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Paper Citation Record · LEDGER

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture

As of 5 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2606.06987.

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

pith.paper-citation-record.v1
2606.06987 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T21:59:29.534156Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+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

36 of 36 outbound references displayed

  • verified exact2
  • verified fuzzy0
  • unresolved34
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3e8127ac-abe5-43c8-9f3c-697319ec1909 · outbound

This paper cites Babai and B.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Babai and B

Reference 1

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unresolved
no resolver link, observed 2026-06-27T21:59:29.534156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:41278e0569d0c743a29275e941879c1aa8a2de919ef7e80ffa192b4bca1b5a00

Observation e1c18d2c-8114-4034-acf5-9082dbe12902 · outbound

This paper cites Byrne, D.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Byrne, D

Reference 2

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:0f6749f4f6b1c1541abf21190897b413e458133639b2df9877a0579c65262662

Observation 36337fe1-1011-4631-b2d4-6f886a25dd99 · outbound

This paper cites an unresolved cited work.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Unresolved cited work

Reference 3

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no resolver link, observed 2026-06-27T21:59:29.534156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:d2dc6dbbe975eaa4065f2e49c5e0eb89acc161b6f0b78c3ae6feaf336478dc84

Observation c802850e-78cf-4035-95e5-1a270523dd85 · outbound

This paper cites Chen, A.-M.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Chen, A.-M

Reference 4

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:5d9b99ccdaae6dcd8d25d7f47ce76499d5f864061a50aee4a6e0b0792f4523e5

Observation 5ede14dc-02b7-4ec6-9ef1-9706add14a0d · outbound

This paper cites an unresolved cited work.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Unresolved cited work

Reference 5

Resolution
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no resolver link, observed 2026-06-27T21:59:29.534156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:db6e75b7d19c3c907f47f889b6c7287430c487f32117eaee1a77aeddc7441fe5

Observation c127739a-163d-4369-a4e4-212d23a8adea · outbound

This paper cites an unresolved cited work.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Unresolved cited work

Reference 6

Resolution
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no resolver link, observed 2026-06-27T21:59:29.534156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:ffc2130657022d0ac1fcaec13dd58e7d9437cd6344dc56b90f883aefbf615525

Observation c70d461b-0a6f-4cc9-890b-02f48751ee71 · outbound

This paper cites an unresolved cited work.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-27T21:59:29.534156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:5c3ff7d8b6ecde327dc920c77bbe9ba648cdd01cfb3f1b823a66eb152497903b

Observation ba9c62d6-3cdb-48af-883c-edea5a885153 · outbound

This paper cites Dvořák and B.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Dvořák and B

Reference 8

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:b4458a9aadbb975bf2d995835b86dff5d64e5ca943fbed20fa05b3b09221ca26

Observation 40327088-7b71-47b8-bb22-8a9b1712ca28 · outbound

This paper cites Erdős and T.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Erdős and T

Reference 9

Resolution
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no resolver link, observed 2026-06-27T21:59:29.534156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:8611b04bee9c10ef992dbd157a841ac9dbd42811d6d7718ea2fb60f7d818609d

Observation 1ce94e73-38de-45c6-9a12-7ae19079b525 · outbound

This paper cites Füredi and M.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Füredi and M

Reference 10

Resolution
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no resolver link, observed 2026-06-27T21:59:29.534156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:6feee82fb1ddba7226dab14249be18874a5d694a00c826001e1e2b6bd60f85fa

Observation 38dfb23b-567b-4583-9041-eef3fd9372cb · outbound

This paper cites Li and B.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Li and B

Reference 11

Resolution
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no resolver link, observed 2026-06-27T21:59:29.534156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:8cff9c726798e3ca6e33ef710b0475bbd37eeb3bbd62997d07f0fb64a5b1dd5c

Observation 60668811-1269-4b95-99ed-9c27933d7d8b · outbound

This paper cites Li and B.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Li and B

