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Paper Citation Record · LEDGER

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

As of 10 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 1 inbound Pith citation observation for arXiv:2607.03315.

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

pith.paper-citation-record.v1
2607.03315 v1

Coverage vector

measured 59 of 59 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-12T03:20:12.486236Z

measured 60 of 60 standing notices

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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 2026-08-07T20:36:29.674173Z

measured 0 of 1 external citation measurements

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Source: pith, observed 2026-08-07T20:36:29.722668Z

Reference resolution

59 of 59 outbound references displayed

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Outbound references

Observation 7a54e0ed-dc6c-4001-b1c4-36ffb3d72de8 · outbound

This paper cites Ahlswede and L.H.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Ahlswede and L.H

Reference 1

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Observation b5588bbd-a1ee-4e3e-9990-2488f9b2e243 · outbound

This paper cites Ahlswede and L.H.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Ahlswede and L.H

Reference 2

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Observation 4c7f72ef-3f57-4a25-a184-c1c1d0ba837b · outbound

This paper cites Alweiss, S.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Alweiss, S

Reference 3

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Observation cf128fda-b241-4a55-b0a9-6a7ccdcacd99 · outbound

This paper cites Balogh and D.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Balogh and D

Reference 4

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Observation de5b65ff-ba60-4699-9845-bb556a315d72 · outbound

This paper cites Blokhuis, A.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Blokhuis, A

Reference 5

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Observation cc79cc51-cda8-4fa1-a3cf-d75d2bb83d60 · outbound

This paper cites Bollob´ as and I.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Bollob´ as and I

Reference 6

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Observation 346f32d4-838b-4676-8733-6aef2bb55389 · outbound

This paper cites Borg, Ont-intersecting families of signed sets and permutations, Discrete Math.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Borg, Ont-intersecting families of signed sets and permutations, Discrete Math

Reference 7

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Observation af22553b-2a00-4db6-9368-13787777940e · outbound

This paper cites Borg and I.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Borg and I

Reference 8

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Observation b4692b37-f237-432a-94be-502fff004e70 · outbound

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A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Unresolved cited work

Reference 9

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Observation dad06d46-e3d5-4e65-9cc3-48f9123ac92a · outbound

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A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Unresolved cited work

Reference 10

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Observation 42084a96-4428-4442-9ca5-be2fa83c1572 · outbound

This paper cites Deza and P.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Deza and P

Reference 11

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Observation 59b00337-0fbe-46d0-ba05-4a7dbf26b1f4 · outbound

This paper cites Dinur and E.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Dinur and E

Reference 12

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Observation bb401794-b1b7-406a-b557-18e02f2ab3d4 · outbound

This paper cites Ellis, N.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Ellis, N

Reference 13

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Observation b732d3d9-e245-4cfb-b218-72effb8e0e65 · outbound

This paper cites Ellis, Intersection problems in extremal combinatorics: theorems, techniques and ques- tions old and new, in: Surveys in Combinatorics 2022, in: London Math.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Ellis, Intersection problems in extremal combinatorics: theorems, techniques and ques- tions old and new, in: Surveys in Combinatorics 2022, in: London Math

Reference 14

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Observation 38f1c6a2-ab2a-4c26-8dc6-d20f930c0bcc · outbound

This paper cites Ellis, N.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Ellis, N

Reference 15

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Observation 52bd17c7-55a7-4660-8c43-eb25ce4545ba · outbound

This paper cites Erd˝ os, C.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Erd˝ os, C

Reference 16

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Observation b723d9c5-8254-4def-8a51-9a36319c3014 · outbound

This paper cites Erd˝ os and L.A.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Erd˝ os and L.A

Reference 17

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Observation 239e9cca-d59f-4e71-bd41-4ed6f64077d1 · outbound

This paper cites Frankl, The Erd˝ os–Ko–Rado theorem is true forn=ckt, in: Combinatorics, Vol.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Frankl, The Erd˝ os–Ko–Rado theorem is true forn=ckt, in: Combinatorics, Vol

Reference 18

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Observation c6e00242-7f16-49b1-84aa-e7e01ccd6c5e · outbound

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

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Frankl, On intersecting families of finite sets, J

Reference 19

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Observation 8d702688-5700-41ec-b1ac-b9a1837eaedd · outbound

