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Paper Citation Record · LEDGER

On the Hilton-Spencer intersection theorems for unions of cycles

As of 15 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:1908.08825.

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

pith.paper-citation-record.v1
1908.08825 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:39:16.427571Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

31 of 31 outbound references displayed

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External citation measurements

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Outbound references

Observation c55c6b18-f1ac-414d-a4c8-b179332d2ce5 · outbound

This paper cites Ahlswede and L.H.

On the Hilton-Spencer intersection theorems for unions of cycles Ahlswede and L.H

Reference 1

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source=pdf_text observed=2026-08-14T11:39:16.301247Z digest=sha256:a5281b160c19a8106173f12d41d144253f7a9010d4580c22498e93c21fbc0066

Observation 98fe520b-04f4-4fa4-ae1f-52f993d9f78c · outbound

This paper cites Borg, Extremal t-intersecting sub-families of hereditary families, J.

On the Hilton-Spencer intersection theorems for unions of cycles Borg, Extremal t-intersecting sub-families of hereditary families, J

Reference 2

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source=pdf_text observed=2026-08-14T11:39:16.306090Z digest=sha256:52c11ce45c5dbc232c1d7021cc7ad1cafcf0760e8547ebfadca9301943ee5b45

Observation 696d339a-9b86-4f9c-a5ee-e3492273005b · outbound

This paper cites Borg, Intersecting families, cross-intersecting fa milies, and a proof of a conjecture of Feghali, Johnson and Thomas, Discrete Math.

On the Hilton-Spencer intersection theorems for unions of cycles Borg, Intersecting families, cross-intersecting fa milies, and a proof of a conjecture of Feghali, Johnson and Thomas, Discrete Math

Reference 3

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source=pdf_text observed=2026-08-14T11:39:16.310176Z digest=sha256:b4b493c3fc00d44c03427b439175fe9937e8e9f24251047d8f8723f37b412e3d

Observation dae18570-d827-4cf7-9843-3d31e09d89b4 · outbound

This paper cites Borg, Intersecting families of sets and permutations : a survey, in: Advances in Math- ematics Research (A.R.

On the Hilton-Spencer intersection theorems for unions of cycles Borg, Intersecting families of sets and permutations : a survey, in: Advances in Math- ematics Research (A.R

Reference 4

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source=pdf_text observed=2026-08-14T11:39:16.314287Z digest=sha256:156abf7cc9c7633dffbf1c4c2b49c97bc8239937c4aa1cf18c13e5f99db08b55

Observation cea07ba9-05f7-4263-bcdc-f235567559f6 · outbound

This paper cites Borg, On t-intersecting families of signed sets and permutations, Di screte Math.

On the Hilton-Spencer intersection theorems for unions of cycles Borg, On t-intersecting families of signed sets and permutations, Di screte Math

Reference 5

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source=pdf_text observed=2026-08-14T11:39:16.318609Z digest=sha256:d08eefc3b8f9bfc0b383c7248cb492b0e373f0ae41b9580ebe075a6a201881f3

Observation 7c366fd0-393b-4f6b-aa71-8f7d12ee6ddd · outbound

This paper cites Borg, The maximum product of sizes of cross-intersect ing families, Discrete Math.

On the Hilton-Spencer intersection theorems for unions of cycles Borg, The maximum product of sizes of cross-intersect ing families, Discrete Math

Reference 6

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source=pdf_text observed=2026-08-14T11:39:16.323404Z digest=sha256:8373a370837486903e73304e809488405f2b240794b4bc40fada68eac846aabc

Observation 51118dd8-319d-40a2-86c1-f25566469044 · outbound

This paper cites Borg and F.

On the Hilton-Spencer intersection theorems for unions of cycles Borg and F

Reference 7

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source=pdf_text observed=2026-08-14T11:39:16.328502Z digest=sha256:bbe1956a70b2754d6b530e27a932f424c0f6b8c363fa12aed79da1875428ef35

Observation 9d408dc7-b7e7-4454-a484-5e19cdcb3670 · outbound

This paper cites Borg and F.

On the Hilton-Spencer intersection theorems for unions of cycles Borg and F

Reference 8

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source=pdf_text observed=2026-08-14T11:39:16.332591Z digest=sha256:ffc415fe5e5076b068c23f9e483f364d517049419ea8d1a89e0614540e645f86

Observation 7f8d6077-86c1-4f66-932b-dcaee4ecc8bc · outbound

This paper cites Daykin, Erd˝ os–Ko–Rado from Kruskal–Katona, J.

On the Hilton-Spencer intersection theorems for unions of cycles Daykin, Erd˝ os–Ko–Rado from Kruskal–Katona, J

Reference 9

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source=pdf_text observed=2026-08-14T11:39:16.336663Z digest=sha256:d93c9c828b16db39a86eb0201a2b76115f110b805a19320aaf23e26b1f72c8d3

Observation e1ba3759-5362-424b-b477-667535d6c72c · outbound

This paper cites Deza and P.

