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Paper Citation Record · LEDGER

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix

As of 20 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2506.16178.

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

pith.paper-citation-record.v1
2506.16178 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T23:55:55.331888Z

measured 35 of 35 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

35 of 35 outbound references displayed

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  • verified fuzzy26
  • unresolved7
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f04d88f7-1b3d-4d71-9336-fd1ad20c0a8d · outbound

This paper cites Aleksandrov, S.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Aleksandrov, S

Reference 1

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 4e7d4b80-00d8-4cb4-8b36-87d6e9ce365d · outbound

This paper cites an unresolved cited work.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Unresolved cited work

Reference 2

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Observation 175d723f-4699-498b-86f2-4efeac715918 · outbound

This paper cites an unresolved cited work.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Unresolved cited work

Reference 3

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Observation e8e76f47-8808-476a-b486-102d901d42c1 · outbound

This paper cites Cioslowski, Off-diagonal derivative discontinuities in the reduced density matrices of electronic systems.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Cioslowski, Off-diagonal derivative discontinuities in the reduced density matrices of electronic systems

Reference 4

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raw_fallback, observed 2026-08-06T23:55:55.910944Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:55:55.164347Z digest=sha256:38e5a564e92d4a072c705ce3d00286a0361ba5a2d202501fdde1fe1b88853dd0

Observation b6cbfbb6-a1ab-476f-bfc2-885678de903d · outbound

This paper cites Cioslowski and F.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Cioslowski and F

Reference 5

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source=pdf_text observed=2026-08-06T23:55:55.169657Z digest=sha256:cc8e2f849f7f055f1cc420ceca9bbe9fd8ca06482acc77bf8960e6c0b05f3877

Observation f500e211-667e-4f29-b9b9-1a22136eec65 · outbound

This paper cites Cioslowski and K.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Cioslowski and K

Reference 6

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raw_fallback, observed 2026-08-06T23:55:55.863443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 49d2acfc-4401-4599-8bbf-80482751dfca · outbound

This paper cites Coleman and V.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Coleman and V

Reference 7

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raw_fallback, observed 2026-08-06T23:55:55.848567Z

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Observation 9b59a82c-af0c-426e-a194-f9e7d2bf6699 · outbound

This paper cites an unresolved cited work.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Unresolved cited work

Reference 8

Resolution
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raw_fallback, observed 2026-08-06T23:55:55.833821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:55:55.187777Z digest=sha256:d4a6bc8e0ccccddc50b527d039390d74ced6cda6d855c79f5989adaab3828776

Observation 74a2aeb5-37de-4266-899b-f6535a60537a · outbound

This paper cites Davidson, Reduced Density Matrices in Quantum Chemistry.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Davidson, Reduced Density Matrices in Quantum Chemistry

Reference 9

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raw_fallback, observed 2026-08-06T23:55:55.819705Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:55:55.192197Z digest=sha256:3c6dc65cec2b2fd86f29b0f46ed360a836dff93656100eb7dd6ed506b5bfed45

Observation 8f070e33-671b-4474-81a5-d7aa5d3923ad · outbound

This paper cites Deift, W.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Deift, W

Reference 10

Resolution
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source=pdf_text observed=2026-08-06T23:55:55.197151Z digest=sha256:70316d92c9fc74921aa94ddca8caca93ce008789f13a4e77c0a0860d876a6679

Observation 4352b1bd-223d-498b-917f-b675da2c0b79 · outbound

This paper cites Fournais, M.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Fournais, M

Reference 11

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:55:55.202463Z digest=sha256:f8524911fe938458826b16c9017188437fa36d15deffbc806dcc914e9bd55dc4

Observation 4e31612e-64f3-410f-b981-9a32ba9259e3 · outbound

This paper cites Fournais, M.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Fournais, M

Reference 12

Resolution
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raw_fallback, observed 2026-08-06T23:55:55.771988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:55:55.207617Z digest=sha256:532109846a7b2ac30e1479f114a35fb824b5cf5605d23e88d88bd0aaa2c4cff8

Observation 520cd73e-3e00-4e81-8721-3e0bfdb0bacd · outbound

This paper cites Fournais, M.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Fournais, M

