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Paper Citation Record · LEDGER

Beating the Ahlswede--Khachatrian bound for the Erd\H{o}s--Frankl--Pach problem

As of 21 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 2 inbound Pith citation observations for arXiv:2606.23469.

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

pith.paper-citation-record.v1
2606.23469 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T07:51:17.106085Z

measured 13 of 13 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 2026-07-04T18:40:02.311091Z

Reference resolution

11 of 11 outbound references displayed

  • verified exact2
  • verified fuzzy0
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 48b45cca-c404-4c43-a85c-084387e92d5b · outbound

This paper cites Ahlswede and L.

Beating the Ahlswede--Khachatrian bound for the Erd\H{o}s--Frankl--Pach problem Ahlswede and L

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-26T07:51:17.106085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:51:17.106085Z digest=sha256:2786dc140625ee9e9d7054fece94655f0c98241bf0ed9b1b5519442320eb17aa

Observation bf8fcead-02f1-483a-8580-f934e8191110 · outbound

This paper cites an unresolved cited work.

Beating the Ahlswede--Khachatrian bound for the Erd\H{o}s--Frankl--Pach problem Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-26T07:51:17.106085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:51:17.106085Z digest=sha256:a578c765494c608aaf38b9e12659483d8d0b2303d4b3e9e50f640e2b5de25024

Observation 196afd39-a067-4141-9fee-18ba573865be · outbound

This paper cites an unresolved cited work.

Beating the Ahlswede--Khachatrian bound for the Erd\H{o}s--Frankl--Pach problem Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-26T07:51:17.106085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:51:17.106085Z digest=sha256:dbf30560a4eb0aee49a07d89c67976aeff31500c43db0c44d3b0546b98f582f5

Observation ebc5bbe9-369b-424b-8de8-a99987b8018d · outbound

This paper cites Frankl and J.

Beating the Ahlswede--Khachatrian bound for the Erd\H{o}s--Frankl--Pach problem Frankl and J

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-26T07:51:17.106085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:51:17.106085Z digest=sha256:2a118d8aa589e6af753a166a08c9a7933a96e5e57cddf883fd36b49605494cc9

Observation 5e661315-1ac4-4401-ade7-b440c9f390d2 · outbound

This paper cites an unresolved cited work.

Beating the Ahlswede--Khachatrian bound for the Erd\H{o}s--Frankl--Pach problem Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-26T07:51:17.106085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:51:17.106085Z digest=sha256:51acc0dd603da452e25ff028530e54ebe11ce9cb5c3b6995e30e86033c9c4ff5

Observation cb8a3241-6329-40e1-a78d-87066de44b31 · outbound

This paper cites Mubayi and Y.

Beating the Ahlswede--Khachatrian bound for the Erd\H{o}s--Frankl--Pach problem Mubayi and Y

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-26T07:51:17.106085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:51:17.106085Z digest=sha256:3b659e9de66bdd8050a4238a783920d90d004f03b1cebc7bb35eeda935f2a309

Observation 6966ed71-028f-467d-8e07-23e6f00ec362 · outbound

This paper cites an unresolved cited work.

Beating the Ahlswede--Khachatrian bound for the Erd\H{o}s--Frankl--Pach problem Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-26T07:51:17.106085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:51:17.106085Z digest=sha256:aee95743a361216e129a95205dddbbc856ce3ff8960da52b686e916ec3901eda

Observation 3e601750-2e18-48b5-8602-9db415c39cb0 · outbound

This paper cites an unresolved cited work.

Beating the Ahlswede--Khachatrian bound for the Erd\H{o}s--Frankl--Pach problem Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-26T07:51:17.106085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:51:17.106085Z digest=sha256:003d72b6e16357a53c512fc7479ace33ab090a2b24afb5f6104faf63614b047b

Observation 2d64df94-58f4-4ca9-a392-2abf7b4d970d · outbound

This paper cites an unresolved cited work.

Beating the Ahlswede--Khachatrian bound for the Erd\H{o}s--Frankl--Pach problem Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-26T07:51:17.106085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T07:51:17.106085Z digest=sha256:f2667ffe5765f902ce51c4ee50eb703ecfd399e7f8b639e106915c70272bc3f5

Observation edfbc743-7f28-4de9-a322-32c054ec0860 · outbound

This paper cites Largest $3$-uniform set systems with VC-dimension $2$.

Beating the Ahlswede--Khachatrian bound for the Erd\H{o}s--Frankl--Pach problem Largest $3$-uniform set systems with VC-dimension $2$

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-07-04T11:39:46.766181Z

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=2026-06-26T07:51:17.106085Z digest=sha256:0a7e8afb91fff4c2c9eca32dccc9dee25906f757ce2b4d9ec97ecf8114412478

Observation 14adc9cb-6384-4de9-9bd0-64d15bc10686 · outbound

This paper cites Maxmum Size of a Uniform Family with Bounded VC-dimension.

Beating the Ahlswede--Khachatrian bound for the Erd\H{o}s--Frankl--Pach problem Maxmum Size of a Uniform Family with Bounded VC-dimension

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-07-04T11:39:46.763542Z

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=2026-06-26T07:51:17.106085Z digest=sha256:bb2af4a958567f4f0929e3ba03af971c6680990f99adcd5980079a348b506e7a

Pith citing papers

Observation 4caa145c-3633-4946-ae2e-b0ee820c51de · inbound

A disproof of the uniform witness conjecture cites this paper.

A disproof of the uniform witness conjecture Beating the Ahlswede--Khachatrian bound for the Erd\H{o}s--Frankl--Pach problem

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-07-04T18:40:02.312449Z

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:adf0173cf0af9ae8b02203e92b35a5b04ee01e614620f635b1d7ebc758a400ed

Observation 93f07f86-5458-426f-9954-c1d6b87238f0 · inbound

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

Recursive Lifting Beyond the Ahlswede--Khachatrian Construction Beating the Ahlswede--Khachatrian bound for the Erd\H{o}s--Frankl--Pach problem

Reference 9

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:b3762d57f16189f3b068d283dec5f239750cb55aa38b0536ede590a8780d1b6b