Paper Citation Record · LEDGER

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections

As of 15 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2608.02524.

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

pith.paper-citation-record.v1
2608.02524 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T05:37:50.131642Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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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 af6f9bf3-e4cb-4512-adfd-6455b721c84f · outbound

This paper cites D-type contributions can be further categorized into D1 and D2 sub-types.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections D-type contributions can be further categorized into D1 and D2 sub-types

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:46.582228Z

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Unavailable: canonical work link unavailable.

Observation bafa4228-bc51-4677-80c1-b0dc3cbac89c · outbound

This paper cites These hybrid-type contributions arise by taking into account higher-order terms in the Taylor expansion of Q(x, y) in the x → 0 limit.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections These hybrid-type contributions arise by taking into account higher-order terms in the Taylor expansion of Q(x, y) in the x → 0 limit

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:46.612674Z

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Observation 7ccfb6a6-aff9-475f-a158-3f04922a33b3 · outbound

This paper cites 156 by now deﬁning βn(a) as follows βn(a) = ∫ ∞ 0 dy 1 a + y2 , (F1) where we can calculate β1(a) by doing the change of vari- able y = au.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections 156 by now deﬁning βn(a) as follows βn(a) = ∫ ∞ 0 dy 1 a + y2 , (F1) where we can calculate β1(a) by doing the change of vari- able y = au

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:46.674843Z

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Observation b5d8c5f7-e15e-4a92-af26-2dffcc838438 · outbound

This paper cites By doing this, we obtain D0,1 = ∫ ∞ 0 du u − tan−1(u) u(1 + u2).

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections By doing this, we obtain D0,1 = ∫ ∞ 0 du u − tan−1(u) u(1 + u2)

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:46.706905Z

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Observation 6d04526b-417a-47f3-b3cc-e78a41ccdb6c · outbound

This paper cites an unresolved cited work.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:46.710908Z

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Observation 66a9969e-8815-4345-9aa9-267e9c28da74 · outbound

This paper cites Benites, A.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Benites, A

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:46.772067Z

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Observation 65df2daa-6146-4c8c-814d-a49fea699e7d · outbound

This paper cites Kohn and L.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Kohn and L

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:46.914086Z

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Observation 0f093216-5218-449d-a229-cdd10b68b88b · outbound

This paper cites Wigner, On the interaction of electrons in metals, Phys.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Wigner, On the interaction of electrons in metals, Phys

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:47.048055Z

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Observation 91591531-892c-455d-a8ef-ed574ff97bf4 · outbound

This paper cites Bohm and D.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Bohm and D

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:47.175541Z

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Observation 33040601-27fa-4b8d-ae91-4659c1c47b30 · outbound

This paper cites Pines and D.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Pines and D

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:47.274671Z

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Observation 0017f233-5abb-4097-a0a2-bff844d9b02a · outbound

This paper cites Bohm and D.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Bohm and D

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:47.426306Z

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Observation acf0d22d-0edb-43a4-8279-00da40be17f8 · outbound

This paper cites Pines, A collective description of electron interaction s: Iv.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Pines, A collective description of electron interaction s: Iv

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:47.572165Z

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Observation 88f6ec0b-3ad6-4934-8ff6-3c08a74327cf · outbound

This paper cites Gell-Mann and K.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Gell-Mann and K

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:47.721471Z

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Observation d0212056-c179-42c4-8107-4a24188e34f3 · outbound

This paper cites Nozi` eres and D.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Nozi` eres and D

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:47.882416Z

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Observation a70512ee-f803-4624-93f9-2728ce362281 · outbound

This paper cites Hedin, New method for calculating the one-particle green’s function with application to the electron-gas problem, Phys.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Hedin, New method for calculating the one-particle green’s function with application to the electron-gas problem, Phys

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:48.042353Z

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Observation a9d332da-c202-45ea-85a9-ba5a4b47278d · outbound

This paper cites Hohenberg and W.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Hohenberg and W

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:48.152330Z

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Observation dbffc778-afad-4104-bcc4-1c3220570161 · outbound

This paper cites Ma and K.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Ma and K

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:48.309514Z

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Observation 26014c23-ad6f-4c85-9216-fa4f5cee7e1c · outbound

This paper cites an unresolved cited work.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:48.471790Z

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Observation 023f2c66-3558-4606-921d-29daa157162c · outbound

This paper cites an unresolved cited work.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:48.622481Z

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Observation 767f9198-fe24-4f39-a471-e802eafe266e · outbound

This paper cites an unresolved cited work.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:48.787192Z

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Observation f2b9f347-6e2c-4450-aa7c-b160f73b6083 · outbound

This paper cites an unresolved cited work.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:48.895824Z

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Observation b0e152ad-bcc7-4922-85fa-7010eacb2c2d · outbound

This paper cites an unresolved cited work.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:49.028596Z

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Observation 98dba5e4-eaa5-4712-a905-18f75ab4e891 · outbound

This paper cites an unresolved cited work.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:49.242008Z

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Observation 9d380886-c45c-472b-85dc-b3c0ec9dfa28 · outbound

This paper cites Kleinman, Exchange density-functional gradient ex- pansion, Physical Review B 30, 2223 (1984).

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Kleinman, Exchange density-functional gradient ex- pansion, Physical Review B 30, 2223 (1984)

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:49.383398Z

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Unavailable: canonical work link unavailable.

Observation 7e1b782d-5542-4821-888c-f5e7962cf00f · outbound

This paper cites an unresolved cited work.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:49.519793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ffcc771a-f9d4-44f8-8a2e-38611dfb4189 · outbound

This paper cites Kleinman and S.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Kleinman and S

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:49.634865Z

Source-reported events for the cited work

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Observation ee0f0de8-4a04-4d21-9fda-0271abd64c17 · outbound

This paper cites Engel and S.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Engel and S

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:49.780940Z

Source-reported events for the cited work

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Observation 86b43a22-0ffc-45e2-ad55-1fdbf396e017 · outbound

This paper cites an unresolved cited work.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:49.928858Z

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Observation 4df67130-2d55-4ade-a85d-c2a46346bd8b · outbound

This paper cites an unresolved cited work.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:49.962121Z

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Observation 5f891496-629c-49f3-879a-e5b7b3974124 · outbound

This paper cites Giuliani and G.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Giuliani and G

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:50.069921Z

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Observation bf1bfd28-ef7b-482e-aefb-cb30d39f6581 · outbound

This paper cites Benites, A.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Benites, A

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:50.115569Z

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Observation 1587db24-6543-4a14-9c13-a6e383c0ed29 · outbound

This paper cites an unresolved cited work.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:50.118223Z

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Observation d8a70ba1-302d-4b6a-aa4a-a44dadf0ea86 · outbound

This paper cites Mahan, Many-Particle Physics (Kluwer Aca- demic/Plenum, New York, 2000).

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Mahan, Many-Particle Physics (Kluwer Aca- demic/Plenum, New York, 2000)

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:50.120690Z

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Observation f207e2a3-e14c-47ee-9ba9-9c307065d628 · outbound

This paper cites Pines, The Many-Body Problem (W.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Pines, The Many-Body Problem (W

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:50.123400Z

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Observation 18823bdf-f1e2-4945-af21-5ae1f212ec79 · outbound

This paper cites an unresolved cited work.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:50.126025Z

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Observation e70c3072-c0a4-44b0-ab67-41cbb5013851 · outbound

This paper cites an unresolved cited work.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:50.128684Z

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Observation 0f4f9829-2a06-4e7b-aba9-8a5beb4d05d2 · outbound

This paper cites an unresolved cited work.

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-04T05:37:50.131642Z

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