Reference 13

Resolution
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raw_fallback, observed 2026-08-06T23:55:55.756749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation d5a0cd0a-f21d-4ae1-9dab-898f1b298290 · outbound

This paper cites Fournais, M.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Fournais, M

Reference 14

Resolution
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raw_fallback, observed 2026-08-06T23:55:55.740161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:55:55.217871Z digest=sha256:465d6e91a23ba713a8073e3ea21776f8e1b24e670db0b2131868c52c7705f06e

Observation 4171d7b9-3c32-49a9-80d4-ba9bc667199a · outbound

This paper cites Fournais and T.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Fournais and T

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:55:55.725392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:55:55.222497Z digest=sha256:3754205d7b2d7388555147044d95ea36c286e4be0f3d5274e40368f8c48e2c83

Observation fa21ed75-5123-4ebc-bb96-423c57d27473 · outbound

This paper cites Friesecke, The multiconfiguration equations for atoms and molecules: charge quantization and existence of solutions.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Friesecke, The multiconfiguration equations for atoms and molecules: charge quantization and existence of solutions

Reference 16

Resolution
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raw_fallback, observed 2026-08-06T23:55:55.708654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:55:55.228044Z digest=sha256:afd63d834f84211622bc9d73ff7a6c148eee0531a36cff62bb26459fa9045d78

Observation 2a0b30e2-ece3-496e-80c3-a599a5890af4 · outbound

This paper cites Friesecke, On the infinitude of non-zero eigenvalues of the single-electron density matrix for atoms and molecules.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Friesecke, On the infinitude of non-zero eigenvalues of the single-electron density matrix for atoms and molecules

Reference 17

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:55:55.232872Z digest=sha256:aa9641a8037e04e6b0d5ad4ea74eb027a321acd58014dbbff99caa376f7e4e9f

Observation 4fb77030-abe8-4167-a7de-defca0ec5d0d · outbound

This paper cites Froese and I.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Froese and I

Reference 18

Resolution
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raw_fallback, observed 2026-08-06T23:55:55.677777Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 4bac3706-d58b-45b8-9216-3becfb9dae21 · outbound

This paper cites H¨ attig, W.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix H¨ attig, W

Reference 19

Resolution
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raw_fallback, observed 2026-08-06T23:55:55.661272Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:55:55.241724Z digest=sha256:a39533cae8d90338fb543fd6e4189f44a378a0ac9a6abc4ec1e6008f82d33451

Observation ee17eed0-8407-4fd1-a449-bb29c96426de · outbound

This paper cites Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions

Reference 20

Resolution
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local_arxiv, observed 2026-08-06T23:55:55.409005Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:55:55.246686Z digest=sha256:48e895f6c7bf53d0f286a57620eba562645c8caa74a360ee3fbb1e7f54bfbdf5

Observation c371e9bc-d2ea-4f0d-ac63-b402ea37b2fb · outbound

This paper cites Hearnshaw and A.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Hearnshaw and A

Reference 21

Resolution
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raw_fallback, observed 2026-08-06T23:55:55.645753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:55:55.252177Z digest=sha256:0fe5af97318649b9648c154c0138e5171dfa321f77ce40c68725f0902cf93bab

Observation fe97fbb2-e2a6-4821-b6bc-89dba9d07df6 · outbound

This paper cites Hoffmann-Ostenhof, T.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Hoffmann-Ostenhof, T

Reference 22

Resolution
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raw_fallback, observed 2026-08-06T23:55:55.630628Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:55:55.257662Z digest=sha256:7272121a2ea8f8ca22fba8dafd4811c545105cf4cf53408a9f6ae57510693898

Observation dfe4e644-9cac-4ef8-a9fc-1827a93edc99 · outbound

This paper cites Hoffmann-Ostenhof, T.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Hoffmann-Ostenhof, T

Reference 23

Resolution
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raw_fallback, observed 2026-08-06T23:55:55.614302Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:55:55.262777Z digest=sha256:4289e086dde1c3e4745fbc0b5a92bd9b6f104f676cf9942eaefec329d423c78f