Reference 12

Resolution
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no resolver link, observed 2026-06-27T21:59:29.534156Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:bb5e7b8ffedd15fa07f18b92c65a4fb16850b2becba1d0d1c0c9586bb190a9c7

Observation d11cfa16-18cf-4495-ac55-c8266759b7b2 · outbound

This paper cites Li and Y.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Li and Y

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-27T21:59:29.534156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:eeed993ef6cc1f13cf9618a3f47ee4c8e2b17c3f672675edad24fa526ee588a8

Observation 338772b8-a10f-4560-9f53-6fb2d17e358f · outbound

This paper cites an unresolved cited work.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-27T21:59:29.534156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:5c1c8ee2163739a08ad311b79b1c71f9ee5fc06752859b46291b70788dfd33cf

Observation b42f51d9-6b8f-4de8-b030-c5248cd8ad53 · outbound

This paper cites Unsolved problems in spectral graph theory.Operations Research Transactions, 27(4):33–60, 2023.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Unsolved problems in spectral graph theory.Operations Research Transactions, 27(4):33–60, 2023

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-07-02T17:37:14.392942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:504c8b45f78e242f2adcb795cd639769e57e99272a2a44a490130b55af0427a6

Observation 5e20a5dc-88e9-4e54-9f5b-733f64dd0ef9 · outbound

This paper cites an unresolved cited work.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Unresolved cited work

Reference 16

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:c57852933120436cefb311887ed9a247b170ada03465e2c527a249d1d85c41c0

Observation 54e2024f-01d3-41d7-8918-185803edc4cf · outbound

This paper cites Nikiforov.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Nikiforov

Reference 17

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:db2fefab21eca55de7e8e7b2e07ea0ffaa5e9aeedbeb0a90c76c99baef6eea94

Observation dcd81240-760b-40d9-a778-c47e528d26be · outbound

This paper cites Nikiforov.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Nikiforov

Reference 18

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no resolver link, observed 2026-06-27T21:59:29.534156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:609b85334c5f204a9e84698125a03b037caaac495f49d32fbdac157b3809d0c4

Observation 738207c1-fda1-495c-a864-1b7d78f28123 · outbound

This paper cites Nikiforov.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Nikiforov

Reference 19

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:63daf8c6b0c549cdeb230d843e0cacbe7a5156d83155d21e3059b0bcd1d514fc

Observation 601f9c1c-0f1e-4eae-a62c-95a568fe4649 · outbound

This paper cites Nikiforov.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Nikiforov

Reference 20

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:54e3005241c1c44d7ce3abe25f50740715d14f319a2a7b88eb4161a76688d870

Observation c5ebf90e-d333-4086-9563-7e6fa72fba36 · outbound

This paper cites Nikiforov and X.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Nikiforov and X

Reference 21

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:22fc8a8a0cf2f7b8f29cc6fedd9f9e95ae7a5ac048a7579d34568dee166c51c2

Observation 50aa4859-5eb3-4b3c-addf-d36244672279 · outbound

This paper cites an unresolved cited work.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Unresolved cited work

Reference 22

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:5a7d9b602f39694cf1aecb1260b2b418a29cd5bf8e9c855a76dac813277db65a

Observation 6de68280-aad9-465c-9aea-d65f1bcf6885 · outbound

This paper cites an unresolved cited work.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Unresolved cited work

Reference 23

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:fbcf29a997c95fe22fd16e650479e4f1e8953b41151234ca57942faad2690c20

Observation 00544833-d0e1-46fb-a504-6e40e684e4aa · outbound

This paper cites an unresolved cited work.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Unresolved cited work

Reference 24

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:e4cd1905927b83d9431aeff1978e392c89336433651be42a52e47e7220f309e3

Observation 8f07deba-5165-431b-bfb6-3cd756e692c2 · outbound

This paper cites Tait and J.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Tait and J

Reference 25

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:3509560ab0db3a9a0f2ceaca3a95a7753ef7456fd209f091f2126ea278a0ea32