On the Hilton-Spencer intersection theorems for unions of cycles Deza and P

Reference 10

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source=pdf_text observed=2026-08-14T11:39:16.340718Z digest=sha256:7ca7e5f0a1b36a84db3d25d8146c0c6fcf7fb6acdd21230425c7e0a8515bb7dc

Observation 951129f0-b286-40c0-b4e2-81d613efce5e · outbound

This paper cites Erd˝ os, C.

On the Hilton-Spencer intersection theorems for unions of cycles Erd˝ os, C

Reference 11

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source=pdf_text observed=2026-08-14T11:39:16.344748Z digest=sha256:0ebdfb6a991542d5d42643892d9ece10f239685630a6a6882ba98dbbc4ec2aa1

Observation 2fa826d4-cce9-4c41-a225-647c3d7df2b8 · outbound

This paper cites Feghali, M.

On the Hilton-Spencer intersection theorems for unions of cycles Feghali, M

Reference 12

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source=pdf_text observed=2026-08-14T11:39:16.349004Z digest=sha256:23946811a6583ab44b40e94d52c41b0a9f7df58d99e8aade1035fd6623e9ef47

Observation 8659dc55-f39c-448c-96c7-4b9aaa077987 · outbound

This paper cites Frankl, Extremal set systems, in: R.L.

On the Hilton-Spencer intersection theorems for unions of cycles Frankl, Extremal set systems, in: R.L

Reference 13

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source=pdf_text observed=2026-08-14T11:39:16.352863Z digest=sha256:d617807b887fcedfdae0eb513376fe7b4f37ec9bc72b085d3120fc6277f0698e

Observation 68cee758-8cc2-4507-ae45-1a0415c1c262 · outbound

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

On the Hilton-Spencer intersection theorems for unions of cycles Frankl, The Erd˝ os-Ko-Rado Theorem is true for n = ckt, Proc

Reference 14

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source=pdf_text observed=2026-08-14T11:39:16.357291Z digest=sha256:8e7f031ea996bd2471bba84026003487131dc01b207b2c0b54ece551d8a8f6de

Observation 7eea24d2-28e1-497f-ac82-bb6391e6e639 · outbound

This paper cites Frankl, The shifting technique in extremal set theor y, in: C.

On the Hilton-Spencer intersection theorems for unions of cycles Frankl, The shifting technique in extremal set theor y, in: C

Reference 15

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source=pdf_text observed=2026-08-14T11:39:16.361354Z digest=sha256:8fa8950b5d03ea931d8e716529d267572d390c64eadbc4c7bbd97a89179d4322

Observation cd959466-cd44-4c12-a202-afe54137b2fe · outbound

This paper cites Frankl and Z.

On the Hilton-Spencer intersection theorems for unions of cycles Frankl and Z

Reference 16

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source=pdf_text observed=2026-08-14T11:39:16.365671Z digest=sha256:0292728acc73a37c315e2da4545bd65ff79eacdc281f5834940acfc507f60059

Observation 1b8af060-a206-46c3-81df-6728ef4f87b3 · outbound

This paper cites Frankl and N.

On the Hilton-Spencer intersection theorems for unions of cycles Frankl and N

Reference 17

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source=pdf_text observed=2026-08-14T11:39:16.369880Z digest=sha256:1ea54b9644fe783b5d354bbed2438cebee5590335490c1bfdc77cf7f03baa3ad

Observation e47e2f45-8939-40a3-8914-3987de254864 · outbound

This paper cites Hilton, F.C.

On the Hilton-Spencer intersection theorems for unions of cycles Hilton, F.C

Reference 18

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source=pdf_text observed=2026-08-14T11:39:16.373986Z digest=sha256:0670ed97f8a1d7e49543d764b2665f74d2133b31ed744ffd2e6f5d5e9bad7900

Observation f18cd723-eb24-4564-b950-04cdb7dec960 · outbound

This paper cites Hilton and C.L.

On the Hilton-Spencer intersection theorems for unions of cycles Hilton and C.L

Reference 19

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source=pdf_text observed=2026-08-14T11:39:16.378102Z digest=sha256:425d5c835d5d961dfe679dae4f6816b6bf1aae66736ca669b068d24331294c41

Observation 955d72df-bbe7-4f0b-83bf-9a3f5b911cd8 · outbound

This paper cites Hilton and C.L.

On the Hilton-Spencer intersection theorems for unions of cycles Hilton and C.L

Reference 20

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source=pdf_text observed=2026-08-14T11:39:16.382146Z digest=sha256:7b08ebe8c060de25faa248ead037b0d10f4ac69e3caa80f71a53a7dedd17c866

Observation 43eccb23-f600-4cec-a1d9-20c63d89d6bc · outbound

This paper cites Holroyd, C.

On the Hilton-Spencer intersection theorems for unions of cycles Holroyd, C

Reference 21

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source=pdf_text observed=2026-08-14T11:39:16.386128Z digest=sha256:751dbd296c1ad16f89047dec29422a0712a8acba782b7f773c830d5747d6ed21

Observation 7d9b471c-54f2-4364-8136-a8f5ff261ac8 · outbound

This paper cites Holroyd and J.

