Paper Citation Record · LEDGER

Graph Eigenvalues and Projection Constants

As of 19 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 1 inbound Pith citation observation for arXiv:2608.02429.

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

pith.paper-citation-record.v1
2608.02429 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T07:42:49.591495Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:36:53.765267Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T06:16:15.895014Z

Reference resolution

36 of 36 outbound references displayed

verified exact3
verified fuzzy0
unresolved33
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a47d7397-c2d2-4c20-a04c-1094346008eb · outbound

This paper cites and Goethals, J.

Graph Eigenvalues and Projection Constants and Goethals, J

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:46.615642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 077510c3-9017-4622-b17a-5d1c8e0c8416 · outbound

This paper cites and Johnson, Charles R.

Graph Eigenvalues and Projection Constants and Johnson, Charles R

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:46.691576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54f4d6db-5ea7-4898-b153-f40d2695f2c1 · outbound

This paper cites , title =.

Graph Eigenvalues and Projection Constants , title =

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:46.757216Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 429e17e2-f436-486d-831c-1426c40c2f35 · outbound

This paper cites , title =.

Graph Eigenvalues and Projection Constants , title =

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:46.826901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a54ab4ef-88ef-41c5-8631-fa0ab9d2b84b · outbound

This paper cites and Li, S.

Graph Eigenvalues and Projection Constants and Li, S

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:46.946662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e24ec49d-ef84-421a-b655-f97d7172deb4 · outbound

This paper cites Strengthened upper bound on the third eigenvalue of graphs.

Graph Eigenvalues and Projection Constants Strengthened upper bound on the third eigenvalue of graphs

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-04T07:43:20.449168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d7e827b6-e1a0-407e-bbde-5573cd1f3e8e · outbound

This paper cites , title =.

Graph Eigenvalues and Projection Constants , title =

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:47.135709Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2d450ded-846a-471d-8dd1-777d0123e1f9 · outbound

This paper cites , title =.

Graph Eigenvalues and Projection Constants , title =

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:47.210043Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6e6ddc0-573e-4de1-8383-5601c0e9483b · outbound

This paper cites , title =.

Graph Eigenvalues and Projection Constants , title =

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:47.296396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 89b165ee-c726-4039-8d33-2c5f1ee1a0e9 · outbound

This paper cites an unresolved cited work.

Graph Eigenvalues and Projection Constants Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:47.391495Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 553545d4-ddb4-47d2-b309-f2db5f5b8390 · outbound

This paper cites Maximum spectral sum of graphs.

Graph Eigenvalues and Projection Constants Maximum spectral sum of graphs

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-04T07:43:20.187629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ec7bc5da-04e3-423f-8799-6513269854ab · outbound

This paper cites Generalized Nordhaus--Gaddum Inequalities for Eigenvalues.

Graph Eigenvalues and Projection Constants Generalized Nordhaus--Gaddum Inequalities for Eigenvalues

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-04T07:43:19.967902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2aac7eb8-0a2d-42f9-bd29-f407b05ce774 · outbound

This paper cites an unresolved cited work.

Graph Eigenvalues and Projection Constants Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:47.679202Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd26167c-4522-4cfe-925e-8ab7a4dd5e0e · outbound

This paper cites an unresolved cited work.

Graph Eigenvalues and Projection Constants Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:47.786013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0131a7e4-010d-4354-8180-851c015dcfc3 · outbound

This paper cites Journal of Algebra , volume=.

Graph Eigenvalues and Projection Constants Journal of Algebra , volume=

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:47.867315Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e78ae374-e475-4fa2-a5a3-01c3f9dd1357 · outbound

This paper cites an unresolved cited work.

Graph Eigenvalues and Projection Constants Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:47.924273Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eeefd2bf-8ed7-49da-88ac-dc11b8d146aa · outbound

This paper cites an unresolved cited work.

Graph Eigenvalues and Projection Constants Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:48.025281Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 87b601e0-7b20-4a24-bcbe-e24f4aa7b912 · outbound

This paper cites Annals of mathematics , pages=.

