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Paper Citation Record · LEDGER

A note on the spectral radius and $[a,b]$-factor of graphs

As of 13 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2509.00769.

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

pith.paper-citation-record.v1
2509.00769 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T13:24:30.611529Z

measured 28 of 28 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 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

28 of 28 outbound references displayed

  • verified exact1
  • verified fuzzy12
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1dca98aa-4186-4ae4-829f-b7014cc85fbd · outbound

This paper cites Brouwer, W.

A note on the spectral radius and $[a,b]$-factor of graphs Brouwer, W

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:24:31.466927Z

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=2026-08-05T13:24:27.803492Z digest=sha256:6315dbc5ae1b7ab8097e5d046fe912c8a29ec0bc4f09308bb4c868b30e81536e

Observation 9d5f0707-43d4-49e0-bddc-9ec3772bf702 · outbound

This paper cites Cioab˘ a, D.

A note on the spectral radius and $[a,b]$-factor of graphs Cioab˘ a, D

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:24:31.456203Z

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=2026-08-05T13:24:27.878983Z digest=sha256:860a78ac97f573fd539f3b6b4826d8a78060e0464dd0016792c6069164f192cf

Observation 186caa10-1ec5-4fae-b78a-8b42ba25f3a3 · outbound

This paper cites Cioab˘ a, Perfect matchings, eigenvalues and expansion,C.

A note on the spectral radius and $[a,b]$-factor of graphs Cioab˘ a, Perfect matchings, eigenvalues and expansion,C

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:24:31.446252Z

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=2026-08-05T13:24:28.053185Z digest=sha256:76345e2477bf3012e08e3b225febbb572d249e56f53e244ff1b5cea30f6d1f44

Observation 4c17bdb9-7e16-465b-a096-c5e3dd6a090e · outbound

This paper cites Cioab˘ a, D.

A note on the spectral radius and $[a,b]$-factor of graphs Cioab˘ a, D

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:24:31.435893Z

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=2026-08-05T13:24:28.186547Z digest=sha256:4ac146e12e846ee74b309489667ee9bcce618c1ee873d2ea8f39e4ce84aef222

Observation d3c681bf-d86a-4cec-afa6-0a8bcafb4571 · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.425753Z

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=2026-08-05T13:24:28.338643Z digest=sha256:2038b19c5b203a021fab1d56fe81b5680f8ffbcb99f26ff24b2cb7b839b13d30

Observation 1e8fcb81-a9eb-4fad-9efa-0625d6bce121 · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.415663Z

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=2026-08-05T13:24:28.462712Z digest=sha256:f81980a90294e4dbf2959e42b3f1eee0f95164849f35bdb8296185394d4c8ddb

Observation d2f5b1a7-fb53-4ad6-9e89-ed25fa0bf75d · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.405430Z

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=2026-08-05T13:24:28.609506Z digest=sha256:c9d69c6f88961fadb240e9ae902f5a6487bf7b20465fc4fc1a3e8643179347c2

Observation 5be4f0b1-10ef-4fc1-bcd1-d5e315afbe67 · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.395469Z

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=2026-08-05T13:24:28.712475Z digest=sha256:9a92ed16c45f6c30261cd1f6eb010d0a5f512308a1e62cbe61030c058f7fb77d

Observation 2f1029cc-fb4f-4eca-b409-390c22697532 · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.385362Z

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=2026-08-05T13:24:28.806934Z digest=sha256:bc9ae243317fc466fc2c9390ebd9278e77bbd45f49e96af4307b5928302fe60b

Observation 36f25f95-0dad-404b-9f55-4155e4372e6f · outbound

This paper cites Gu, Regular factors and eigenvalues of regular graphs, European J.

A note on the spectral radius and $[a,b]$-factor of graphs Gu, Regular factors and eigenvalues of regular graphs, European J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:24:31.374895Z

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=2026-08-05T13:24:28.906828Z digest=sha256:0db5a31675f2e3d1689f8e97e6f7bece5130849d3094bbe0e3b8c15a8e0d34c6

Observation d0557d44-b8a0-429f-bf52-132e919d24b2 · outbound

This paper cites Heinrich, P.

A note on the spectral radius and $[a,b]$-factor of graphs Heinrich, P

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:24:31.363658Z

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=2026-08-05T13:24:28.986423Z digest=sha256:157767231788cc8779cf23522e56ec333960dfd4270f2d65baa90b25045b844c

Observation 653da452-a59a-44c8-baf0-82e9e7053137 · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.352078Z

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=2026-08-05T13:24:29.025750Z digest=sha256:2fc9f695852a301adef3e5102d2b818780d18e24b9634f0935cb3cd0582ce6de

Observation 3153af80-2341-4594-b816-56d94864c249 · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.341719Z

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=2026-08-05T13:24:29.177580Z digest=sha256:74ee0bb26ea03c3f9318f3acd3d56199a20337da86e989657e8e8f1b5d335e95

Observation 4cf76648-23b2-4468-a7dc-81b21bf22148 · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.330379Z

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=2026-08-05T13:24:29.251102Z digest=sha256:b979fe00fb8e3db89035913bfd5a484073d9bfc518b2b40d21dca575cea95e86

Observation 3c46e6e4-1c0c-4357-bfc7-e5d5580687da · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.318513Z

