Paper Citation Record · LEDGER

On a conjecture regarding the product version of the Hilton-Milner theorem

As of 15 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2607.06443.

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

pith.paper-citation-record.v1
2607.06443 v2

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T16:01:21.658672Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

13 of 13 outbound references displayed

verified exact0
verified fuzzy0
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 629d74fe-c3b0-4227-9ff6-9b617b84a85b · outbound

This paper cites an unresolved cited work.

On a conjecture regarding the product version of the Hilton-Milner theorem Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-14T16:01:21.658672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d086f86-d3da-42d7-b91d-1f00a5dda2ee · outbound

This paper cites Erd˝ os, C.

On a conjecture regarding the product version of the Hilton-Milner theorem Erd˝ os, C

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-14T16:01:21.658672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b2cb970-0388-46ed-b73e-0dd6f4fb37ad · outbound

This paper cites Frankl, On the maximum of the sum of the sizes of non-trivial cross-intersecting families,Com- binatorica44(1) (2024) 15–35.

On a conjecture regarding the product version of the Hilton-Milner theorem Frankl, On the maximum of the sum of the sizes of non-trivial cross-intersecting families,Com- binatorica44(1) (2024) 15–35

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-14T16:01:21.658672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e030003-bcaf-4a3c-a9c4-b652f956932b · outbound

This paper cites Frankl, The maximum of the product of non-trivial cross-intersecting 3-graphs,Combinatorics and Number Theory15(1) (2025) 1–8.

On a conjecture regarding the product version of the Hilton-Milner theorem Frankl, The maximum of the product of non-trivial cross-intersecting 3-graphs,Combinatorics and Number Theory15(1) (2025) 1–8

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-14T16:01:21.658672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad31a165-05f3-4b0f-be35-70369e0a524c · outbound

This paper cites Frankl, A.

On a conjecture regarding the product version of the Hilton-Milner theorem Frankl, A

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-14T16:01:21.658672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ecb0a9ff-4159-4d4f-9e2b-d119b4011884 · outbound

This paper cites Frankl, N.

On a conjecture regarding the product version of the Hilton-Milner theorem Frankl, N

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-14T16:01:21.658672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cbecf5ec-66c1-4d88-a954-1ba67544e0ea · outbound

This paper cites Frankl, J.

On a conjecture regarding the product version of the Hilton-Milner theorem Frankl, J

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-14T16:01:21.658672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd3f7bb0-b920-4765-8e0e-6030ee60feae · outbound

This paper cites A product version of the Hilton-Milner Theorem II.

On a conjecture regarding the product version of the Hilton-Milner theorem A product version of the Hilton-Milner Theorem II

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-14T16:01:21.658672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d85ddfa9-a061-4bd5-be2b-a344deeddc12 · outbound

This paper cites an unresolved cited work.

On a conjecture regarding the product version of the Hilton-Milner theorem Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-14T16:01:21.658672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46f0c071-7d1d-4f3e-8935-a5ee78299a6e · outbound

This paper cites an unresolved cited work.

On a conjecture regarding the product version of the Hilton-Milner theorem Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-14T16:01:21.658672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e02ca8fd-b0b6-4824-9be2-bb8f048c4030 · outbound

This paper cites A sharp product bound for non-trivial cross-intersecting families.

On a conjecture regarding the product version of the Hilton-Milner theorem A sharp product bound for non-trivial cross-intersecting families

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-14T16:01:21.658672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9fec349b-4abf-4330-ab32-f68b17ff577b · outbound

This paper cites Matsumoto, N.

On a conjecture regarding the product version of the Hilton-Milner theorem Matsumoto, N

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-14T16:01:21.658672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e942e56c-dd18-46af-a699-a39f6f5921b7 · outbound

This paper cites Pyber, A new generalization of the Erd˝ os-Ko-Rado theorem,J.

On a conjecture regarding the product version of the Hilton-Milner theorem Pyber, A new generalization of the Erd˝ os-Ko-Rado theorem,J

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-14T16:01:21.658672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.