Observation d5cd1b01-a612-45c7-a5c1-a4adfecf1993 · outbound

This paper cites Kato, On the eigenfunctions of many-particle systems in quantum mechanics.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Kato, On the eigenfunctions of many-particle systems in quantum mechanics

Reference 24

Resolution
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raw_fallback, observed 2026-08-06T23:55:55.599328Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:55:55.268417Z digest=sha256:aba7fc74158bf25a8521335e177b8b82d1c4e726caf382d38fb2164a43d00189

Observation f17a0db3-e30a-4382-8b30-640624e64fed · outbound

This paper cites Leray, Sur les solutions de l’´ equation de Schr¨ odinger atomique et le cas particulier de deux ´ electrons.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Leray, Sur les solutions de l’´ equation de Schr¨ odinger atomique et le cas particulier de deux ´ electrons

Reference 25

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raw_fallback, observed 2026-08-06T23:55:55.583382Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:55:55.274330Z digest=sha256:e432eefaa94667a9f7e887a551b874cc8fbf0db6ce07922bfd865a40512ae1cd

Observation 5ed7f8d4-98ca-4228-a98f-2c3756ae7a92 · outbound

This paper cites Lewin, Solutions of the multiconfiguration equations in quantum chemistry.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Lewin, Solutions of the multiconfiguration equations in quantum chemistry

Reference 26

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raw_fallback, observed 2026-08-06T23:55:55.565677Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:55:55.280030Z digest=sha256:487f9823a2f4cf7475be796ebc62109a4a250bafa5b61df2f18332e64c9037b1

Observation 65ba5517-d1eb-471c-9b18-be1ba8510408 · outbound

This paper cites Lewin, Geometric methods for nonlinear many-body quantum systems.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Lewin, Geometric methods for nonlinear many-body quantum systems

Reference 27

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raw_fallback, observed 2026-08-06T23:55:55.550513Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 5372af49-e016-469d-bf87-8fa0a3245ea0 · outbound

This paper cites Universal Functionals in Density Functional Theory.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Universal Functionals in Density Functional Theory

Reference 28

Resolution
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local_arxiv, observed 2026-08-06T23:55:55.379963Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 65da265c-32f7-4e5d-9b3d-9763a652719b · outbound

This paper cites an unresolved cited work.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Unresolved cited work

Reference 29

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raw_fallback, observed 2026-08-06T23:55:55.533887Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 46872d50-6056-49ea-aaa8-53519bcfd8b9 · outbound

This paper cites Reed and B.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Reed and B

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:55:55.515170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:55:55.301775Z digest=sha256:d49ba01354daf74ba85bed66de71f8a312fdd4b0a36073273f2190b9d161d53d

Observation 2c53e577-8910-4dbe-a602-3d529fd7ff8e · outbound

This paper cites Simon, Exponential decay of quantum wave functions,.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Simon, Exponential decay of quantum wave functions,

Reference 31

Resolution
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raw_fallback, observed 2026-08-06T23:55:55.496724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation a217171a-4f24-4507-885d-b17e8d31f438 · outbound

This paper cites an unresolved cited work.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:55:55.479400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 0fa9d534-0a0a-4626-a7ac-975c170761b9 · outbound

This paper cites an unresolved cited work.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:55:55.462872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:55:55.320341Z digest=sha256:5471c75617551e1524c544ab6219ab1c7aee25f94aa5de7a8f5fff0ba3aa4138

Observation 004f7850-47c6-46f1-b146-a32a4a842fca · outbound

This paper cites an unresolved cited work.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:55:55.445585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:55:55.326301Z digest=sha256:2d85ff3285744eefd52483a9f4c4d4e4882f3239c2a4a4fd2e0ea8b2e70f753c

Observation c9f55f73-c885-450e-8019-e856253e42e6 · outbound

This paper cites Szabo and N.

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix Szabo and N

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:55:55.428397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T23:55:55.331888Z digest=sha256:492c15e0941664c7320ce8377dee4ae86d38d613a46db3a041c2175a082e478a

Pith citing papers

No inbound Pith citation observations are available.