Pith. sign in

Paper Citation Record · LEDGER

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

As of 14 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 2026-08-14T06:32:32.682623+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 2026-07-04T18:40:02.311091Z

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=sha256:3389888caf59089212003b4ca08364c45e6a8feb07c93ae28db56a684b2e6806

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:b72bb015c6223e06ff9946a0277fc415eaec731957e62689ab8c300f596eb058

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=sha256:879c212ad675c58167a2ab854bd36c970903c6f336c69b57afd05403b47af574

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:c4d55a10240ea8d51ba44c3bc6f8434c81a4466b5b70ef24a4a10d35d77131b4

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:a5effb8436990bbec8301b9af752f2d7d04db68398b0e2d9049b9b85459bd52e

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:f03f562c942a2bb36b55ab0c81f7ffed776e67cf5f19e453275cf30ab401a8a3

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:b530a060fd270a6d235200b5c6a5d0446dc183155f29d347b63f786c30c57440

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=sha256:93027847762fd807ecd355799832203ce8e668c68c1770a88fb311d772ff5201

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:c1d5c841855cb36bfa40db479aebc108c98388f2c23f48f995978119d09d8372

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

source=pdf_text observed=2026-06-26T07:51:17.106085Z digest=sha256:76e1de7b33e6047ca643b99747428745507ae67e49c01359dd63d7b5aa8a6214

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

source=pdf_text observed=2026-06-26T07:51:17.106085Z digest=sha256:6d867338b909f48631d73c5ffcadde38a24fe09e12cbefdfa0b4207b8ae2110c

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

source=pdf_text observed=2026-06-25T22:45:40.783384Z digest=sha256:e797285c6bd7b711bc6614a824d2c2ddb9118f08645221e8408e0188d44219bd

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:ea3bda28ed265fcbff197fadcc6474f1fedff91432561ccdb7527b95a9b9da98