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Paper Citation Record · LEDGER

Combinatorial theorems relative to sparse sets

As of 12 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2608.01525.

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

pith.paper-citation-record.v1
2608.01525 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T00:11:37.119388Z

measured 15 of 15 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 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

15 of 15 outbound references displayed

  • verified exact1
  • verified fuzzy9
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c805e32e-a4f6-4778-a7f8-5862b4a46504 · outbound

This paper cites Partition universality for graphs of bounded degeneracy and degree.

Combinatorial theorems relative to sparse sets Partition universality for graphs of bounded degeneracy and degree

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-06T00:11:37.306907Z

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=2026-08-06T00:11:37.071368Z digest=sha256:7abbef51fab2fd1406474bc5df0afd9e0737f16f97126b3b9fa22aa3583d7aab

Observation b9d562fa-cb70-4f5a-a3a7-98d324aae509 · outbound

This paper cites R¨ odl and J.

Combinatorial theorems relative to sparse sets R¨ odl and J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:11:37.357892Z

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=2026-08-06T00:11:37.106627Z digest=sha256:320acb96ae8c1390bab663bcce9ef0193f3107f29c066aa4f3a97a7d41dd73bb

Observation 2c68dbbc-e81f-4021-9195-e23108be7d2c · outbound

This paper cites Tao and T.

Combinatorial theorems relative to sparse sets Tao and T

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:11:37.337503Z

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=2026-08-06T00:11:37.113176Z digest=sha256:978712d526f00a023175de75afda67cd70ea927ff258c3a511e9c8560512ec8c

Observation 729fb3fa-ab79-4c93-94c6-9d86910c2223 · outbound

This paper cites Tikhomirov,On bounded degree graphs with large size-Ramsey numbers, Combinatorica44(2024), 9–14.

Combinatorial theorems relative to sparse sets Tikhomirov,On bounded degree graphs with large size-Ramsey numbers, Combinatorica44(2024), 9–14

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:11:37.317572Z

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=2026-08-06T00:11:37.119388Z digest=sha256:46589a41ee85e500450f210e2f4e793cdec94ee391518f5474b06a1a3db997ef

Observation 5ff45861-d79d-4e38-812a-96e6e3d32f3f · outbound

This paper cites Size-Ramsey numbers of powers of hypergraph trees and long subdivisions.

Combinatorial theorems relative to sparse sets Size-Ramsey numbers of powers of hypergraph trees and long subdivisions

Reference 320

Resolution
unresolved
no resolver link, observed 2026-08-06T00:11:37.099519Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T00:11:37.099519Z digest=sha256:e3ca9e3f51168918e8c32429ac952dab24eef7e5ef34d052e3eca075f5cbd91a

Observation f76d8aa0-645b-407e-8a4f-0a97ed54ee46 · outbound

This paper cites Samotij,Stability results for random discrete structures, Random Struc- tures Algorithms44(2014), 269–289.

Combinatorial theorems relative to sparse sets Samotij,Stability results for random discrete structures, Random Struc- tures Algorithms44(2014), 269–289

Reference 1978

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:11:37.347377Z

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=2026-08-06T00:11:37.109970Z digest=sha256:4f98c371157bad366cd93882ef0913b3335f9ebcadbcf560839b235d7307288a

Observation 1bf24587-d927-4a48-b6a1-e606e70c17a6 · outbound

This paper cites an unresolved cited work.

Combinatorial theorems relative to sparse sets Unresolved cited work

Reference 1987

Resolution
unresolved
raw_fallback, observed 2026-08-06T00:11:37.327335Z

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=2026-08-06T00:11:37.116443Z digest=sha256:23d24aeeb9cfe32c4c76617e4467d3b6082c01649e9a327c6434c68df7ea4a5f

Observation a67479e7-1108-41e2-aeb7-148159fd711f · outbound

This paper cites R¨ odl and A.

Combinatorial theorems relative to sparse sets R¨ odl and A

Reference 1993

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:11:37.367656Z

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=2026-08-06T00:11:37.103382Z digest=sha256:5842d02817dababdc096520250b6031b45c99f7f0680f56d276fed573250d36e

Observation 30d054a7-4f62-4d7c-bc57-d364d91ef290 · outbound

This paper cites an unresolved cited work.

Combinatorial theorems relative to sparse sets Unresolved cited work

Reference 2005

Resolution
unresolved
raw_fallback, observed 2026-08-06T00:11:37.404486Z

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=2026-08-06T00:11:37.086739Z digest=sha256:e4e07882b94bbc2f9c4c0c3df76047835de8ede522d7a4182bd93c851887e998

Observation b0e04135-aa43-4c84-afc6-055c8be6b24b · outbound

This paper cites Kuperwasser, W.

Combinatorial theorems relative to sparse sets Kuperwasser, W

Reference 2006

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:11:37.376874Z

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=2026-08-06T00:11:37.096503Z digest=sha256:ce7129fb733e2ec3bc3191fee732330a8924caf1ab6cb76094ca6019fe2e6f1a

Observation 968c3493-90d8-434e-88ab-d28c5164fb4e · outbound

This paper cites Kohayakawa, V.

Combinatorial theorems relative to sparse sets Kohayakawa, V

Reference 2010

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:11:37.395401Z

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=2026-08-06T00:11:37.089969Z digest=sha256:fd8c01868e89bd17a104a3a2c0251671dce2f9cd977c231088507829a255ab7c

Observation d8077410-e86d-428e-8630-e9d09337fe85 · outbound

This paper cites K˝ ov´ ari, V.

Combinatorial theorems relative to sparse sets K˝ ov´ ari, V

Reference 2011

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:11:37.386436Z

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=2026-08-06T00:11:37.093470Z digest=sha256:d8db4e51a7b5a2a1975294aa54df01418543f3440b3624e028f0ba644fc90d64

Observation 42b9aeed-17c1-4ffa-90df-954cc626ecbf · outbound

This paper cites Gerke and A.

Combinatorial theorems relative to sparse sets Gerke and A

Reference 2013

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:11:37.413867Z

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=2026-08-06T00:11:37.083258Z digest=sha256:130461fc7a6da0103dc398a775e130ac22d1e2db0dd48cea5a6a9f95c2e6a48f

Observation 0172e767-c4c4-4546-a793-853a4b6d1581 · outbound

This paper cites Conlon,A sequence of triangle-free pseudorandom graphs, Combin.

Combinatorial theorems relative to sparse sets Conlon,A sequence of triangle-free pseudorandom graphs, Combin

Reference 2014

Resolution
unresolved
no resolver link, observed 2026-08-06T00:11:37.079839Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T00:11:37.079839Z digest=sha256:c750b8b454d407ab144d6959889855d1105eb1fb1e8bf11fd8eb091a90ee2833

Observation 4589adea-1c22-4909-8c56-e284021da0ca · outbound

This paper cites Bowtell, R.

Combinatorial theorems relative to sparse sets Bowtell, R

Reference 2017

Resolution
unresolved
no resolver link, observed 2026-08-06T00:11:37.076566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T00:11:37.076566Z digest=sha256:3dcc9aa439417440ef694fed911883f992a9125331fa8e28c8e43b9dbeb08d37

Pith citing papers

No inbound Pith citation observations are available.