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Paper Citation Record · LEDGER

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations

As of 12 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2501.10745.

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

pith.paper-citation-record.v1
2501.10745 v3

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T19:09:16.509602Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T14:27:42.063255Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T14:27:44.565279Z

Reference resolution

32 of 32 outbound references displayed

  • verified exact1
  • verified fuzzy22
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d9573a7e-cc21-4e6c-a7e9-ceb5f5872630 · outbound

This paper cites Andreotti, D.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Andreotti, D

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:09:16.898057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T19:09:16.394885Z digest=sha256:725b795d156727be2fe8bfffa4ac774e4d199b6ad4065a931862ba3434f037f1

Observation 4ec7430b-5152-4620-a44e-1750d065c0ab · outbound

This paper cites Benner and M.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Benner and M

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:09:16.889523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation c81e0176-8f54-4dc1-a0d6-cd1c5d0f17fe · outbound

This paper cites Benzi, A direct projection method for Markov chains , Linear Algebra Appl., 386:27–49, 2004.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Benzi, A direct projection method for Markov chains , Linear Algebra Appl., 386:27–49, 2004

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:09:16.878053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 375a9751-6654-4b5c-867d-62af9c361967 · outbound

This paper cites Benzi and P.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Benzi and P

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:09:16.866571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T19:09:16.406493Z digest=sha256:88b83ed60f50fe04561608e291c5ab61ce1ad33d32f29ce0cc5e16d0e9d6def3

Observation 49ef24b4-e735-400a-8c28-473aa61fc759 · outbound

This paper cites Benzi, G.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Benzi, G

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:09:16.856073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T19:09:16.410369Z digest=sha256:aac01dfde2eff008bf3c5d17b59a6db31189a88bdf5ab6cdc344f4f7f3f3ebcb

Observation 33f17842-1154-4610-8ca1-cf4b2a0aa708 · outbound

This paper cites Benzi and C.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Benzi and C

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:09:16.844457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 1592df5b-d543-465c-97c1-ff0f9b3f7a29 · outbound

This paper cites Brin and L.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Brin and L

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:09:16.834022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 37550b41-72b6-495f-8d7a-7f295cc56266 · outbound

This paper cites Enforcing Katz and PageRank Centrality Measures in Complex Networks.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Enforcing Katz and PageRank Centrality Measures in Complex Networks

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-10T19:09:16.561402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation bd9008fc-0c98-49d5-bb8d-bb2950fffd4e · outbound

This paper cites Faccio, M.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Faccio, M

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:09:16.824057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T19:09:16.427272Z digest=sha256:86ec4274577a2fcaa1eea63b54b293a72f6a220c953b03a2d56867a2baf3aaf0

Observation d9ffabcd-9822-4123-bfd1-24b329c9a9bd · outbound

This paper cites Fletcher, Practical Methods of Optimization , John Wiley & Sons, 2013.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Fletcher, Practical Methods of Optimization , John Wiley & Sons, 2013

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:09:16.812087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T19:09:16.430410Z digest=sha256:3b154876e709ea17e7c30ccb157852b423689c4ddb7b50d1b9c99b70bd0b534f

Observation 4b669410-26f9-4e76-ae5b-1581fd8ab621 · outbound

This paper cites Geiger and C.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Geiger and C

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 377619b9-5ce0-4900-a9ce-da3422f2f833 · outbound

This paper cites Gillis and P.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Gillis and P

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:09:16.790817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 3b086b31-6fb4-425d-9b64-40ebf3721dff · outbound

This paper cites an unresolved cited work.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:09:16.780216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation dc816816-87b7-460d-9b08-18db2559138b · outbound

This paper cites Greenbaum, R.-C.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Greenbaum, R.-C

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:09:16.769431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T19:09:16.443269Z digest=sha256:afcb7ed672ce2daca9cb9fdc94ee8b5ff73715b2b1e3ad38559e9291767531c9

Observation a5cac45b-c95b-460c-8c11-8af78380c4e4 · outbound

This paper cites Guglielmi, D.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Guglielmi, D

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:09:16.758679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 3fb7c3b1-75c4-4488-ad1c-60f382f4311f · outbound

This paper cites Matrix nearness problems and eigenvalue optimization.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Matrix nearness problems and eigenvalue optimization

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-10T19:09:16.449839Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T19:09:16.449839Z digest=sha256:ae8851b99cf709aa00c744e2928345405e3506460f56c169129e867f9b4d700e

Observation aaf29f7b-0e9c-4c3b-800d-71309a2bcd6d · outbound

This paper cites Guglielmi, C.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Guglielmi, C

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:09:16.748171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation c59ba397-d265-41dd-8dfd-bb6d5c3ed8a3 · outbound

This paper cites Guglielmi, C.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Guglielmi, C

