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Paper Citation Record · LEDGER

Recursive lower bounds for uniform set systems of bounded VC-dimension

As of 22 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 2 inbound Pith citation observations for arXiv:2606.22064.

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

pith.paper-citation-record.v1
2606.22064 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T11:58:22.629828Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-11T12:25:31.403521Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-04T18:40:02.301135Z

Reference resolution

9 of 9 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 265669c5-4ae6-4559-8d58-872b0dfc4b12 · outbound

This paper cites and Khachatrian, L.

Recursive lower bounds for uniform set systems of bounded VC-dimension and Khachatrian, L

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-26T11:58:22.629828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T11:58:22.629828Z digest=sha256:53edd79a709a12ae087ddf578561529d5498399ff4b585539052397328b6d4ac

Observation c79af178-203a-4766-a9c5-8179e37fa2fa · outbound

This paper cites and Xu, Z.

Recursive lower bounds for uniform set systems of bounded VC-dimension and Xu, Z

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-26T11:58:22.629828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T11:58:22.629828Z digest=sha256:73fd0aa870d9b80d43b515b930054cff7442cb94c881ec2d8d7f482bd36fc425

Observation e39305f9-0658-42c6-8f1e-37070dacde5b · outbound

This paper cites and Pach, J.

Recursive lower bounds for uniform set systems of bounded VC-dimension and Pach, J

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-26T11:58:22.629828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T11:58:22.629828Z digest=sha256:d368a0beceea2df2082c95bb1bc47676ea927c04282d8c6b851e84297897a01b

Observation b36c3be2-4d09-439f-a161-626774ed4ac8 · outbound

This paper cites and Xu, Z.

Recursive lower bounds for uniform set systems of bounded VC-dimension and Xu, Z

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-26T11:58:22.629828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T11:58:22.629828Z digest=sha256:370cb3f542a4fa45acef3e8a669991b7f02aede98c1377e7e970fec7ddc4f403

Observation 778acbe4-18bb-444b-a96e-405021bc6b35 · outbound

This paper cites and Zhao, Y.

Recursive lower bounds for uniform set systems of bounded VC-dimension and Zhao, Y

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-26T11:58:22.629828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T11:58:22.629828Z digest=sha256:d4f5e9bbee34d7e4dc49ad54b9adccfa0016c35ea87a945f8d59029992dc60d6

Observation 6953de3d-781e-4ed1-b1bc-a0f1432f1b75 · outbound

This paper cites , title =.

Recursive lower bounds for uniform set systems of bounded VC-dimension , title =

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-26T11:58:22.629828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T11:58:22.629828Z digest=sha256:0cad0ecf4bf029b80203eb1cd260d2a2d77862f1ee7e730ed6f35c2d7bb73beb

Observation ac6c0a0f-c92b-4ca4-8d8c-f157f3ff7f20 · outbound

This paper cites , title =.

Recursive lower bounds for uniform set systems of bounded VC-dimension , title =

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-26T11:58:22.629828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T11:58:22.629828Z digest=sha256:438475ab0493653be8485a098ea9362a359379f012951ed1deb473b93d34bf58

Observation 3afc4787-0cee-4ca9-8b42-a81adcd34c13 · outbound

This paper cites and Xu, Z.

Recursive lower bounds for uniform set systems of bounded VC-dimension and Xu, Z

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-26T11:58:22.629828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T11:58:22.629828Z digest=sha256:8eb634c117f61e22771b10689fb45a17cff1621e6d029f30570f07e5c01aedad

Observation 11003677-44fb-4953-98bb-92b92838a81d · outbound

This paper cites and Yu, X.

Recursive lower bounds for uniform set systems of bounded VC-dimension and Yu, X

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-26T11:58:22.629828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-26T11:58:22.629828Z digest=sha256:c78767f9f10842422870de11fdf8a69980ffc620989d13e8fe447a1b7c0114ae

Pith citing papers

Observation 6ab6067f-24ff-47ea-a0ff-d232e3ef54bd · inbound

A disproof of the uniform witness conjecture cites this paper.

A disproof of the uniform witness conjecture Recursive lower bounds for uniform set systems of bounded VC-dimension

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-07-04T18:40:02.302945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-06-25T22:45:40.783384Z digest=sha256:ae2be5adf6bd6e2a26ede871e48fc872a5fae927dc070a03fd778ef366087642

Observation 81149d9d-5e9a-4bb7-90e2-c956bab49ddf · inbound

Recursive Lifting Beyond the Ahlswede--Khachatrian Construction cites this paper.

Recursive Lifting Beyond the Ahlswede--Khachatrian Construction Recursive lower bounds for uniform set systems of bounded VC-dimension

Reference 13

Resolution
unresolved
no resolver link, observed 2026-07-11T12:25:31.403521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T12:25:31.403521Z digest=sha256:08e64fde37f03f84b1e9d551d5fe92b054cf1f6334b8e1732982ea6bcd611d8f