Paper Citation Record · LEDGER

A product version of the Hilton-Milner Theorem II

As of 5 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 4 inbound Pith citation observations for arXiv:2605.09246.

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

pith.paper-citation-record.v1
2605.09246 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-12T03:47:22.411463Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-08T05:54:33.496782Z

Reference resolution

17 of 17 outbound references displayed

verified exact0
verified fuzzy16
unresolved0
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 11eddd9f-3ff2-44bf-ab73-6ba0d0ee17cd · outbound

This paper cites Erd˝ os, C.

A product version of the Hilton-Milner Theorem II Erd˝ os, C

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T18:06:45.091161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation dd904c05-e0b8-4a48-ad44-ca85431cb16a · outbound

This paper cites Frankl, The shifting technique in extremal set theory, Surveys in Combinatorics 123 (1987), 81–110.

A product version of the Hilton-Milner Theorem II Frankl, The shifting technique in extremal set theory, Surveys in Combinatorics 123 (1987), 81–110

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T18:06:45.040554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 00803362-fb16-4883-83ab-457ef579154c · outbound

This paper cites Frankl, A simple proof of the Hilton-Milner theorem, Moscow J.

A product version of the Hilton-Milner Theorem II Frankl, A simple proof of the Hilton-Milner theorem, Moscow J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T18:06:45.045442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation a8b5b614-b127-4b35-a72d-fa5d67c997d9 · outbound

This paper cites Frankl, The maximum of the product of non-trivial cross-intersecting 3-graphs, Combinatorics and Number Theory 15(1)(2026) 1–8.

A product version of the Hilton-Milner Theorem II Frankl, The maximum of the product of non-trivial cross-intersecting 3-graphs, Combinatorics and Number Theory 15(1)(2026) 1–8

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T18:06:45.060240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 769b3dba-a164-4d96-aac5-d54b03322bf8 · outbound

This paper cites Frankl, Z.

A product version of the Hilton-Milner Theorem II Frankl, Z

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T18:06:45.072206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 20db95bc-f47e-4efe-b007-e4ec8831df2d · outbound

This paper cites Frankl, A.

A product version of the Hilton-Milner Theorem II Frankl, A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T18:06:45.082154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation ed06a651-92e7-4629-baa7-177881065751 · outbound

This paper cites Frankl, N.

A product version of the Hilton-Milner Theorem II Frankl, N

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T18:06:45.075326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 4171f55b-13b4-4535-9934-d675f230b9cd · outbound

This paper cites Frankl, J.

A product version of the Hilton-Milner Theorem II Frankl, J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T18:06:45.064362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 28badc93-1b22-4fce-8a5a-421a13e35b8e · outbound

This paper cites Hilton, The Erd˝ os-Ko-Rado Theorem with valency conditions, unpublished manuscript.

A product version of the Hilton-Milner Theorem II Hilton, The Erd˝ os-Ko-Rado Theorem with valency conditions, unpublished manuscript

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T18:06:45.097927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 47b4e9f8-e229-40af-8b6e-5d4677fd6452 · outbound

This paper cites Hilton, E.C.

A product version of the Hilton-Milner Theorem II Hilton, E.C

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T18:06:45.067820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 5d284e73-17f9-4678-835b-5bab96308a33 · outbound

This paper cites Hurlbert, V.

A product version of the Hilton-Milner Theorem II Hurlbert, V

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T18:06:45.078752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 69310044-5250-46d6-a159-1d4f4458fdb8 · outbound

This paper cites Kupavskii, D.

A product version of the Hilton-Milner Theorem II Kupavskii, D

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T18:06:45.094607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 79403154-dba6-48e6-a4c0-189b84b02cfa · outbound

This paper cites Matsumoto, N.

A product version of the Hilton-Milner Theorem II Matsumoto, N

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T18:06:45.052508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 02f813f7-2e10-4411-a6d0-33c2b9df81dc · outbound

This paper cites M¨ ors, A generalization of a theorem of Kruskal, Graphs Combin.

A product version of the Hilton-Milner Theorem II M¨ ors, A generalization of a theorem of Kruskal, Graphs Combin

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T18:06:45.055986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 567f0473-0801-4ba5-9bdc-10962ec57394 · outbound

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

A product version of the Hilton-Milner Theorem II Pyber, A new generalization of the Erd˝ os-Ko-Rado theorem, J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T18:06:45.036970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 9c07f644-4ef0-4417-833f-813fd377e3f0 · outbound

This paper cites Fork= 8,9,10 and 2k+ 1≤n≤4k, one can check by direct computation that (2.8) holds.

A product version of the Hilton-Milner Theorem II Fork= 8,9,10 and 2k+ 1≤n≤4k, one can check by direct computation that (2.8) holds

Reference 16

Resolution: malformed identifier; raw_fallback, observed 2026-05-12T18:06:45.087018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 4fb8c320-5cc2-4ca2-9e60-c9c973429c11 · outbound

This paper cites Fork= 8,9,10 and 3k≤n≤4k, one can check by direct computation that (2.9) holds.

A product version of the Hilton-Milner Theorem II Fork= 8,9,10 and 3k≤n≤4k, one can check by direct computation that (2.9) holds

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-12T18:06:45.049128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Pith citing papers

Observation 18f41a57-55cf-4727-8117-0ef69480b199 · inbound

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

A sharp product bound for non-trivial cross-intersecting families A product version of the Hilton-Milner Theorem II

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-07-04T11:39:46.525995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation f210f5a5-e0a2-48b7-a778-51141755435b · inbound

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability cites this paper.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability A product version of the Hilton-Milner Theorem II

Reference 33

Resolution: unresolved; no resolver link, observed 2026-07-12T03:20:12.486236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7f1afbfa-d3d2-4a20-8e00-84a65c9e66e9 · inbound

On a conjecture regarding the product version of the Hilton-Milner theorem cites this paper.

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

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-07-08T05:54:33.498195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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

On a conjecture regarding the product version of the Hilton-Milner theorem cites this paper.

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.