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Paper Citation Record · LEDGER

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

As of 7 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 2026-08-07T06:34:17.273281+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

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=sha256:754a10bd55019eed762c9a994f7346dae29e72ab5e0a6d62f40d4884756ae7c3

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:b7549e35c4478148acf139bf60be170ca57e9988d4b219901824d80a01ade788

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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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=sha256:4e8bfef25790054769f3766e9a9d664fdce43152906fe47bef51d25714f0de09

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:d44083f4a53f506940e7a0a3091dc614ad50629525db1b1536f2e8f19af9d542

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:b8cc942b525d930937d4712885c39c5ed3cfb0780977d421c0ff416ea97ac5c1

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:d16d8b3e4c0d2c20ae472c273889acfa271ee7dd708145deb20aa72c7306035e

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=sha256:12abf8488f4a603b61a395ad1106f3aeb34304627fa184f4ec5ccd3de9aa51dd

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=sha256:329d2adf7f038400f3938c20f7da64ea1856c6bc091e93b4169fc10e90475a62

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=sha256:272547e4a8a92b026d3b36960c820731a7480d42e7d0c3c9b07a44c2e47dffe3

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:b84c5d8b9d1d1419cf21e3db9d845be9135d49b1a206dbb124f4352c8418054d

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=sha256:943d14656ea9b7b996f5f2a5085b1eaa0e5dd74dee500fe7525baa3fe1d12929

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=sha256:4ab98e4927ccd2453223420d10b54399682bba2ecad4a81cf84be1b68c89071c

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:a4fb14bea40a65956dfe759da41c7e1fa56fc485b137467196529bf0d75b23b6

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=sha256:9969fa89af87f827c0b04de7a6f1c655b3f2707f58d825b9321af7e7c994add4

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=sha256:8adc3cad83267787797f337cb66453aae057b3c7432fb6592b3c81b74e5d3d32

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=sha256:81305cbfd89dc0acfc773a29b7d8373dc485c3f7483b1a8a90d5131bb8e50e38

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=sha256:013109352117e990d5c2fae3de39f46f26d9c38e9ff49de279b8928b09392de8

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:fb36387afed3ac26f352e0d698e04f80e95aa797f3deefc16d843cb0a926f69a

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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source=pdf_text observed=2026-08-01T07:13:06.811723Z digest=sha256:de48f98e828da4e9cb2088a503ac6c02033edf03b452ed0e89d6f099c01b64a2

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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source=pdf_text observed=2026-08-01T07:13:07.374048Z digest=sha256:21776b0e85ce0bdaa6e84e083c2a9b319393b9cba37ce6b6a840d7d773882b3f

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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source=pdf_text observed=2026-08-01T07:13:07.516949Z digest=sha256:0eeca06553aab1f2a11f7d6b5e3ef56d0809fb12c679743adf621bbb9ce7770d

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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source=pdf_text observed=2026-08-01T07:13:07.654800Z digest=sha256:f6df984e25534d64c2ca7f0cee6c1ddf08312d3baa3ae8c5532b9526ea6559a0

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:da12a71d61b78ad4013acfb0becc7f7219eb874a8e2e241f036e54b0844cd901

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=sha256:47b23be0ef88a77dd088cbae556e00fe8fe3e35214681c1a3858ecbb244324c3

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=sha256:54a93a80a4539396873f3c071c8936f7e41847704b1faa3ed1b6d9bf37d01fce

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=sha256:60ae3b554f5fea2d48a1f4c49d98d98c216f7947fe2331e8ca2985a62317fb79

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

This paper cites an unresolved cited work.

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:e25e9f7c0cb974a3e8ad67e7efcd50afc0561181bf539e3ce8f2927ac74b6110

Pith citing papers

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