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Paper Citation Record · LEDGER

Combinatorial theorems relative to sparse sets

As of 20 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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T00:11:37.071368Z digest=sha256:fe019a779202aab7d2667336a307a8604a108fad6a0ebc66db92d74bc5e8b7e4

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T00:11:37.106627Z digest=sha256:b3e07ea1d1716f07fdfbaafd5535f47d928673ec9bf8f91cd04ac97fafb2d67e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T00:11:37.113176Z digest=sha256:aa6241e6887972a44df3721c708050f7e52049ca64774e905983e865dea21d9f

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T00:11:37.119388Z digest=sha256:4ea114a45db96f0d8cb56e15f618b0d497e388fae7b212bf94bda1d604929e9a

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:fdbeb25f397c5b739a4957a9f3b3e4db27138ba79694f9eb2ed43673a7d61406

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T00:11:37.109970Z digest=sha256:df9abaa82702a8b79451350dc0a806b36a26f4058d18cebdb5e4591e5c6d58aa

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T00:11:37.116443Z digest=sha256:e90066185e2297779e652ea1259daf5859980f26889d721a486a8d719f6f4ea5

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T00:11:37.103382Z digest=sha256:6aac72d42f3b836079cea4310f54bf16f37b29ae8c81cc9615677bdb0dec1919

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T00:11:37.086739Z digest=sha256:756457131dc3346175fca1e9db6c7112e8788747a58011ec0d3845ea43c1b42f

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T00:11:37.096503Z digest=sha256:456b416317bf8b0fc53b23df6c9f3c85a3a8adf1b69b8f23d19e463e5ddfbd51

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T00:11:37.089969Z digest=sha256:cedd0fe195fe064c0a6d3b8de618d0decaf88f036cd263d3a9a7fa3540bbbcc5

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T00:11:37.093470Z digest=sha256:5e6079dbe1719f9b44b0abd61a429fcf2c38c4d743a20720fe3ee04547f09370

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T00:11:37.083258Z digest=sha256:63cdf3cf49bb4ac7919fe42c01c20b2b40c219ccb404636effae81c172364841

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=sha256:352f8b530457b5c584feb02cb2b8a319a8710b9083d59a66cf6e26a7f4ef2b56

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:a7462db257a9bd1ebad0d907369c04737685f5f64746f04b43fe05dcb7337484

Pith citing papers

No inbound Pith citation observations are available.