f2ee90c2b6ac1efc2ee123239807

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=sha256:7740303547bed4c2a1f4eef5c0bc4e1b214a6b4311ab5fe1feff37e76fb788a4

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=sha256:0392a627614c66c54c72e7048ada8f05583c943b8f0e7dc7b4cfa2c8f00c3fba

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=sha256:9db170bd311792e3ce568d505e51a8084849ba79d70aa844ce0da6c1741de489

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=sha256:4034995330015f8a0499137337a9623381ca26f2a22ec6d3e82ad13bb680bb93

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:f057ca53013c60713ad71dd51c08c506f6b53b5a8f441394b1c2d9d5889bcc6b

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=sha256:1708c0148c47479c920d04877f0e1c158ceb49d5bc8e528af801d4d0ec8f7fc1

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:15:05.514194Z digest=sha256:d2157ec7af667ed64d94e0b7ab1c2d2bd02f1b001c38154ae7df90b28a7f7b7d

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
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:15:05.517234Z digest=sha256:57feab2be3394611ceffd24d9cc93dfd1a23907d54d01a9c02847aeff67294e2

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
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:15:05.520872Z digest=sha256:012f37ee4db32cfcb1be06b63db4b0d09d8c22ef3e94abf0b830cfaf97fc9971

Pith citing papers

No inbound Pith citation observations are available.