Paper Citation Record · LEDGER

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions

As of 13 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2412.16073.

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

pith.paper-citation-record.v1
2412.16073 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T10:58:01.708704Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T23:55:55.246686Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T23:55:55.402249Z

Reference resolution

26 of 26 outbound references displayed

verified exact3
verified fuzzy15
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 26c4f283-183a-4950-a657-80a8423e332f · outbound

This paper cites an unresolved cited work.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-11T10:58:02.330808Z

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.

Observation ba6fd136-4009-418d-b393-9044c575813d · outbound

This paper cites Hearnshaw and A.V.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Hearnshaw and A.V

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:58:02.309990Z

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.

Observation 4b0d5246-3970-44f5-9e0f-3fcc8dbc1f51 · outbound

This paper cites an unresolved cited work.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-11T10:58:02.289639Z

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.

Observation a12c2572-1d7b-4002-8393-917c66fab145 · outbound

This paper cites Cioslowski.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Cioslowski

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:58:02.269004Z

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.

Observation 5e003d72-2ceb-46a0-82d8-a1055ec949ea · outbound

This paper cites Cioslowski.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Cioslowski

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:58:02.248191Z

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.

Observation 93584cde-0b2b-4a18-b5db-9db26ce003bd · outbound

This paper cites Hearnshaw and A.V.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Hearnshaw and A.V

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:58:02.222613Z

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.

Observation 6aa37700-94d1-4b14-bf3c-76e11deeb0f9 · outbound

This paper cites Boundedness of the Fifth Derivative for the One-Particle Coulombic Density Matrix at the Diagonal.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Boundedness of the Fifth Derivative for the One-Particle Coulombic Density Matrix at the Diagonal

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-11T10:58:01.826194Z

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.

Observation 2b38f44d-d71b-4a3f-baa4-b8cd1f1ca0a8 · outbound

This paper cites Limited regularity of a specific electronic reduced density matrix for molecules.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Limited regularity of a specific electronic reduced density matrix for molecules

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-11T10:58:01.798962Z

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.

Observation 0371236b-9dc3-4e29-b0b0-9b9ee672135a · outbound

This paper cites Regularity of the (N-1)-particle electronic reduced density matrix for molecules with fixed nuclei and N electrons.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Regularity of the (N-1)-particle electronic reduced density matrix for molecules with fixed nuclei and N electrons

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-11T10:58:01.769196Z

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.

Observation 69bfeda9-85a1-4440-aab1-8ae06be4b49e · outbound

This paper cites an unresolved cited work.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-11T10:58:02.201587Z

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.

Observation b8f92bbf-03dd-47a0-9e56-0bc58c129105 · outbound

This paper cites Friesecke.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Friesecke

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:58:02.180652Z

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.

Observation 8734e7e6-2c45-4308-b1d6-36d87d072d1e · outbound

This paper cites Fournais and T.Ø.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Fournais and T.Ø

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:58:02.161965Z

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.

Observation 820e6fb4-e6ec-4940-8f63-6bf51eabd82f · outbound

This paper cites an unresolved cited work.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-11T10:58:02.143979Z

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.

Observation b771df85-4992-4316-a7f3-b52b12438284 · outbound

This paper cites an unresolved cited work.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-11T10:58:02.120717Z

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.

Observation a77dcb29-0d80-461f-9680-739b83fad657 · outbound

This paper cites an unresolved cited work.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-11T10:58:02.099885Z

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.

Observation b6edd948-4960-41aa-aa98-b67c347993f3 · outbound

This paper cites Lieb and R.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Lieb and R

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:58:02.080503Z

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.

Observation 90e8c8e2-b6c4-427a-9610-78526a0e5310 · outbound

This paper cites Birman and M.Z.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Birman and M.Z

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:58:02.052616Z

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.

Observation cb9d45d8-f3a5-4a7c-b41b-111535f79791 · outbound

This paper cites Hoﬀmann-Ostenhof, T.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Hoﬀmann-Ostenhof, T

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:58:02.032323Z

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.

Observation f0d9a5e6-ca0a-489a-9848-6a7319fd69d6 · outbound

This paper cites Fournais, M.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Fournais, M

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:58:02.008379Z

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.

Observation 2c6d6c47-5fd9-4635-86ed-b6380671ca09 · outbound

This paper cites Birman and Solomjak M.Z.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Birman and Solomjak M.Z

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:58:01.989766Z

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.

Observation ce6aa10e-2dfb-4255-b926-aae66a0743e4 · outbound

This paper cites an unresolved cited work.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-11T10:58:01.971181Z

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.

Observation 891e83cd-e90b-404e-aead-d512ee7c9d29 · outbound

This paper cites Adams and Fournier J.J.F.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Adams and Fournier J.J.F

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:58:01.947873Z

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.

Observation 53805a7e-50ed-4d5c-8e8e-9ec4c6fa0b53 · outbound

This paper cites an unresolved cited work.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-11T10:58:01.929867Z

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.

Observation 31bef873-71b0-4248-9489-1fbe8388fae0 · outbound

This paper cites Bergh and J.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Bergh and J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:58:01.904923Z

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.

Observation 10c3dc92-3bf2-48b2-9890-09f1455fb292 · outbound

This paper cites Brasseur.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Brasseur

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:58:01.883313Z

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.

Observation 65dec64e-08ee-4ef5-83db-a1cea4231cfc · outbound

This paper cites Mironescu, E.

Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions Mironescu, E

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:58:01.848236Z

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.

Pith citing papers

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

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix cites this paper.

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: verified exact; local_arxiv, observed 2026-08-06T23:55:55.409005Z

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.