This paper cites Frankl, Erd˝ os–Ko–Rado theorem with conditions on the maximal degree, J.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Frankl, Erd˝ os–Ko–Rado theorem with conditions on the maximal degree, J

Reference 20

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Observation 5aa2b3a9-237a-414e-8586-b56605978688 · outbound

This paper cites Frankl, The shifting technique in extremal set theory, in: Surveys in Combinatorics, in: London Math.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Frankl, The shifting technique in extremal set theory, in: Surveys in Combinatorics, in: London Math

Reference 21

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Observation 0003411c-ca40-425e-a7da-d3aaae21ec48 · outbound

This paper cites Frankl, Antichains of fixed diameter, Moscow J.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Frankl, Antichains of fixed diameter, Moscow J

Reference 22

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Observation 70f979f2-c523-48f1-ab2a-53bbc67d57a6 · outbound

This paper cites Frankl, Maximum degree and diversity in intersecting hypergraphs, J.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Frankl, Maximum degree and diversity in intersecting hypergraphs, J

Reference 23

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Observation ad79e521-c919-490a-9e13-7503ae9716f7 · outbound

This paper cites Frankl and Z.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Frankl and Z

Reference 24

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Observation 107cd0ce-251e-4622-a2bd-61714d3d1192 · outbound

This paper cites Frankl and A.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Frankl and A

Reference 25

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Observation c222b6d5-c104-4dc6-acee-ebd5db359c7f · outbound

This paper cites Frankl and A.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Frankl and A

Reference 26

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Observation b4a67044-ed4d-4569-8e12-cf15d021f7b9 · outbound

This paper cites The Hajnal--Rothschild problem.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability The Hajnal--Rothschild problem

Reference 27

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Observation a5123258-0406-477f-9da3-52ae219d1ad7 · outbound

This paper cites Frankl and N.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Frankl and N

Reference 28

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Observation 69c5a496-2907-43c1-ab8c-efcd02186dba · outbound

This paper cites Frankl and N.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Frankl and N

Reference 29

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Observation 7d228cec-5cb2-4ea0-95dd-381a92d2d0fb · outbound

This paper cites Frankl and J.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Frankl and J

Reference 30

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Observation 248f47ed-3ebd-4fbd-8b04-b7077d83791a · outbound

This paper cites Frankl and J.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Frankl and J

Reference 31

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Observation 32aa1dc2-f7f1-4f18-bc8d-5c05ce951be3 · outbound

This paper cites Frankl and J.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Frankl and J

Reference 32

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

This paper cites A product version of the Hilton-Milner Theorem II.

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

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Observation d0d83b19-9c99-459d-92ec-4ee417ae5575 · outbound

This paper cites F¨ uredi, Cross-intersecting families of finite sets, J.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability F¨ uredi, Cross-intersecting families of finite sets, J

Reference 34

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Observation 4256067c-8e1b-4193-96e6-880d9a16addc · outbound

This paper cites Godsil and K.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Godsil and K

Reference 35

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Observation 272c8365-7c83-4424-8530-52468277bb72 · outbound

This paper cites Hajnal and B.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Hajnal and B

Reference 36

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Observation 392633fe-9cf3-456e-8f75-127c8bbd130b · outbound

This paper cites Hilton, The Erd˝ os–Ko–Rado theorem with valency conditions, Unpublished Manuscript, 1976.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Hilton, The Erd˝ os–Ko–Rado theorem with valency conditions, Unpublished Manuscript, 1976

Reference 37

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Observation 4ccbb9af-9e7e-45ba-be3a-8796c732a79d · outbound

This paper cites Hilton, An intersection theorem for a collection of families of subsets of a finite set, J.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Hilton, An intersection theorem for a collection of families of subsets of a finite set, J

Reference 38

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Observation 7a467c7b-80df-4955-b6bb-969a547f0265 · outbound

This paper cites Hilton and E.C.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Hilton and E.C

Reference 39

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Observation df5d12b9-937d-43cb-b3bc-77280065ea36 · outbound

This paper cites Huang, Two extremal problems on intersecting families, European J.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Huang, Two extremal problems on intersecting families, European J

Reference 40

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Observation b9f9d5a1-95e0-45cf-80d2-b561bce2a649 · outbound

