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Paper Citation Record · LEDGER

A Spectral Hilton--Milner--Frankl Theorem for $t$-Intersecting Families

As of 14 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2608.06810.

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

pith.paper-citation-record.v1
2608.06810 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T04:27:57.897955Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

22 of 22 outbound references displayed

  • verified exact2
  • verified fuzzy15
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4b8d8a37-7ed8-4488-9712-a89183378050 · outbound

This paper cites Ahlswede and L.

A Spectral Hilton--Milner--Frankl Theorem for $t$-Intersecting Families Ahlswede and L

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:27:58.194498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T04:27:57.809978Z digest=sha256:09d641c25ead3484cd134cd5d10c598885bef8aae72d881e1160b293cbb5b235

Observation 0ae16c5d-d91a-47d5-be7c-7ea776fc22a9 · outbound

This paper cites Ahlswede and L.

A Spectral Hilton--Milner--Frankl Theorem for $t$-Intersecting Families Ahlswede and L

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:27:58.181658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T04:27:57.815132Z digest=sha256:819ea0207d94ed300059ca797d227946aa53425d9ecdc7bd057ce59a21a16b82

Observation c85b5944-1b9a-4bce-aabd-1070bdd6042b · outbound

This paper cites Borg, Intersecting and cross-intersecting families of labeled sets,Electron.

A Spectral Hilton--Milner--Frankl Theorem for $t$-Intersecting Families Borg, Intersecting and cross-intersecting families of labeled sets,Electron

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:27:58.169581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T04:27:57.819430Z digest=sha256:ce659388fa7ae58c3c883d2fa218b96541ffdb310e2e7f29a80c1024ae171ab2

Observation c7dc2682-140b-4112-bd2c-53192583b10e · outbound

This paper cites Cooper and A.

A Spectral Hilton--Milner--Frankl Theorem for $t$-Intersecting Families Cooper and A

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-11T04:27:57.823922Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:27:57.823922Z digest=sha256:02b71f735de5545d0150071d11e5f872c5eba251e1baff32fec49cf2b81c9b2f

Observation 36800b99-8ef6-4a0a-9489-41eb3b4a24a9 · outbound

This paper cites Erd˝ os, C.

A Spectral Hilton--Milner--Frankl Theorem for $t$-Intersecting Families Erd˝ os, C

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-11T04:27:57.828242Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:27:57.828242Z digest=sha256:bd030d2a0ec8c4e9d323488174e7a5299e33c28dcb7be38af6d08e5a546c9ca8

Observation 73905d84-970e-489e-ae56-00a8edfbc5a3 · outbound

This paper cites Spectral Radius Conditions for 3-Uniform Intersecting Families.

A Spectral Hilton--Milner--Frankl Theorem for $t$-Intersecting Families Spectral Radius Conditions for 3-Uniform Intersecting Families

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-11T04:27:57.967562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T04:27:57.832558Z digest=sha256:8deec68520e4957bbffb9031f4faab84d258c3e9184c5479ec9860433d7bc6d5

Observation d1077be5-0c06-4796-935d-15a734ec4195 · outbound

This paper cites Frankl, On intersecting families of finite sets,J.

A Spectral Hilton--Milner--Frankl Theorem for $t$-Intersecting Families Frankl, On intersecting families of finite sets,J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:27:58.142237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T04:27:57.837234Z digest=sha256:7c7b5dc2ea3516538ec63b1fa91dfb01450c185a345d009251d9f90a4dda9684

Observation 472ff7aa-bc76-46f3-a86f-8845104ac153 · outbound

This paper cites Frankl, On cross-intersecting families,Discrete Math.108(1992), 291–295.

A Spectral Hilton--Milner--Frankl Theorem for $t$-Intersecting Families Frankl, On cross-intersecting families,Discrete Math.108(1992), 291–295

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:27:58.130050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T04:27:57.841391Z digest=sha256:a157df3bc4cbca4b532af05b92d754c03a6e5a2a4c4b5bf2455fe4a81ee4b243

Observation 3538721d-002f-46f4-8615-4f2fb64d981a · outbound

This paper cites Frankl and N.

A Spectral Hilton--Milner--Frankl Theorem for $t$-Intersecting Families Frankl and N

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:27:58.118128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T04:27:57.845450Z digest=sha256:18e14ba27d2351684b629c4d5265a9ec49fcb78970f2453591a12faf7de64aec

Observation 9cff55ea-bf47-4205-beb7-3cef11aba6b3 · outbound

This paper cites Frankl and N.

A Spectral Hilton--Milner--Frankl Theorem for $t$-Intersecting Families Frankl and N

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:27:58.105927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T04:27:57.849313Z digest=sha256:4bb5eda43b5b547c806a2ec9ac89df2f71c3022e12c41bd3a6608eafffc6483e

Observation 6db55010-a948-43db-a140-4225e94e3c81 · outbound

This paper cites Frankl and J.

A Spectral Hilton--Milner--Frankl Theorem for $t$-Intersecting Families Frankl and J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:27:58.094053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T04:27:57.853270Z digest=sha256:5efe49473a6369167bcd1a088f8148aeb207094166eadb1609a1b6850465a727

Observation a4e859e3-5ab7-435b-a078-6eeb89195353 · outbound

This paper cites Friedland, S.

