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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 13 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 2026-08-13T06:32:02.005865+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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+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

Resolution
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raw_fallback, observed 2026-08-06T23:55:55.943735Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T23:55:55.164347Z digest=sha256:b45767f57c20da9ed09241f929557f3c211b94f6adbda4b2121c56a6d73c837a

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=sha256:53c2ddc208898ab7e587ab94f5553bc0fc1211f3febb39a56416b7af78e3474d

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

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

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+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

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

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T23:55:55.180568Z digest=sha256:fcd2abe71838bea43d4ad1e255844b74c7d803297b7f91d96eb5cc7877e33910

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T23:55:55.187777Z digest=sha256:07ce4af51e3b24f3a89fa9a8c2939b9291b5f15aede7ccb4c37380c0d67e65a9

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

Resolution
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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T23:55:55.192197Z digest=sha256:55095eca216026594f5f407efccd7e67d5be6c5adfcab36688b19945ca911f3b

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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raw_fallback, observed 2026-08-06T23:55:55.804026Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T23:55:55.197151Z digest=sha256:a05357d0b0022c5d53840736acda4e5f72efe2010ff747e8ce0a2a732b44b335

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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raw_fallback, observed 2026-08-06T23:55:55.788102Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T23:55:55.202463Z digest=sha256:c9085b7bf3bd7ce34be7c11302b85dc7b4270436c44f5b025b0c792c3e7af1ba

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T23:55:55.207617Z digest=sha256:ba485760a32b7071f495f717c757755fe274daca51d5200a55536608b2bceb68

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T23:55:55.212855Z digest=sha256:b9d22bd5bffacc6af0a9f89bf941396d8a64dd40217092997424a75e2091cde6

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
verified fuzzy
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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T23:55:55.217871Z digest=sha256:b738dec54bce3fe1a3a821db15ff81ee138b8641d50f001dc2a00898c46e8c28

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T23:55:55.222497Z digest=sha256:1f59b74c9729d81941829233ccbb237e7547644c8c92dd8973839163d1b1ba21

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
verified fuzzy
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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T23:55:55.228044Z digest=sha256:da4cb4144315b248047ac7a415b06630457d5f177a223ba072884f1d86d7317e

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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source=pdf_text observed=2026-08-06T23:55:55.232872Z digest=sha256:c357089f99d7adc2f48c4e247dc1e967a48168c6d1260d609fda4791119a0f65

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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T23:55:55.241724Z digest=sha256:25c654b209d9576aef64c6a1db8f59c0bc42d282ddccbfb5054f8ef655bda44a

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T23:55:55.246686Z digest=sha256:8473ce0a32c822d3db27fb7d6fff891711128145a0f3c67b5e78abb9530f50e8

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T23:55:55.252177Z digest=sha256:e0bf6568aa8f67916e5a140365080a1ba55fad0f65bc071741dd58cff7290c28

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T23:55:55.257662Z digest=sha256:01e10f2f378836a0357488aed27a0ac15f46f0f6e183a4f4cbab84a14e23f449

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T23:55:55.262777Z digest=sha256:88abafed837eb23c63920a88ee71cdf070b8770e0a96d32dc93ccfd1251b9999

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T23:55:55.268417Z digest=sha256:664aab4987812aebc75edb80f8616fe3e71322a721c6a39119ee000f48b9d0b4

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

Resolution
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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T23:55:55.274330Z digest=sha256:e87641775310f6e18c13fc8222e509f1ad80ad30d236498576a75d2bb8b4652b

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

Resolution
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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 2026-08-13T06:32:02.005865+00:00.

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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

Resolution
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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T23:55:55.284801Z digest=sha256:fed1713bd131c8f4de010adce544897ff836271d790f8f7e9744ffae29c59ac7

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T23:55:55.296168Z digest=sha256:d6e7b8846fa43d7797bf13bc5e585c4701afdbd432030aa62c3f80a6a726bd58

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 2026-08-13T06:32:02.005865+00:00.

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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
verified fuzzy
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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T23:55:55.320341Z digest=sha256:6923b88068f8dfb2b0f24034739abfa20728984df9429807549169a1a83f538c

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T23:55:55.326301Z digest=sha256:3803f73c15546dce1fb43160ccb650d33640cbed978c11326d1ec80f5d704a89

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T23:55:55.331888Z digest=sha256:3e88a0dd8dc2bcb651ec9316594674e883b71dba74c433c63c4ec53b8d5093d9

Pith citing papers

No inbound Pith citation observations are available.