This paper cites Keevash, Shadows and intersections: Stability and new proofs, Adv.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Keevash, Shadows and intersections: Stability and new proofs, Adv

Reference 41

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Observation 0556976d-761d-4594-9ccc-04d6acfae052 · outbound

This paper cites Keevash and E.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Keevash and E

Reference 42

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Observation d0c1b83b-e8b5-4fa8-930a-20546df9107d · outbound

This paper cites Global hypercontractivity and its applications.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Global hypercontractivity and its applications

Reference 43

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Observation 2f9023ad-e3b5-424d-a18c-543d9f898066 · outbound

This paper cites Keevash, N.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Keevash, N

Reference 44

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Observation 7219b670-8bc2-4784-87ea-a486134b0512 · outbound

This paper cites Keevash, N.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Keevash, N

Reference 45

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Observation 52bec6b8-c939-400c-907e-63988aaff3af · outbound

This paper cites A Complete Intersection Theorem for Large Permutation Groups.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability A Complete Intersection Theorem for Large Permutation Groups

Reference 46

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Observation 1c5af834-a81d-4837-8ca5-9b3bc905a0ab · outbound

This paper cites Keller and N.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Keller and N

Reference 47

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Observation ce031463-818c-493f-b129-b8fb083dcbf0 · outbound

This paper cites Keller, D.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Keller, D

Reference 48

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Observation aeb2c0c8-2dfd-40ff-95f8-d55c0d490795 · outbound

This paper cites Kupavskii, Diversity of uniform intersecting families, European J.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Kupavskii, Diversity of uniform intersecting families, European J

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Observation 8ab4980c-7005-44ec-9181-5322ba398c17 · outbound

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

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability An almost complete $t$-intersection theorem for permutations

Reference 50

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Observation f7393877-9532-4d00-bdea-838f72db9bf1 · outbound

This paper cites Kupavskii, Erd˝ os–Ko–Rado type results for partitions via spread approximations, Eu- ropean J.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Kupavskii, Erd˝ os–Ko–Rado type results for partitions via spread approximations, Eu- ropean J

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Observation 0d953b75-ec2c-47bc-b263-809607039a9f · outbound

This paper cites Kupavskii and D.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Kupavskii and D

Reference 52

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Observation 2c16af73-40e1-4269-920a-23705fe54023 · outbound

This paper cites Kupavskii and D.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Kupavskii and D

Reference 53

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Observation c9ec6d0c-3bd2-4ae7-9937-236c8371754a · outbound

This paper cites Lemons and C.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Lemons and C

Reference 54

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Observation 8099a4e8-b43d-487d-86f8-494692708baf · outbound

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

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability M¨ ors, A generalization of a theorem of Kruskal, Graphs Combin

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Observation 3889a25b-095e-4c13-bb10-6f32a14b9e48 · outbound

This paper cites Extremal $t$-intersecting Families of Permutations for Large $t$.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Extremal $t$-intersecting Families of Permutations for Large $t$

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Observation f43e4ae0-3654-45d0-ac59-9361e25f5505 · outbound

This paper cites Wen and B.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Wen and B

Reference 57

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Observation afa4f975-a441-48ee-95c0-0ff983ad9b49 · outbound

This paper cites Wilson, The exact bound in the Erd˝ os–Ko–Rado theorem, Combinatorica 4 (1984) 247–257.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Wilson, The exact bound in the Erd˝ os–Ko–Rado theorem, Combinatorica 4 (1984) 247–257

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Observation 0e3495ce-eac4-4d25-9311-8405fbc32c8d · outbound

This paper cites an unresolved cited work.

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability Unresolved cited work

Reference 59

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Pith citing papers

Observation 1ab63400-7ea3-427b-9ce5-34469f7b119f · inbound

Erd\H{o}s--Ko--Rado and Hilton--Milner Theorems in the Partition Lattice cites this paper.

Erd\H{o}s--Ko--Rado and Hilton--Milner Theorems in the Partition Lattice A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability

Reference 16

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

source=pdf_text observed=2026-08-07T20:36:29.674173Z digest=sha256:0a5d13d7b8009b894df24811d376252aad30963c3fd026104691514813a891a4