Pith. sign in

Paper Citation Record · LEDGER

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

As of 13 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 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.394885Z digest=sha256:2cfa4b7309f98589c4dbfd8c3f991f937768a3255778eaa31a6341327722da9c

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.399592Z digest=sha256:67f61f6449b34ead42e5b8e3ceb75ec40a6c16633507b450fa0be8b3e4c01317

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.402698Z digest=sha256:14cfc2f3041f2a56f422a86a16ea8a76d48c0165836622fc614055d92438b8d2

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.406493Z digest=sha256:b2e8c82841d23a81d4b3794ea75e0f8087539181cb86b6da97f6cdce2016a9f6

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.410369Z digest=sha256:6635da8c12fc6b2e1aee5c9ccd2621fb9163f9b23019f84da07968bd38bb0130

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.415086Z digest=sha256:ac417253be7fe53707a016e90a6ce14b837812f54f0eed3c10b2543567807581

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.419109Z digest=sha256:05bcb822d6993613a9a79d7c14da176dc82879363782d84612cf58b312c40626

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.423203Z digest=sha256:53828e0f35b93b63d6545fb8870b8c2054a03456e0346d799e07bf036469a505

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.427272Z digest=sha256:1bf739d6ffc35f2434ae738fc354fd21f387b84027e30a1827e01fd67b2b0ca4

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.430410Z digest=sha256:051de6dd1b2d37f31e6a399e5f960f0673192d9dd5e990d2b6ffb1e2dbdeb7c2

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
raw_fallback, observed 2026-08-10T19:09:16.801499Z

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.

source=pdf_text observed=2026-08-10T19:09:16.433556Z digest=sha256:612cc6d6d0717e45f59e4c72cd6402eb532923330b5050914357d7f5bf8ba742

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.436660Z digest=sha256:81104efcd7fa90ad35418103eb3c6cba7a11425d8ca4ff5cf31c1cb112c4439f

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.440488Z digest=sha256:126f35d978124668fe7bc6e8542c4ac7b299622ffa9cc9ae2b0185e7956c6136

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.443269Z digest=sha256:d8fc8e525a81c37374aa29a85b82028368b9e87a01d936b8e01b3ec720de5b6e

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.446203Z digest=sha256:0e116ccd9500bd342d737a0e2eabf2a2328cfe55ebb3ec6e116a5ecd9e840464

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.454112Z digest=sha256:248a20d26118d7ba262bf71b469b1ab65ec619221ebb4496b9d03f6133ed5290

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.458296Z digest=sha256:6675820cda0c372b7857060cfcc99d282175c438c41020cf9ff064cc19b34cf1

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.462462Z digest=sha256:250150cfbd9cab2e277ccfa55a7d0b78da0ccbcc0c3ce410cfa97acb9d33c46b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.466254Z digest=sha256:1682d24e9e4bb87ab0fe0bf42b6f7f3cd22dc0fb1214028961475b66ad7d99c2

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.470276Z digest=sha256:c33adf0ee14cdb572753e234093ca6b60c2182f4e2ad832e6ad6f930eb4f73d5

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.473646Z digest=sha256:8af66c4eb76313b5dfc95ea1e108c6bf0ef895c896983d17a14b1d8e17deca08

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.477082Z digest=sha256:546311f59e92efae4a3dc401e15c76593840940fb845b57cd87bfed99fa01817

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.480237Z digest=sha256:c4bb55a163d78af47b04abd1fd365556bb439885f40e0a4486a746223625af31

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.484376Z digest=sha256:8b428ab449c5e5a91906b79d0797d2045237eaa2ae1af80159f9763ea6a4c7f4

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.488184Z digest=sha256:bef274da1ea2b5d6cf99488b958ca32c6cd7ee2e4de5eca7a3463f1900e9f42c

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.491416Z digest=sha256:76b410e819176d936ad5dcbd505814bc8660ff6b76cfe6fd42b85d5a677f0013

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.494991Z digest=sha256:d7a57776ad78422b477fc65952e9780fdb6e43302be0ddeedfa08e9327a76aab

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.499205Z digest=sha256:4714d5ec64b7ef94951c1e6e3324db04653921db2d8ab8260724c8c3ca1ed2fe

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.502109Z digest=sha256:fba86c97274d22ce1adb10b8f8500869d2145ac8319875a5962422325a9044e9

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.505649Z digest=sha256:7b0fee86f04e73f49e6ea68ce6ce586d6baca0007795eef944f596de63511473

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T19:09:16.509602Z digest=sha256:87b0f4bcceb7107181c81c66071119c3da17f93dbbf0a2bf0559bb63d131fe20

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-05T14:27:42.063255Z digest=sha256:405d61a4fe7f972ea961cf999ae229401dd6eb42eb2fe1cf5e88460077d997b7