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Paper Citation Record · LEDGER

The Exact Maximum of the Spectral Sum of Graphs

As of 14 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 2026-08-14T06:32:32.682623+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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  • unresolved19
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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=sha256:5bc345a2e74dcc80e7f7184c587efe88dc946cd43e7e824f44cac24872d40c8b

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=sha256:5db80ec1e01654758c15edbd8cf1818fb875f78c80f118a5d5e0e66c6f1de9a6

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=sha256:6864f2765ae4708573acae53271ed0134cab0fa6483afa31ec79c6cb0e7c127d

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=sha256:3b3e1b53b221d7c758102071100927e52747c0b194fc5c64b1d09c2b8980395d

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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:14:47.910592Z digest=sha256:9bfe0695dd83d1cf50ea04fdb1bf22f82b86b80a327183cc8bf0036ec157e24c

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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:14:47.914077Z digest=sha256:96215208fb11adbf786e0a59842ea3fc1c84f7fe121d85e29a22d235a72a6b04

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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:14:47.917536Z digest=sha256:32e834f4099a20af2111360e726406c78d6de82981585c920eca70b30a0baa9d

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:14:47.920914Z digest=sha256:f3df83fdeaeb414b1ae6fe0327216c0b10d55060a0bcbfbabc71c9103db8ca9d

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:aa841a7fef96a1de1502754cc10d91d2867437f8beaaf8beba6cfffc81debe73

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

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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=sha256:9e21fc9e56f32fcb27f1d67026087fd067bfa3c4c902b2b1214bc48c6f228aa5

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:14:47.930267Z digest=sha256:baae1a73fd10bee4acee16d8fdb70ea2ef74fc232d4ed7e4483fb7e52b5847d8

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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:14:47.933597Z digest=sha256:4ebd3c9b810bb53ef91d35a2fd20e4661f2de54c17f26589f01057eb447199ba

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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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=sha256:74c3d43a1e186b77b88ac2a4df6799017a205aaac49e0301df322cdd5e077f6e

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=sha256:8fb7906a30b188cbefea4bb4c5cac9321f8c2731ee821386490ec0b326ca5757

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:f62ff0dcf02983e8bc76e0e11c0745a2606bf25786f03f0f8d01d6ef42c64896

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

Resolution
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=sha256:9f1fc125ba7bb2d5a7b804f339f1f1741ad65af73199c5555ae5c98335d9f8a4

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:14:47.950006Z digest=sha256:5b183cc4a137634bf075f93d37fd429e8986dda4ea1e7744c9a6b2d2639c4c8a

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=sha256:453cbae1ba54b9574b00d7b3b8a7aef22d4be38d65bb70dbaa2addffd277031b

Pith citing papers

No inbound Pith citation observations are available.