Paper Citation Record · LEDGER

A complete $t$-intersection theorem for families of spanning trees

As of 10 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2507.17913.

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

pith.paper-citation-record.v1
2507.17913 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:58:26.930465Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-26T09:49:14.434995Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T09:39:45.968153Z

Reference resolution

21 of 21 outbound references displayed

verified exact1
verified fuzzy9
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ccba6bff-e32f-4c07-b583-710a8ec4686d · outbound

This paper cites Ahlswede and L.H.

A complete $t$-intersection theorem for families of spanning trees Ahlswede and L.H

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T14:58:24.776895Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 92728e77-099d-4e20-a34f-c646d02ddd80 · outbound

This paper cites Improved bounds for the sunflower lemma.

A complete $t$-intersection theorem for families of spanning trees Improved bounds for the sunflower lemma

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T14:58:24.863387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 93b74292-2e03-4f77-b425-5d9e50ad2e11 · outbound

This paper cites Ellis, E.

A complete $t$-intersection theorem for families of spanning trees Ellis, E

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:58:29.395974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ded607ee-300f-4393-b50d-6c199825f25e · outbound

This paper cites Erd˝ os, C.

A complete $t$-intersection theorem for families of spanning trees Erd˝ os, C

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:58:29.258976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1a73a8a2-dedc-43b5-8f10-fcd4589dc720 · outbound

This paper cites Filmus,The weighted complete intersection theorem, Journal of Combinatorial Theory, Series A 151 (2017), 84–101.

A complete $t$-intersection theorem for families of spanning trees Filmus,The weighted complete intersection theorem, Journal of Combinatorial Theory, Series A 151 (2017), 84–101

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:58:29.115337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9ea7759e-e298-4897-995b-a88ec9d34618 · outbound

This paper cites Frankl,The Erd˝ os-Ko-Rado theorem is true for n=ckt, Combinatorics (Proc.

A complete $t$-intersection theorem for families of spanning trees Frankl,The Erd˝ os-Ko-Rado theorem is true for n=ckt, Combinatorics (Proc

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:58:28.983530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 469c21d3-660c-4bd0-8a90-68b46df454a1 · outbound

This paper cites Intersecting Families of Spanning Trees.

A complete $t$-intersection theorem for families of spanning trees Intersecting Families of Spanning Trees

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T14:58:25.373098Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c350e0e4-4fc5-4767-a3b1-c4c8e8d3bdcf · outbound

This paper cites Frankl and Z.

A complete $t$-intersection theorem for families of spanning trees Frankl and Z

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:58:28.797721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 16eb34e1-0385-4088-8ce6-4e21fdcede95 · outbound

This paper cites The Hajnal--Rothschild problem.

A complete $t$-intersection theorem for families of spanning trees The Hajnal--Rothschild problem

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T14:58:25.620376Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72121112-44a1-437e-8f0f-1db060f328d1 · outbound

This paper cites Frankl, R.M.

A complete $t$-intersection theorem for families of spanning trees Frankl, R.M

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:58:28.652045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5dc34200-3d56-4ae3-ad8a-1aea02c45a8d · outbound

This paper cites an unresolved cited work.

A complete $t$-intersection theorem for families of spanning trees Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:58:28.528113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 885650bf-cf40-45c4-9017-ed2ec5b9b2a1 · outbound

This paper cites Global hypercontractivity and its applications.

A complete $t$-intersection theorem for families of spanning trees Global hypercontractivity and its applications

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T14:58:26.019492Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 13adafc2-659e-4972-bfd8-d058bb6a5c1a · outbound

This paper cites Katona,Intersection theorems for systems of finite sets, Acta Math.

A complete $t$-intersection theorem for families of spanning trees Katona,Intersection theorems for systems of finite sets, Acta Math

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:58:28.372709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0de665e0-b08b-46bd-84ac-c159cf9dfd6a · outbound

This paper cites On $t$-Intersecting Families of Permutations.

A complete $t$-intersection theorem for families of spanning trees On $t$-Intersecting Families of Permutations

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-06T14:58:27.205013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c4c23ab1-3079-40a4-a2f7-454488905e51 · outbound

This paper cites Intersection theorems for uniform subfamilies of hereditary families.

A complete $t$-intersection theorem for families of spanning trees Intersection theorems for uniform subfamilies of hereditary families

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T14:58:26.372698Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e67790bb-d2a1-432c-9c0b-5bba7d5dc707 · outbound

This paper cites An almost complete $t$-intersection theorem for permutations.

A complete $t$-intersection theorem for families of spanning trees An almost complete $t$-intersection theorem for permutations

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T14:58:26.420540Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d866fc3-9d3e-489b-866e-866f9954c290 · outbound

This paper cites Linear dependencies, polynomial factors in the Duke--Erd\H os forbidden sunflower problem.

A complete $t$-intersection theorem for families of spanning trees Linear dependencies, polynomial factors in the Duke--Erd\H os forbidden sunflower problem

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T14:58:26.497331Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f211c172-6c8f-451e-b9b5-fd60aeb6209f · outbound

This paper cites Kupavskii and D.

A complete $t$-intersection theorem for families of spanning trees Kupavskii and D

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:58:28.119673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3d77f108-b69d-48b1-8ad3-f10ba16ffd89 · outbound

This paper cites an unresolved cited work.

A complete $t$-intersection theorem for families of spanning trees Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:58:27.944118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b7dd00fb-da4c-4353-874b-c98dc50e1f5c · outbound

This paper cites Stoeckl,Lecture notes on recent improvements for the sunflower lemma,https://mstoeckl.com/notes/ research/sunflower_notes.html.

A complete $t$-intersection theorem for families of spanning trees Stoeckl,Lecture notes on recent improvements for the sunflower lemma,https://mstoeckl.com/notes/ research/sunflower_notes.html

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:58:27.640823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 44e291ae-7c43-4b0f-acde-2d1f50ed2d10 · outbound

This paper cites an unresolved cited work.

A complete $t$-intersection theorem for families of spanning trees Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:58:27.496365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

Observation 02a48336-75bf-443b-9408-5f92ac8e25dc · inbound

Intersecting Families of Spanning Trees of $K_{n,n}$ cites this paper.

Intersecting Families of Spanning Trees of $K_{n,n}$ A complete $t$-intersection theorem for families of spanning trees

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-07-04T09:39:45.969421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.