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Paper Citation Record · LEDGER

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

As of 14 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 2026-08-14T06:32:32.682623+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=sha256:3d7a626ab9837adbcccb7a89ef9b2feeb705f173c86714203e2f593af7814b08

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=sha256:1e35becb7321c17b5eeb2eeafde8c76ba392ea2a3b994ddb6cfaf2184586fd31

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:b1885a372159aca664f9b284b3cd82c3c8c68bf0ece81e6d8f316ffac51db233

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:a3fe964d1091f4d04f34adedb222fb9c71e3bc9878687d1aa703b9006b6c6645

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:cf4744818a7dd29594b6f7a6109577b36c67abdf9bd5748052f5da9aa07654c3

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=sha256:74e485914b438be2f67358bff5447e9292a8e0655ddbe96c8564e203609a0c27

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:b4a197e7cf87e31e93c660d70585180d1a2c4616ba628c7e89f6e86eebb56369

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=sha256:131e4be1fce44b99d2c187994df051387928cb61e0fd97717d208a9a11b2b7ab

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:e6116ce0619249351609ab435d53123734ad4bfd3f7d48236f94377b941558cb

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-25T22:45:40.783384Z digest=sha256:31912d95a898fc990f8335a9d7a9a976907e1e459f06ab6981a9ddde2048a640

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:d5064b3d67aecb4e8c0c238dacb713e704288f933c5dfe2f7c6daa6769d340a9