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:09:16.737747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 9b0c71f2-be2b-43a9-a0da-b4bd89a2f7df · outbound

This paper cites Guglielmi, M.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Guglielmi, M

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:09:16.727649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 33a7be13-46db-4fb3-be9e-baa14faf6cbb · outbound

This paper cites Guglielmi and S.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Guglielmi and S

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:09:16.716851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T19:09:16.466254Z digest=sha256:0947a5f71d12c1211f95b3efdb4debb666920eca472e388f49f932ac0f9937d8

Observation b2da473d-fbe3-46ec-ab37-21baf572c093 · outbound

This paper cites an unresolved cited work.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:09:16.704906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T19:09:16.470276Z digest=sha256:5b3a69b349f2e5e4c2b734ffca773bec1d5cee791431bcf1c5165a72147a4b99

Observation d5daee8c-f5b2-49d3-ba70-a4672fea1f85 · outbound

This paper cites an unresolved cited work.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:09:16.693923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation a3ab6106-1a23-4820-9e9c-e0354539c652 · outbound

This paper cites Hinrichsen and A.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Hinrichsen and A

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:09:16.681619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T19:09:16.477082Z digest=sha256:4a7fcd7bfd242d4a249752adfb0f8ad3d96dc42809e80c3a4765d77c946bbb78

Observation 9637dc8d-4320-4aff-a3f6-f5cdccf9d021 · outbound

This paper cites an unresolved cited work.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:09:16.670233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T19:09:16.480237Z digest=sha256:8f1d5267575d06ae22a9977742ec1d944b377e3af0da689f4bc694b4fdf7009a

Observation 3e0e1949-991c-4a63-be54-1e7947cde807 · outbound

This paper cites Kato, Perturbation Theory for Linear Operators , Springer Verlag, New York, N.Y., 1995.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Kato, Perturbation Theory for Linear Operators , Springer Verlag, New York, N.Y., 1995

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:09:16.657195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T19:09:16.484376Z digest=sha256:57ef94d083e66be893287da5d4c7dee570b642b981959dcb4aa0bb54d44b9e32

Observation afbbdea9-c6c7-426d-bdf6-936a657bbc6f · outbound

This paper cites Kressner and M.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Kressner and M

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:09:16.646137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T19:09:16.488184Z digest=sha256:8f6dbffc6ab0e00701ad4008d57b258414d8028bc286b22cd1339aed2e327513

Observation 08935ca5-eb36-4724-a35b-510063d1c1d9 · outbound

This paper cites Landau, Zur relativen Wertbemessung der Turnierresultate , Deutsches Wochenschach, 11:366–369, 1895.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Landau, Zur relativen Wertbemessung der Turnierresultate , Deutsches Wochenschach, 11:366–369, 1895

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:09:16.634773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation da0ef32c-d684-43ef-b4d5-72f1d21a015b · outbound

This paper cites an unresolved cited work.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:09:16.622956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T19:09:16.494991Z digest=sha256:7ee5e87901e8c17a72d1ce876470ab18ea8de6eac560cff05511d1fcf5b06bf5

Observation 32b618a5-410f-4ddd-b1c1-09def79fa882 · outbound

This paper cites an unresolved cited work.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:09:16.610726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T19:09:16.499205Z digest=sha256:89ca8977d6ce4c84ee806662b65d9ae9ef793fc3a2297759f441183440abb748

Observation 4227349a-4d5b-468a-ae85-19fbf976ab2a · outbound

This paper cites an unresolved cited work.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:09:16.598929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T19:09:16.502109Z digest=sha256:c5e05315c93cd7fc23bfeef8e982d28d88fa58a3b358694f7162999524d1fe45

Observation c9ba8716-ea3a-4a66-b83b-538295e4db52 · outbound

This paper cites Nicosia, R.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Nicosia, R

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:09:16.586740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T19:09:16.505649Z digest=sha256:016b06d9427183f25784f220b3b406f93766571ff09305784f431422b7fbfa43

Observation 11dab66f-9b38-4491-a75d-ac3fd4486451 · outbound

This paper cites an unresolved cited work.

Changing the ranking in eigenvector centrality of a weighted graph by small perturbations Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:09:16.573098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T19:09:16.509602Z digest=sha256:b9779cc125b58fc17b889f182b2d7f01b3118fe14dc5f2d0ac923f2c67bbb0cf

Pith citing papers

Observation 469fae23-5836-4066-8764-85f328884c56 · inbound

The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs cites this paper.

The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Changing the ranking in eigenvector centrality of a weighted graph by small perturbations

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-05T14:27:44.625878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T14:27:42.063255Z digest=sha256:20ad7160b6344af45ceb92bb74b6f9795674f3251ae0f837930a34a155dcd621