Paper Citation Record · LEDGER

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic

As of 22 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2607.16040.

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

pith.paper-citation-record.v1
2607.16040 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T21:48:44.891347Z

measured 35 of 35 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 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

35 of 35 outbound references displayed

verified exact1
verified fuzzy0
unresolved34
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3922daf1-cf49-4efe-94b6-0faac9d520ab · outbound

This paper cites Ahlswede, L.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Ahlswede, L

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:41.866882Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4370ca96-2f8a-4f0b-b57e-40fd6892805e · outbound

This paper cites Typical intersecting families are trivial.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Typical intersecting families are trivial

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:42.009507Z

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Observation e424c27e-436d-4e81-bfec-1986e0b19460 · outbound

This paper cites Balogh, S.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Balogh, S

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:42.100556Z

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Observation 2ded0d9c-b202-4bd5-b44d-97655c90d495 · outbound

This paper cites Balogh, R.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Balogh, R

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:42.182401Z

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Observation 47f3c10b-f244-454d-81d2-6edc3069cbaf · outbound

This paper cites an unresolved cited work.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:42.301461Z

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Observation f28688ca-dc41-4aeb-ba8c-9adc0a40b206 · outbound

This paper cites Borg, A Hilton–Milner-type theorem and an intersection conjecture for signed sets, Discrete Math.313(2013), 1805–1815.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Borg, A Hilton–Milner-type theorem and an intersection conjecture for signed sets, Discrete Math.313(2013), 1805–1815

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:42.431131Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc705117-d42d-4f7a-9bc6-6b4a60ad76bc · outbound

This paper cites Brace, D.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Brace, D

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:42.571180Z

Source-reported events for the cited work

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Observation 5755bdab-3e70-424b-aba6-643a9b277aba · outbound

This paper cites an unresolved cited work.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:42.683951Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f57dce73-f8df-4741-9841-5bacc5068696 · outbound

This paper cites Erd˝ os, C.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Erd˝ os, C

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:42.802524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c77c98e2-86e5-43bd-817d-27ac49432e0c · outbound

This paper cites an unresolved cited work.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:42.844947Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e0f3dccb-002e-49c0-addf-1dd834879ac5 · outbound

This paper cites an unresolved cited work.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:42.902917Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09220010-6e18-4522-a0ef-e241733e6af9 · outbound

This paper cites an unresolved cited work.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:42.974187Z

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Unavailable: canonical work link unavailable.

Observation 4a8bd80e-882d-410c-b339-ac8c07c25d64 · outbound

This paper cites an unresolved cited work.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:43.075448Z

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Unavailable: canonical work link unavailable.

Observation 43e9be7b-d104-4596-86e6-45ba332f2dd3 · outbound

This paper cites Filmus, The weighted complete intersection theorem,J.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Filmus, The weighted complete intersection theorem,J

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:43.183677Z

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Observation 905d3b5f-6020-4b7c-a294-86f2d307d1ac · outbound

This paper cites Flower, R.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Flower, R

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:43.254947Z

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Observation 317f55ff-da94-4769-a8fd-fc8196890d73 · outbound

This paper cites Frankl, A.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Frankl, A

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:43.324597Z

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Observation 762bfe47-7097-4ff3-a9c4-b1c92019eaea · outbound

This paper cites Frankl, N.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Frankl, N

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:43.369450Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 52caa868-5cde-40f6-9c2a-52469ddd2076 · outbound

This paper cites Frankl, N.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Frankl, N

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:43.437067Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7da088e9-226a-4255-b551-88f913742bb5 · outbound

This paper cites Matching and intersection problems for non-trivial $r$-partite $r$-uniform hypergraphs.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Matching and intersection problems for non-trivial $r$-partite $r$-uniform hypergraphs

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:43.561559Z

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Unavailable: canonical work link unavailable.

