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Paper Citation Record · LEDGER

The Exact Maximum of the Spectral Sum of Graphs

As of 10 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2607.23081.

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

pith.paper-citation-record.v1
2607.23081 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T04:14:47.953114Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

19 of 19 outbound references displayed

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  • verified fuzzy0
  • unresolved19
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cab05783-7255-442b-a4f6-aa1d5ff949b3 · outbound

This paper cites Aouchiche and P.

The Exact Maximum of the Spectral Sum of Graphs Aouchiche and P

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:14:47.896064Z digest=sha256:ebed951508d605f8fcbd026b423264ca28559ab4133692beffcd1c3864ce9a90

Observation 38f786b7-78c7-42de-be07-0ee972e15e75 · outbound

This paper cites Cvetković and P.

The Exact Maximum of the Spectral Sum of Graphs Cvetković and P

Reference 2

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:14:47.900019Z digest=sha256:be2a75be0aac89216488b597d625f812e647255f5358248b9805ae1c4b3bc266

Observation ff2c8de6-6a73-4ff7-8fc2-055476df68a2 · outbound

This paper cites Cvetković and S.

The Exact Maximum of the Spectral Sum of Graphs Cvetković and S

Reference 3

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:14:47.903283Z digest=sha256:1b31263a63a4b88c6869610b7893c8e8290a0b06eaeb7f89a4959628283598a3

Observation 4596b805-952d-40aa-91d2-cdf245735486 · outbound

This paper cites an unresolved cited work.

The Exact Maximum of the Spectral Sum of Graphs Unresolved cited work

Reference 4

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:14:47.906761Z digest=sha256:61bd9bc61f0382b1b9304241ad54d203dcb489c1e563bfb341a51d307c3e2328

Observation 5978e44a-d61e-40d3-bc83-43528884b54c · outbound

This paper cites Ebrahimi B., B.

The Exact Maximum of the Spectral Sum of Graphs Ebrahimi B., B

Reference 5

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no resolver link, observed 2026-08-01T04:14:47.910592Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:14:47.910592Z digest=sha256:f8422ae76527618fe10e535940c468dfa37f39ec6794de46c30a3dd51e40b328

Observation 6d22454f-0d80-462d-af56-d74b01e7db62 · outbound

This paper cites Fan,On a theorem of Weyl concerning eigenvalues of linear transformations I, Proc.

The Exact Maximum of the Spectral Sum of Graphs Fan,On a theorem of Weyl concerning eigenvalues of linear transformations I, Proc

Reference 6

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no resolver link, observed 2026-08-01T04:14:47.914077Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:14:47.914077Z digest=sha256:702fb921f2e291ad9049920f9c3348c9939438343e48f0546d60dfb859239d9f

Observation f777fc26-1a99-440a-9167-c37f4e7522ea · outbound

This paper cites Gutman,The energy of a graph, Ber.

The Exact Maximum of the Spectral Sum of Graphs Gutman,The energy of a graph, Ber

Reference 7

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no resolver link, observed 2026-08-01T04:14:47.917536Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:14:47.917536Z digest=sha256:4b62cccb1ae06ac3dccd267586b71b468fe2973ee2fba3113ad60b4eae89f054

Observation 05d5b139-c102-4fc5-8807-af0f88049220 · outbound

This paper cites an unresolved cited work.

The Exact Maximum of the Spectral Sum of Graphs Unresolved cited work

Reference 8

Resolution
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no resolver link, observed 2026-08-01T04:14:47.920914Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:14:47.920914Z digest=sha256:9105008724e232814cdc8b83558afd78cb6acd815dbff9695f3e2a3448797b98

Observation 0f3fbad7-915f-48c7-b515-1f29f4bbd106 · outbound

This paper cites Maximum spectral sum of graphs.

The Exact Maximum of the Spectral Sum of Graphs Maximum spectral sum of graphs

Reference 9

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no resolver link, observed 2026-08-01T04:14:47.923742Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:14:47.923742Z digest=sha256:fd140e4a29d94ce7d50b8e177475f4574b917377ab3dc13ec197a89c77af45e5

Observation 73272068-2a18-402f-9bde-088477b5bfb1 · outbound

This paper cites Kumar, B.

The Exact Maximum of the Spectral Sum of Graphs Kumar, B

Reference 10

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:14:47.927260Z digest=sha256:cd63c1018b88a6cad42839fad2303910cccddc9575f84bde6e607e86a85c232a

Observation c3e7431f-9a00-4b51-a208-3211cf4e9367 · outbound

This paper cites Mohar,On the sum ofklargest eigenvalues of graphs and symmetric matrices, J.