A Spectral Hilton--Milner--Frankl Theorem for $t$-Intersecting Families Friedland, S

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:27:58.081783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T04:27:57.857701Z digest=sha256:db7298c1780534e07d282a1fd45ca715e013ef4487e8327ca290e5601c66de10

Observation 89d8e9d3-65c1-4141-989e-2fa71d2ca997 · outbound

This paper cites an unresolved cited work.

A Spectral Hilton--Milner--Frankl Theorem for $t$-Intersecting Families Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-11T04:27:58.069677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T04:27:57.861850Z digest=sha256:6f1139d1f1846523d8789700a66da5b762935e7de44d600082129308f2de647a

Observation 83acd218-0220-4660-ad75-d50fe3352356 · outbound

This paper cites Rajesh Kannan, N.

A Spectral Hilton--Milner--Frankl Theorem for $t$-Intersecting Families Rajesh Kannan, N

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:27:58.057175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T04:27:57.865919Z digest=sha256:98e0d8140f430bf7fb27b72a52337fc4b9099fffc834ce611d89502faffc284d

Observation 4c48d6df-9629-4b8c-819c-e0c31f164744 · outbound

This paper cites A Spectral Confirmation of the Erd\H{o}s Matching Conjecture.

A Spectral Hilton--Milner--Frankl Theorem for $t$-Intersecting Families A Spectral Confirmation of the Erd\H{o}s Matching Conjecture

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-11T04:27:57.948677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T04:27:57.869861Z digest=sha256:5d7ec85a413413769b65c73e23922f6e504d5fa788f0063b82179de68c06db0a

Observation 3825c054-2d47-4755-990e-2ca0c690b293 · outbound

This paper cites Keevash, J.

A Spectral Hilton--Milner--Frankl Theorem for $t$-Intersecting Families Keevash, J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:27:58.044870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T04:27:57.873847Z digest=sha256:b2dea3a8cd3bf07d76b615a88f34fb99bbd0023d819a84c9c3c772f5a7aba81f

Observation da067fc7-48f5-41ed-b7cf-d8dc66b4545b · outbound

This paper cites Hypergraph Extensions of Spectral Tur\'an Theorem.

A Spectral Hilton--Milner--Frankl Theorem for $t$-Intersecting Families Hypergraph Extensions of Spectral Tur\'an Theorem

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-11T04:27:57.877562Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:27:57.877562Z digest=sha256:ecbb2fdb49224928932014368ecd9cf7ec3e5588ebd8936611f84d851d15890f

Observation b745715e-fb73-4c03-9714-43422fc200b1 · outbound

This paper cites Nikiforov, Analytic methods for uniform hypergraphs,Linear Algebra Appl.457(2014), 455–535.

A Spectral Hilton--Milner--Frankl Theorem for $t$-Intersecting Families Nikiforov, Analytic methods for uniform hypergraphs,Linear Algebra Appl.457(2014), 455–535

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:27:58.031702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T04:27:57.881808Z digest=sha256:478bba3d2f126abcab1e08783cea9457569ee7976a87667324868c30b8abbdd4

Observation 20fbc442-334f-413d-abb5-ad628731617a · outbound

This paper cites Mih˘ ailescu, Primary cyclotomic units and a proof of Catalan’s conjecture,J.

A Spectral Hilton--Milner--Frankl Theorem for $t$-Intersecting Families Mih˘ ailescu, Primary cyclotomic units and a proof of Catalan’s conjecture,J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:27:58.018906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T04:27:57.885719Z digest=sha256:5c946c421ba818e6c1a755b668458b195811697b1d3cb96577b7209ba7580dbd

Observation 41570de4-db1d-458c-a2a5-64c6710b211a · outbound

This paper cites Qi, Eigenvalues of a real supersymmetric tensor,J.

A Spectral Hilton--Milner--Frankl Theorem for $t$-Intersecting Families Qi, Eigenvalues of a real supersymmetric tensor,J

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:27:58.005817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T04:27:57.890111Z digest=sha256:d823eb89d62ee72896ac852e28243ae63a54aaa2d5df172acdc104467215c01c

Observation a224c887-5cbf-429c-a7fb-71c3acf64737 · outbound

This paper cites an unresolved cited work.

A Spectral Hilton--Milner--Frankl Theorem for $t$-Intersecting Families Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-11T04:27:57.992794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T04:27:57.893873Z digest=sha256:84cd758eb4ee0160e325a4132a4547fa438c8cc7d0c8df59816c03e3dfd27e60

Observation 0eefcf48-88df-4fd7-9cbb-117c7425a023 · outbound

This paper cites Zhang and X.-D.

A Spectral Hilton--Milner--Frankl Theorem for $t$-Intersecting Families Zhang and X.-D

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:27:57.980183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T04:27:57.897955Z digest=sha256:a7814a31af658476c6c921853cffc5c4b4b67428ead142185d6a82cc943982b3

Pith citing papers

No inbound Pith citation observations are available.