Observation 55419f83-32cf-4d08-ae99-fc7ddd37364f · outbound

This paper cites an unresolved cited work.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Unresolved cited work

Reference 26

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:c650843d979be7c6c04e68216fa26d4214060774d4bae4b8a79022212e4c55cc

Observation 1713ec2d-67ee-42aa-ba0c-a1d15b2c752a · outbound

This paper cites Verstraëte.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Verstraëte

Reference 27

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:79906a2a6613e5162f3e78a317ef9e87bc0f6dac8aaedb91890e11c971b5c76b

Observation e93a07c3-0b1c-4383-81bf-8abafa64c64a · outbound

This paper cites Verstraëte.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Verstraëte

Reference 28

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no resolver link, observed 2026-06-27T21:59:29.534156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:607d5636a7c635e970955d4af277df74f658c726c1dc289657a247573341cc63

Observation 98fded88-77e4-437c-ab22-d94696a15a07 · outbound

This paper cites an unresolved cited work.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Unresolved cited work

Reference 29

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unresolved
no resolver link, observed 2026-06-27T21:59:29.534156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:8b921b07c0922783c6f4dae02e20c4394e5c51f5e746a89402833c40313d8de8

Observation ea7caacc-9af1-43bb-ae8e-f5cdfb8ca4d9 · outbound

This paper cites an unresolved cited work.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Unresolved cited work

Reference 30

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unresolved
no resolver link, observed 2026-06-27T21:59:29.534156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:a0e5f82e54a1bb4217ee40cd7a005032bb3eb7fb35e1bb8bbb4739d1e9946316

Observation 31151613-71d2-4c00-b614-4fc85e6deebc · outbound

This paper cites an unresolved cited work.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Unresolved cited work

Reference 31

Resolution
unresolved
no resolver link, observed 2026-06-27T21:59:29.534156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:1919d3a5d6011186b2c2b2684a8b646dcad04ab1ad2901aab07c228c0b559051

Observation c5e5110d-b9d4-424a-b785-d0cac2190168 · outbound

This paper cites an unresolved cited work.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Unresolved cited work

Reference 32

Resolution
unresolved
no resolver link, observed 2026-06-27T21:59:29.534156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:1e18c8b3af4e17d810eaa4d6630b44fa014eec948710e3b49189f49d56bb5da3

Observation c636e78d-8d1d-407d-99c3-780dea5309b1 · outbound

This paper cites Spectralextremaofgraphs: Forbiddenhexagon.Discrete Math., 343(10):112028, 2020.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Spectralextremaofgraphs: Forbiddenhexagon.Discrete Math., 343(10):112028, 2020

Reference 33

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:621b1bb1ddd993381ba08716dd8d2e64b464a26298d0abede6d4d0fd20855f25

Observation 9466d972-40ea-42ca-8282-dd0822a182fd · outbound

This paper cites an unresolved cited work.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Unresolved cited work

Reference 34

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:748cd55f90f8a702208d4508976f81cd0e465fd86726230ae98f67ab9f07b5ef

Observation af96b1bd-9b48-4329-bbbb-fd0539916f8b · outbound

This paper cites an unresolved cited work.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Unresolved cited work

Reference 35

Resolution
unresolved
no resolver link, observed 2026-06-27T21:59:29.534156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:d1377789f2f57f6b63cbba4bac60708053a3568a5c2cce5963598aa2ef176311

Observation 9e45f463-4f7c-4289-b1a7-8809e1d2da2b · outbound

This paper cites Spectral skeletons and applications.

Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture Spectral skeletons and applications

Reference 36

Resolution
verified exact
arxiv_id, observed 2026-07-02T17:37:14.392204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-06-27T21:59:29.534156Z digest=sha256:f7fafe34046997c2f82cfe51b5609d05d38408a8d735efe1d29d7daeebb02bf5

Pith citing papers

No inbound Pith citation observations are available.