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Paper Citation Record · LEDGER

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families

As of 21 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2607.21589.

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

pith.paper-citation-record.v1
2607.21589 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T07:13:08.401967Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

34 of 34 outbound references displayed

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External citation measurements

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Outbound references

Observation 4f594922-a37b-43c1-8c97-5a2c3f3db216 · outbound

This paper cites Ahlswede and L.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Ahlswede and L

Reference 1

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source=pdf_text observed=2026-08-01T07:13:04.917925Z digest=sha256:46b0dc4e320baa33c487c617a4d3181f1ddb508b292e72bf30c84b1366c47436

Observation e4338e2c-53cc-415d-93e1-d412ac44c6af · outbound

This paper cites On sharp isoperimetric inequalities on the hypercube.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families On sharp isoperimetric inequalities on the hypercube

Reference 2

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source=pdf_text observed=2026-08-01T07:13:05.065462Z digest=sha256:7448fb430248f03c61ab476ee1fc79532c69e0ebd9423317bd2f1acc1564f885

Observation 9b5fddbd-9256-4e4b-aefb-37a9dd84eee2 · outbound

This paper cites Optimal Young's convolutions inequality and its reverse form on the hypercube.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Optimal Young's convolutions inequality and its reverse form on the hypercube

Reference 3

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source=pdf_text observed=2026-08-01T07:13:05.155348Z digest=sha256:fe2fb3a8a054dcdab94e336c1f454c9a485ae188b0a5a126858f6f882265e6bf

Observation b671eb0e-a250-4d22-9811-6d8cbbf620ae · outbound

This paper cites Berger and Y.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Berger and Y

Reference 4

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source=pdf_text observed=2026-08-01T07:13:05.234910Z digest=sha256:e64f74b35950ab4a64ab4b27fddaca631fae3212f71292082249b33c4effef6a

Observation 7e8dff00-b29a-43b8-9389-9ab3e4914d62 · outbound

This paper cites an unresolved cited work.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Unresolved cited work

Reference 5

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source=pdf_text observed=2026-08-01T07:13:05.342046Z digest=sha256:ef998ee6d01d35d71e1c460d619537f4dca925004f1709915ccb59eefaa6569b

Observation 3d927014-f986-4503-8ea0-6d3f803a78f0 · outbound

This paper cites an unresolved cited work.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Unresolved cited work

Reference 6

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source=pdf_text observed=2026-08-01T07:13:05.452241Z digest=sha256:ccab6873037208550f8822d0120c0af9f8ad5b8098433b9099abcfc26b3711db

Observation 4c15b4fb-1524-4fa2-aa07-44c99293aa90 · outbound

This paper cites Chang, H.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Chang, H

Reference 7

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source=pdf_text observed=2026-08-01T07:13:05.562361Z digest=sha256:0d16740e54dd5a9a9366177adda546454031ff24f58ae859b389e3ce5ea95996

Observation 69c5f037-c9c3-4e7d-9f30-ae2dd5a34c28 · outbound

This paper cites Dinur and S.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Dinur and S

Reference 8

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source=pdf_text observed=2026-08-01T07:13:05.671381Z digest=sha256:d8c273fc0da3f4ed171659d869a9439988a68f292b1e5bc3d58746e7488a874b

Observation 14d0bf44-a39c-4d01-b9bf-2d55bf49aef7 · outbound

This paper cites Dimension-free bounds for Riesz transforms on the Hamming cube via a Bellman function.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Dimension-free bounds for Riesz transforms on the Hamming cube via a Bellman function

Reference 9

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source=pdf_text observed=2026-08-01T07:13:05.770950Z digest=sha256:93792343556af89b883c90db5eeeb02f2a38afaa6a480c413afb22e8726f42fe

Observation 070666fd-bb20-4b5e-a123-013264a716eb · outbound

This paper cites Sharp isoperimetric inequalities on the Hamming cube near the critical exponent.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Sharp isoperimetric inequalities on the Hamming cube near the critical exponent

Reference 10

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source=pdf_text observed=2026-08-01T07:13:05.869973Z digest=sha256:b21737f355927253a962c53171e09e3ba82eba85f51f6db915e1d030848ced26

Observation 96085536-c1c0-44ab-98ec-392d139e8b8e · outbound

This paper cites Durcik, P.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Durcik, P

Reference 11

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source=pdf_text observed=2026-08-01T07:13:05.975545Z digest=sha256:726abd136f31a9ecaa7154feac7cd67d23e788c823f917113fe679bd5e45cc95

Observation ecca8c4f-e4b1-49fd-8cd6-ae26235191dd · outbound

This paper cites Ellis, Y.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Ellis, Y

Reference 12

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source=pdf_text observed=2026-08-01T07:13:06.078361Z digest=sha256:d60f12c9340af2db05f13cf15fce6c0ba7183c652ea8e0ce1be6ad9428a016a1

Observation 5da8cdfe-b4bd-4d7b-82ec-841a0acec998 · outbound

This paper cites Ellis, E.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Ellis, E

Reference 13

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source=pdf_text observed=2026-08-01T07:13:06.182279Z digest=sha256:38acd7e2ab2660c82d26c942e1da8471c52b881eed8c45b5198118825268fa41

Observation c4f07ed7-3beb-4fae-ab51-ea8dcfbb1ec6 · outbound

This paper cites Ellis, N.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Ellis, N