Graph Eigenvalues and Projection Constants Annals of mathematics , pages=

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:48.118045Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 571c07da-00aa-4361-b115-d7080e642246 · outbound

This paper cites Annals of mathematics , volume=.

Graph Eigenvalues and Projection Constants Annals of mathematics , volume=

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:48.169134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7974d6b2-7d6e-4c93-ae14-59a9451277e7 · outbound

This paper cites Equiangular lines, Incoherent sets and Quasi-symmetric designs.

Graph Eigenvalues and Projection Constants Equiangular lines, Incoherent sets and Quasi-symmetric designs

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:48.265316Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74b41fe3-2401-4e36-8048-4aef13053d50 · outbound

This paper cites 1971 , publisher=.

Graph Eigenvalues and Projection Constants 1971 , publisher=

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:48.359589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 51db2261-d529-4668-b980-c8df2c7c0a31 · outbound

This paper cites an unresolved cited work.

Graph Eigenvalues and Projection Constants Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:48.428557Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a899b617-349d-489a-8d6f-c9278abba315 · outbound

This paper cites Proceedings of the London Mathematical Society , volume=.

Graph Eigenvalues and Projection Constants Proceedings of the London Mathematical Society , volume=

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:48.526962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8372d70e-cc42-4d53-a64a-4a1edbc98a62 · outbound

This paper cites Projection constants , journal =.

Graph Eigenvalues and Projection Constants Projection constants , journal =

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:48.597059Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6daab41-bae6-49f2-b46c-ae9429dfb252 · outbound

This paper cites an unresolved cited work.

Graph Eigenvalues and Projection Constants Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:48.695474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b90f568-fefc-4acc-8b16-b3cb5cbe5be7 · outbound

This paper cites an unresolved cited work.

Graph Eigenvalues and Projection Constants Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:48.790434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65a424f9-be28-4d66-8314-1665a4723603 · outbound

This paper cites , title =.

Graph Eigenvalues and Projection Constants , title =

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:48.869889Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cca8f362-f97a-455d-be3a-ced0b0b13f67 · outbound

This paper cites and Cox, C.

Graph Eigenvalues and Projection Constants and Cox, C

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:48.944301Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8d4215e-28a2-487c-90a1-3feec71a55db · outbound

This paper cites an unresolved cited work.

Graph Eigenvalues and Projection Constants Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:49.039075Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57fc514f-261c-4d17-b05c-f689f8967391 · outbound

This paper cites an unresolved cited work.

Graph Eigenvalues and Projection Constants Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:49.108976Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c79d26f-b6b4-432d-83e9-53cfd06a7d86 · outbound

This paper cites Norms of minimal projections , journal =.

Graph Eigenvalues and Projection Constants Norms of minimal projections , journal =

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:49.174722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c39c589-f75f-4f41-95de-b62fc4f7e3f5 · outbound

This paper cites Spaces with maximal projection constants , journal =.

Graph Eigenvalues and Projection Constants Spaces with maximal projection constants , journal =

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:49.262260Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 321e9dee-3c8b-4294-84c2-7d87f4d1b389 · outbound

This paper cites , title =.

Graph Eigenvalues and Projection Constants , title =

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:49.328781Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4689904-1daa-4fc5-ad72-675dc8eda20c · outbound

This paper cites and Skrzypek, L.

Graph Eigenvalues and Projection Constants and Skrzypek, L

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:49.405245Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a0d5041e-22d7-4240-b8fb-a15e808dc9f5 · outbound

This paper cites A simple proof of the.

Graph Eigenvalues and Projection Constants A simple proof of the

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:49.495662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a0085fe-39af-4bd3-b187-ad0f979ceb7f · outbound

This paper cites On the value of the fifth maximal projection constant , journal =.

Graph Eigenvalues and Projection Constants On the value of the fifth maximal projection constant , journal =

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-04T07:42:49.591495Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 0b4f71ba-0486-4cb8-b978-a2458f6ce8c6 · inbound

Maximal Projection Constants and Extremal Vector Configurations: Some Conjectures and Examples cites this paper.

Maximal Projection Constants and Extremal Vector Configurations: Some Conjectures and Examples Graph Eigenvalues and Projection Constants

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:36:53.827769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.