The Exact Maximum of the Spectral Sum of Graphs Mohar,On the sum ofklargest eigenvalues of graphs and symmetric matrices, J

Reference 11

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:14:47.930267Z digest=sha256:01522863f6e01af965e4e0fd013559bef0b4ac30ee832506c2c566774fc861e9

Observation 24bf1833-1313-4588-94d3-2735eab10d5b · outbound

This paper cites Nikiforov,Linear combinations of graph eigenvalues, Electron.

The Exact Maximum of the Spectral Sum of Graphs Nikiforov,Linear combinations of graph eigenvalues, Electron

Reference 12

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:14:47.933597Z digest=sha256:f5f6a929906e9bbe4d7ab6792ac8f008e429f4d4586dd93953ea42d05980d389

Observation 7407a7c0-8cf3-4639-b625-df65331483d3 · outbound

This paper cites Nikiforov,Beyond graph energy: Norms of graphs and matrices, Linear Algebra Appl.506 (2016) 82–138.

The Exact Maximum of the Spectral Sum of Graphs Nikiforov,Beyond graph energy: Norms of graphs and matrices, Linear Algebra Appl.506 (2016) 82–138

Reference 13

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no resolver link, observed 2026-08-01T04:14:47.936651Z

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Unavailable: canonical work link unavailable.

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Observation 280707e1-624c-4f57-a9fa-7dd10125d160 · outbound

This paper cites Pinkus,Totally Positive Matrices, Cambridge Tracts in Mathematics 181, Cambridge Uni- versity Press, Cambridge, 2010.

The Exact Maximum of the Spectral Sum of Graphs Pinkus,Totally Positive Matrices, Cambridge Tracts in Mathematics 181, Cambridge Uni- versity Press, Cambridge, 2010

Reference 14

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no resolver link, observed 2026-08-01T04:14:47.939339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:14:47.939339Z digest=sha256:e350cecd81accdde82a6baad5c90b319e8bfd653ef682f6d8c68bd6d7210008c

Observation 88d124a2-e470-4a27-8bc5-b35f53670aa1 · outbound

This paper cites Rocha,Partial sum of eigenvalues of random graphs, Appl.

The Exact Maximum of the Spectral Sum of Graphs Rocha,Partial sum of eigenvalues of random graphs, Appl

Reference 15

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:14:47.941960Z digest=sha256:69b326bb2bf7634f074219e91780e2bff01494306513a9e7e857288819a60c0c

Observation ad5043f8-0ab2-43e4-980a-03556841bd94 · outbound

This paper cites Stanić,Inequalities for Graph Eigenvalues, London Mathematical Society Lecture Note Series 423, Cambridge University Press, Cambridge, 2015.

The Exact Maximum of the Spectral Sum of Graphs Stanić,Inequalities for Graph Eigenvalues, London Mathematical Society Lecture Note Series 423, Cambridge University Press, Cambridge, 2015

Reference 16

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:14:47.944583Z digest=sha256:33fb6995c38ef07581b34daef841548a8da94a000075ba80dd53ae52f8c9edca

Observation d3cb983b-83f2-4968-a714-1e645239c916 · outbound

This paper cites an unresolved cited work.

The Exact Maximum of the Spectral Sum of Graphs Unresolved cited work

Reference 17

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unresolved
no resolver link, observed 2026-08-01T04:14:47.947365Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:14:47.947365Z digest=sha256:256b3ff5e7b246b48902a2f8b253d195fd8ae0013a8a2e777a9d4da66eb9569e

Observation 5a480db6-abaa-410b-86f4-bb33b2d76303 · outbound

This paper cites Sum of the $k$ Largest Eigenvalues of Symmetric Matrices: Theory and Applications.

The Exact Maximum of the Spectral Sum of Graphs Sum of the $k$ Largest Eigenvalues of Symmetric Matrices: Theory and Applications

Reference 18

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no resolver link, observed 2026-08-01T04:14:47.950006Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:14:47.950006Z digest=sha256:cf31e0dcd8f4d345b26e131e9b3d4e1d6fc77fb35fdddf9814e4b80c6ec17692

Observation 44e62088-4133-4392-b924-ca3137813b08 · outbound

This paper cites Wang,A simple proof of Descartes’s rule of signs, Amer.

The Exact Maximum of the Spectral Sum of Graphs Wang,A simple proof of Descartes’s rule of signs, Amer

Reference 19

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:14:47.953114Z digest=sha256:b5c13c4694442413833a8f01f58ba1c10ecfcdbf32e44e3b47d84c13c6c70dfb

Pith citing papers

No inbound Pith citation observations are available.