On the Hilton-Spencer intersection theorems for unions of cycles Holroyd and J

Reference 22

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source=pdf_text observed=2026-08-14T11:39:16.390442Z digest=sha256:d2bb0b5b028f6b9ee7728129e5ede0dedff3598f48af4dfc968f576ec00e3c82

Observation cc524a78-d849-4996-ad80-5ed86304b771 · outbound

This paper cites Hurlbert and V.

On the Hilton-Spencer intersection theorems for unions of cycles Hurlbert and V

Reference 23

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source=pdf_text observed=2026-08-14T11:39:16.395130Z digest=sha256:0ebd1b8bf5ade2614010b49f916fe0cefd4f6d8732cbae1b12ce1da64917ca1b

Observation 65d265d2-6601-4a13-8f20-0180540763e3 · outbound

This paper cites Hurlbert and V.

On the Hilton-Spencer intersection theorems for unions of cycles Hurlbert and V

Reference 24

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source=pdf_text observed=2026-08-14T11:39:16.399268Z digest=sha256:3c5e2fb81ba93abb08fa8878f2f51eaa5a199bcd8be14251bd0d79c981a8a1e4

Observation 1f485e55-620d-4b9f-adee-6886c14d5d94 · outbound

This paper cites Katona, A simple proof of the Erd˝ os–Chao Ko–Rad o theorem, J.

On the Hilton-Spencer intersection theorems for unions of cycles Katona, A simple proof of the Erd˝ os–Chao Ko–Rad o theorem, J

Reference 25

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source=pdf_text observed=2026-08-14T11:39:16.403269Z digest=sha256:b8b7a5266c1199312abf9810a7f7bd729f1ddd866a5c6d976fe438c4c752cd22

Observation 7f7ebb10-b9b2-4a8a-9ccd-1473cd608566 · outbound

This paper cites Katona, A theorem of finite sets, in: Theory of Gra phs, Proc.

On the Hilton-Spencer intersection theorems for unions of cycles Katona, A theorem of finite sets, in: Theory of Gra phs, Proc

Reference 26

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source=pdf_text observed=2026-08-14T11:39:16.407416Z digest=sha256:a4eb2b01178a506a7b0a2283449a553d0e0ebadb9e14763e599b65cd26652b72

Observation 65192152-646f-43b4-871b-99a13479510f · outbound

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

On the Hilton-Spencer intersection theorems for unions of cycles Katona, Intersection theorems for systems of fin ite sets, Acta Math

Reference 27

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source=pdf_text observed=2026-08-14T11:39:16.411539Z digest=sha256:1ddc56760c4155e97732d946e1c76d1ba1067e865ae290bde53ee18496748ef4

Observation 241430f7-4614-4d61-8694-6253195961d5 · outbound

This paper cites Kruskal, The number of simplices in a complex, in: M athematical Optimization Techniques, University of California Press, Berkeley, Cal ifornia, 1963, pp.

On the Hilton-Spencer intersection theorems for unions of cycles Kruskal, The number of simplices in a complex, in: M athematical Optimization Techniques, University of California Press, Berkeley, Cal ifornia, 1963, pp

Reference 28

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source=pdf_text observed=2026-08-14T11:39:16.415676Z digest=sha256:a9b7f029cd1040e59654e4a36624a883428d0e885f777913e36212bdbf2e6a95

Observation 4edf9b19-c62d-408b-b42a-d82eeb4a2d1c · outbound

This paper cites Talbot, Intersecting families of separated sets, J.

On the Hilton-Spencer intersection theorems for unions of cycles Talbot, Intersecting families of separated sets, J

Reference 29

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source=pdf_text observed=2026-08-14T11:39:16.419548Z digest=sha256:909c76a3f6f02df969c4e4b869f6e0f54a718f027465a6af4e331071bf61167d

Observation 95be2e5c-c477-4151-864d-7c97de997f07 · outbound

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

On the Hilton-Spencer intersection theorems for unions of cycles Wilson, The exact bound in the Erd˝ os–Ko–Rado theorem, Combinatorica 4 (1984), 247–257

Reference 30

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source=pdf_text observed=2026-08-14T11:39:16.423656Z digest=sha256:d57bc8f76924317f7e5e52e1acf2a21b98755987bfbe7297f27ce707b38131de

Observation c602009e-f452-46d3-8756-93c431053184 · outbound

This paper cites Woodroofe, Erd˝ os–Ko–Rado theorems for simplicial complexes, J.

On the Hilton-Spencer intersection theorems for unions of cycles Woodroofe, Erd˝ os–Ko–Rado theorems for simplicial complexes, J

Reference 31

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source=pdf_text observed=2026-08-14T11:39:16.427571Z digest=sha256:8d128714fb0c2fc713d2986e1f5b3d8450bb7aaf10ba2818a31bdaa0276af4ad

Pith citing papers

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