Observation 9f3af9e9-8ae6-4184-aabd-9a6f9a2e0524 · outbound

This paper cites Friedgut, On the measure of intersecting families, uniqueness and stability,Combina- torica28(2008), 503–528.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Friedgut, On the measure of intersecting families, uniqueness and stability,Combina- torica28(2008), 503–528

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:43.633355Z

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Unavailable: canonical work link unavailable.

Observation c27ca4ca-2a92-42e1-b8b8-0bd77e1e0eec · outbound

This paper cites The profile polytope of non-trivial intersecting families.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic The profile polytope of non-trivial intersecting families

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:43.689558Z

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Unavailable: canonical work link unavailable.

Observation 1690b40c-6284-4986-85f0-d1f550dad9d6 · outbound

This paper cites $r$-cross $t$-intersecting families via necessary intersection points.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic $r$-cross $t$-intersecting families via necessary intersection points

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:43.728893Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 68361a7e-b96e-4b6a-b259-ee2325374b11 · outbound

This paper cites an unresolved cited work.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:43.862412Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d235278a-709a-4d93-8d36-25ed80148f59 · outbound

This paper cites Non-trivial Intersection Problems for Multi-partite Hypergraphs.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Non-trivial Intersection Problems for Multi-partite Hypergraphs

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:43.974128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83929920-f515-46b2-88fa-993499256b11 · outbound

This paper cites an unresolved cited work.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:44.030387Z

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Unavailable: canonical work link unavailable.

Observation 0e87f65d-450b-4c17-b11d-7546b0831525 · outbound

This paper cites Kleitman, On Dedekind’s problem: the number of monotone Boolean functions,Proc.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Kleitman, On Dedekind’s problem: the number of monotone Boolean functions,Proc

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:44.175610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8ea4f47a-2a4b-48c8-b81d-c186dcdb6953 · outbound

This paper cites an unresolved cited work.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:44.285834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c516dd5c-82d2-43a4-b753-120d0f9078cd · outbound

This paper cites an unresolved cited work.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:44.378467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c6e29b8d-e9b6-49e8-9413-f16e7a8f5290 · outbound

This paper cites O’Neill, J.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic O’Neill, J

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:44.428476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c466adf1-6eaa-46e2-9d5f-62fd863407c4 · outbound

This paper cites Counting self-dual monotone Boolean functions.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Counting self-dual monotone Boolean functions

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:44.476526Z

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Unavailable: canonical work link unavailable.

Observation 4ee01d4c-5bca-411e-a086-90be9dd81b04 · outbound

This paper cites Peleg, A.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Peleg, A

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:44.536041Z

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Unavailable: canonical work link unavailable.

Observation 687c2e90-5ba2-4804-b066-a334c685a6ac · outbound

This paper cites Tokushige, Brace–Daykin type inequalities for intersecting families,European J.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Tokushige, Brace–Daykin type inequalities for intersecting families,European J

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:44.619610Z

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Observation b0dfc716-8aae-4870-9814-92f470c7bc7d · outbound

This paper cites Tokushige, The maximum measure of non-trivial 3-wise intersecting families,Math.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Tokushige, The maximum measure of non-trivial 3-wise intersecting families,Math

Reference 33

Resolution: verified exact; doi, observed 2026-08-01T21:53:42.175617Z

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.

Observation df11fda9-ae6e-4878-aed3-4288a9e13de6 · outbound

This paper cites Random partition for Tokushige's $r$-wise intersecting conjecture.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic Random partition for Tokushige's $r$-wise intersecting conjecture

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:44.798160Z

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Unavailable: canonical work link unavailable.

Observation 8693331a-923b-4039-b687-ef9a83b54b68 · outbound

This paper cites The Suda-Tanaka-Tokushige conjecture for $\mathbf{p}$-biased intersecting families.

A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic The Suda-Tanaka-Tokushige conjecture for $\mathbf{p}$-biased intersecting families

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-01T21:48:44.891347Z

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Pith citing papers

No inbound Pith citation observations are available.