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=2026-08-05T13:24:29.404572Z digest=sha256:8d352e84f3e525fdc5c76311c8d3fea8be6d81e88a0ddfb518370f4575bfa548

Observation 043fab97-c881-4a1a-a260-b3b15301383c · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.306681Z

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=2026-08-05T13:24:29.515570Z digest=sha256:4e0b707151425fb12e1be64f97b198d433d2c00c5b4bf33340a54bf394526ac0

Observation 1315bda1-0ead-4304-8f26-187761301a33 · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.296113Z

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=2026-08-05T13:24:29.595899Z digest=sha256:acce849790e4f8e9002236472bb86d71ada60395a4de34abf5eae66db2feb0b0

Observation 569932de-4b25-4c08-a695-3cfb6469cc2c · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.285275Z

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=2026-08-05T13:24:29.662070Z digest=sha256:d96ee3dce4a5b39c0eb65e86599c1e30b66767eb657a23c1687e946ec807e0e7

Observation d281c07d-c32f-453f-bef0-7d0ce90d1fc5 · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.274358Z

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=2026-08-05T13:24:29.738375Z digest=sha256:ec2c2d31dcc80dcb32629946e75b6a77742aa587cbbd6edebbcba85d38d4c052

Observation a763278e-1c2e-4378-9c15-547a1950e68e · outbound

This paper cites Lu, Regular graphs, eigenvalues and regular factors, J.

A note on the spectral radius and $[a,b]$-factor of graphs Lu, Regular graphs, eigenvalues and regular factors, J

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:24:31.263312Z

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=2026-08-05T13:24:29.883592Z digest=sha256:36e3f1760d8a5fb25c743020c858f7d4f4a6fff9d17727fb667735b545951192

Observation a81c865b-6caf-44fa-a8ac-4d9c2a6b87a0 · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-05T13:24:30.003127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T13:24:30.003127Z digest=sha256:80b6500a3ef3cea6f239b98ea3ad31996421f0436fc095a84a36123f6e70c02f

Observation 9fce7171-175e-4185-8251-28a89558489c · outbound

This paper cites Nikiforov, Some inequalities for the largest eigenvalue of a graph, Combin.

A note on the spectral radius and $[a,b]$-factor of graphs Nikiforov, Some inequalities for the largest eigenvalue of a graph, Combin

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:24:31.243677Z

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=2026-08-05T13:24:30.084948Z digest=sha256:c8d826f91aeef8442c04236dad734a2346e6b232a7648b13968c1f04641dad0d

Observation 4406c56b-424f-4bcb-9520-ff6cc363f5e8 · outbound

This paper cites O, Spectral radius and matchings in graphs, Linear Algebra Appl.614 (2021) 316–324.

A note on the spectral radius and $[a,b]$-factor of graphs O, Spectral radius and matchings in graphs, Linear Algebra Appl.614 (2021) 316–324

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:24:31.230952Z

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=2026-08-05T13:24:30.169538Z digest=sha256:7476eef1a391c36b92620b653a72c7501a928150f6fc88820a19f40e3363da78

Observation d17892ce-b5e0-4a70-9c3f-b9448aa6aa78 · outbound

This paper cites O, Eigenvalues and [a, b]-factors in regular graphs, J.

A note on the spectral radius and $[a,b]$-factor of graphs O, Eigenvalues and [a, b]-factors in regular graphs, J

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:24:31.219969Z

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=2026-08-05T13:24:30.232509Z digest=sha256:310bfb4ab9a1a673aa9aeb343d0c106d9afe600ef1b974190286d91bf4fd09d4

Observation 1635b7f5-0961-42e4-ab32-127918e905bf · outbound

This paper cites Petersen, Die Theorie der regul¨ aren graphs, Acta Math.

A note on the spectral radius and $[a,b]$-factor of graphs Petersen, Die Theorie der regul¨ aren graphs, Acta Math

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:24:31.208078Z

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=2026-08-05T13:24:30.337637Z digest=sha256:eb0dfcf4da658de32026d0bb7d53aa614bcd495294407cf3b4a21e9906104218

Observation 3fe11d92-5297-4e15-99bf-c634e9a853a9 · outbound

This paper cites Spectral conditions for graphs to contain $k$-factors.

A note on the spectral radius and $[a,b]$-factor of graphs Spectral conditions for graphs to contain $k$-factors

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-05T13:24:30.780913Z

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=2026-08-05T13:24:30.420929Z digest=sha256:b72cfaa7722c94c0837d756707f036d4fdc593bc2bfbf5103a0f2fbb288b7c4c

Observation fcdc3347-84a6-4ec7-bf0e-737d5994508e · outbound

This paper cites Tutte, The factors of graphs, Canad.

A note on the spectral radius and $[a,b]$-factor of graphs Tutte, The factors of graphs, Canad

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:24:31.195864Z

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=2026-08-05T13:24:30.501312Z digest=sha256:6e36110c8fd666f9166f70c4f532ab2f99af2b19a005e24ba8039f78b458af48

Observation 3756c0df-ede1-4a66-b671-afc7e21782a2 · outbound

This paper cites an unresolved cited work.

A note on the spectral radius and $[a,b]$-factor of graphs Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:24:31.009904Z

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=2026-08-05T13:24:30.611529Z digest=sha256:5bbde4b2480aeac2b054a4be52f2fe55df5cd70ad8daa045b8441eb91f6c5265

Pith citing papers

No inbound Pith citation observations are available.