Reference 14

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source=pdf_text observed=2026-08-01T07:13:06.252306Z digest=sha256:df869ca105591e46d8497b3627f9f3852b413b776ae3127b610fbce79b6d1b40

Observation 638da492-d78d-40f2-b73b-640a374af310 · outbound

This paper cites Ellis, G.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Ellis, G

Reference 15

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source=pdf_text observed=2026-08-01T07:13:06.347576Z digest=sha256:8eca53ac87d41c22d5b5a2f310221ed22c98a9cf6ac343d85152ada5bacaf0c6

Observation 52d485a3-56f7-4216-8f9b-5914045f6649 · outbound

This paper cites Erdős, C.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Erdős, C

Reference 16

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source=pdf_text observed=2026-08-01T07:13:06.484194Z digest=sha256:588a22efa028a371a8c3c8b80cc1644ad130da1d7a22398f0732f9c19d0f165d

Observation aac5f7c5-6239-4969-aac9-4f9708ccb903 · outbound

This paper cites Frankl and M.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Frankl and M

Reference 17

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source=pdf_text observed=2026-08-01T07:13:06.563297Z digest=sha256:511046bc2910d57efbe43ae6e3ef5b171d6979fc58f1730b01f7d9b864c1e4ad

Observation 5abadef6-4bfc-450b-9528-11102c412fe8 · outbound

This paper cites Frankl and Z.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Frankl and Z

Reference 18

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source=pdf_text observed=2026-08-01T07:13:06.628698Z digest=sha256:bf67211e511909fde42dc24bf9a0d67567bca97d6e126e610b89f4625ddffe7e

Observation d88fd4d8-8d89-498d-b74f-0d832172e0dc · outbound

This paper cites Frankl and N.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Frankl and N

Reference 19

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source=pdf_text observed=2026-08-01T07:13:06.692836Z digest=sha256:d95950845a2a4e68002b1d0b46579d87d5cbfc3d9f49330e255baa0039fed3c9

Observation a7d26443-0000-4d40-8171-5040ab7af1c3 · outbound

This paper cites Frankl and N.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Frankl and N

Reference 20

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Observation e6d6fea8-28c8-4c60-8710-fc312bbef137 · outbound

This paper cites Frankl and N.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Frankl and N

Reference 21

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Observation 458e8a72-9c1c-418b-9144-f572890249df · outbound

This paper cites Frankl and N.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Frankl and N

Reference 22

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Observation 2e84a99c-c227-4de2-b075-ee6db6b9ce20 · outbound

This paper cites Friedgut.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Friedgut

Reference 23

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Observation 9f0e4950-e8f9-4f9b-97f0-3bfb12e1cb0c · outbound

This paper cites Gupta, Y.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Gupta, Y

Reference 24

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Observation 0d64623d-7bee-4c59-a78c-f83101136c34 · outbound

This paper cites an unresolved cited work.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Unresolved cited work

Reference 25

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Observation 88684524-dd8e-4f5f-830b-0318ca29557e · outbound

This paper cites Keller, N.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Keller, N

Reference 26

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Observation 871c817f-a194-4a56-a26c-a203a7fcad6a · outbound

This paper cites an unresolved cited work.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Unresolved cited work

Reference 27

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Observation ab27562e-361a-448c-98c2-906971c6caf0 · outbound

This paper cites Kupavskii and D.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Kupavskii and D

Reference 28

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Observation a8e533ed-52c4-4826-b44b-d0d8d4b6f42c · outbound

This paper cites Matsumoto and N.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Matsumoto and N

Reference 29

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Observation 80a291ec-3cb5-4cd6-81f7-58c00bc6f79c · outbound

This paper cites an unresolved cited work.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Unresolved cited work

Reference 30

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source=pdf_text observed=2026-08-01T07:13:07.768371Z digest=sha256:1bf6623776d9609f30a28b3663485a56fbe105082ffb83ff564e1e59e6107915

Observation f9b661a6-f63e-4a74-a7cb-b9059a3c05a8 · outbound

This paper cites Talagrand.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Talagrand

Reference 31

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source=pdf_text observed=2026-08-01T07:13:07.881064Z digest=sha256:bab60c8435d50d3f1836739a7908f4ef98d2ae2e015defe57bb5c3f3d31958fe

Observation 7ec3d2de-8a46-40af-a8a8-350d7a0e775c · outbound

This paper cites Tokushige.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Tokushige

Reference 32

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source=pdf_text observed=2026-08-01T07:13:08.059174Z digest=sha256:2d0573a8dd83c2f94fc9bdbd0aaa953839740d8eb55ce3af583a1a9444c5dca4

Observation 4a5b7ade-6d32-4a8a-a2da-4fe7d24d2ed0 · outbound

This paper cites Tokushige.

The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Tokushige

Reference 33

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source=pdf_text observed=2026-08-01T07:13:08.234083Z digest=sha256:52174284579a6a46b1ce290a7811a25b4f575bf9c70b10f31d0a0b9f0fb98fce

Observation 879f6bba-8866-4c95-9fe9-97087c10eba6 · outbound

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The Frankl--Tokushige product conjectures for $r$-cross-intersecting families Unresolved cited work

Reference 34

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source=pdf_text observed=2026-08-01T07:13:08.401967Z digest=sha256:766acfb867628206a82babe2c88db68dcae2dcdc406cb0338bd13b6db77ef9f1

Pith citing papers

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