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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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T04:27:57.809978Z digest=sha256:fb09fbd650741f800b07d6dfb17c8c13f9e6e06770e5702475964e5fabb55b41

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T04:27:57.815132Z digest=sha256:19ef6bf2bd3d34959ff8c302d49fb7cf8874bd824c84c065b303d71f6c6005e7

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T04:27:57.819430Z digest=sha256:fce04a53280c93adbf39c51d491e3d700a3d99a52236ab4e9574340c6e19077c

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T04:27:57.832558Z digest=sha256:ed87674fe23390e5e38d1011cb929f6eaed7325d4adac244d052b0bc0750479b

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T04:27:57.837234Z digest=sha256:7f2f61264e3b9999b9f7b0e72c0682055a8ecccd9d06df31e28f355644063b51

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T04:27:57.841391Z digest=sha256:cc78ef9a18881bc91437783affd3fb402426daf5e8dcdf8077d3415a76380f16

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T04:27:57.845450Z digest=sha256:85b65349ff1c65b09440ca557d6a086402284c239e37a1c1f2879a50334d5837

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T04:27:57.849313Z digest=sha256:78e93a1635d794c9046da0fb4a8209a48fe9ee53222a0836363ba19dbc180c35

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T04:27:57.853270Z digest=sha256:1fc61dede0c5019b0a5edae258d71a93e51c5043b58d6e7adf9a828d934e7ffa

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T04:27:57.857701Z digest=sha256:682033cc2fd3688f2063bf7407f2a8035f4fa595e2e618f93ee8c67aba8c8964

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T04:27:57.861850Z digest=sha256:bf4e6033b0cc59655d7d0209b83b344cef4158cafd669e954d15a8cd8068ee24

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T04:27:57.865919Z digest=sha256:7f37fa839cfc7f1d8db5000474af134a134554de08b523efb992d1e110f9144a

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T04:27:57.869861Z digest=sha256:8df3f55cb14c8fef627906d71d890f0c742145d218f6bead427b17fb1593cb0c

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T04:27:57.873847Z digest=sha256:a26322e5791c545ac0c7fcfcebc9360819ba0321ca4e282ff80686ef27eceef0

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T04:27:57.881808Z digest=sha256:5575e0fa9703977a098a990b44ef201f5e18d87801cee3d2fb817548c1f97c17

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T04:27:57.885719Z digest=sha256:8f7782e4d9d327fda3698780223c45b71cde1137fe499ac3c2a1103519fa7599

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T04:27:57.890111Z digest=sha256:4f533f19d28a1a140d0311622dc14517839bb1d4e09985192ba750c83abc52e7

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T04:27:57.893873Z digest=sha256:465fbe4434839c69417b2860b8544d830048d81a906d887bb6fe8a61ec8a1898

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T04:27:57.897955Z digest=sha256:0a1932e9283a00a8dc409d977917c207f6ba9cdab6e683b8524fa96889a3a4de

Pith citing papers

No inbound Pith citation observations are available.