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Paper Citation Record · LEDGER

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products

As of 11 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2606.12178.

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

pith.paper-citation-record.v1
2606.12178 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T09:12:36.429048Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

32 of 32 outbound references displayed

  • verified exact1
  • verified fuzzy0
  • unresolved30
  • parse uncertain1
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d0b293e1-d7f3-44a1-ac46-92682dab2b29 · outbound

This paper cites Ahlswede and L.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Ahlswede and L

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:c199d15a769c15a9933567aaf1841c6d988a124f97e03419e3eec660b2e59cda

Observation eb334e28-8890-4003-8d6c-d6aff500c62d · outbound

This paper cites an unresolved cited work.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Unresolved cited work

Reference 2

Resolution
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no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:ac1c61b09ea4c14f7373907ee969568d33422cdbb44c9b17baf77b5a1b7a75c0

Observation 1a190046-1839-4ed4-84f7-86d9b7a0097d · outbound

This paper cites Cherkashin.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Cherkashin

Reference 3

Resolution
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no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:afea409f36b207532db555d1b73749a7bc9fa2a06b758737d5f6b81bdef5176e

Observation 8bc186fe-b02f-4f93-b57f-c067ad64936b · outbound

This paper cites Cherkashin and S.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Cherkashin and S

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:3cd7930ad14c86695ec13c1ff56d77e928429e14003b5094afb0b11c5020820d

Observation 69bef322-f54f-4933-80ff-6464dcf715c1 · outbound

This paper cites Cherkashin, A.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Cherkashin, A

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:e11b073e82ab293b5e537aca4abfce7e936b30dffa3c51e299d4d966a8d2d7b9

Observation 1ffe2c16-e9ed-4b03-b3a3-473f8eb6cf42 · outbound

This paper cites an unresolved cited work.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:792b419ac517b5c6685043d79f82b9dc5a7447e4b891d58a70a01226da78c4e0

Observation c9a485f5-6601-435f-9739-049bc88ca575 · outbound

This paper cites an unresolved cited work.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:b6a8134de6e3e6bc5b67c1164a61df33bbcbf03bc5f6ee6820c4f6c7c290d074

Observation 4aa1db57-88ca-4e23-bd80-b4dbb3d13a99 · outbound

This paper cites an unresolved cited work.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:df12f48009fb83b9dcae2ac5341847021c7f299b74b8c67eba87854e6b3f38c7

Observation a2889582-51a1-4502-93e5-49caaf4326e4 · outbound

This paper cites an unresolved cited work.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:c784c7ed0e0a5d92e7a91f6e7c4c76382660a99da83349599aafd88c1ce433b2

Observation 1869a502-602d-4e8a-ad7d-3852fb2de672 · outbound

This paper cites an unresolved cited work.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Unresolved cited work

Reference 10

Resolution
parse uncertain
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:75ebaea3b9e267eb2f9f556242abf51c321d90cfa0d708f8a9342d8672e9760b

Observation c6f29345-10b2-4e10-a2e4-bb51e38157ed · outbound

This paper cites Erd˝ os, C.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Erd˝ os, C

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:cb0005e26cca98d5d94434856402657446215d506d31911b3fe522335b8f9eed

Observation 16330481-2f7b-4364-a60a-59be02b4627c · outbound

This paper cites an unresolved cited work.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:d8ad765fb3b5d4a663690ea9a310908fe29e08640666faefe6329c479753a528

Observation e88c05bd-4d98-4417-b947-967f0fce07f8 · outbound

This paper cites Frankl and Z.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Frankl and Z

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:942d3f9791707e0d6804f1e4ee8356ddcc3155bb1f129f0d1a634b0a27366591

Observation 5fa80453-6c94-487f-b5e4-b8755e6da0bc · outbound

This paper cites Frankl and A.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Frankl and A

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:e2506a258ec27e6e7bdd574a85304d5a8e8aa7099a81382cbc6c7940cbb3a2b8

Observation 7da1fcf8-ed22-4c16-8c85-510037fdbf18 · outbound

This paper cites Frankl and A.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Frankl and A

Reference 15

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:7bac1a68cb83fbaf9de1786792c7ac8a062369761a09c39092b8956cdc4f0b78

Observation 2b95a5b3-7a58-46da-8dc4-b986ed17a7f1 · outbound

This paper cites Frankl and A.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Frankl and A

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:2cc098f779ece4f4fcbd5be75e30173472bd61e0165412c4a6059a80d6719cdb

Observation c40066fe-45e2-4ca6-8e64-af5f0af5018c · outbound

This paper cites Frankl and R.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Frankl and R

Reference 17

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:3bcc0a036f03005c2615d240bd4e3896be3a644b0eea2a9ad3cf8733cfb027aa

Observation acd89245-1f85-4847-86ac-5122330dcc30 · outbound

This paper cites F¨ uredi.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products F¨ uredi

Reference 18

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:278273b1c0b748e1e4ffc8d43dd5f8e42e5e6e77ed0e7f31f960c7f81347cd0a

Observation 13dc615b-aa00-40b2-96a3-f6b04e3d8eba · outbound

This paper cites Kahn and G.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Kahn and G

Reference 19

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:85a2123882e5c8234660326bc0f8522885cb51939f14560512382b83b1f629e3

Observation c6502d7a-db67-46de-a4dc-4c1e8171ea9c · outbound

This paper cites Delta-system method: a survey.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Delta-system method: a survey

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-07-03T11:58:06.493284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:cbf76eaf7663b89b7e6eb469063f423ea4b328024f9309f28112b32231975e0a

Observation a14ebaa4-a71a-4d73-890b-ba9c2a08dd0a · outbound

This paper cites Kupavskii and D.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Kupavskii and D

Reference 21

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:884cb1d95e576ffe5efb186ea8e94099ef77447c3cfd3dffd2c719ff794afd20

Observation dace47fc-36bf-4013-aa2f-18c334339fc1 · outbound

This paper cites an unresolved cited work.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:35d442c5831c685a8d19f719a400952f8888b49380d7e1874dc509f578432897

Observation 6499899d-bc2c-444e-ba4c-75e23f1c4e29 · outbound

This paper cites an unresolved cited work.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:551ccc94113ad8fdc050ccad2f4cb9868b3ef3888a1236615bc76319f7e3111a

Observation 9e025dc9-9285-445f-bc9e-42268f739078 · outbound

This paper cites an unresolved cited work.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:f9dac4cfc720941597073e0e16a604916dc1da49d027e8edbd44c55cfba88819

Observation 09f14f51-ce7a-42fb-9877-f9ff97d15e48 · outbound

This paper cites an unresolved cited work.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Unresolved cited work

Reference 25

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:c667a336eb4e80a3217553a7df10fe7c15336dea6648b320b6a4f39111c206d4

Observation 7c0ce11a-fdbd-439d-afe8-58b5347f01a6 · outbound

This paper cites an unresolved cited work.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Unresolved cited work

Reference 26

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:1285809d6a389bd40682a20562678c7f73c032c1e416dc78ae34b36057c00fb5

Observation 8f79d92a-7343-4f0b-9588-33bebec4545a · outbound

This paper cites an unresolved cited work.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Unresolved cited work

Reference 27

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:8b4de4c0727a98317f65e23a18c00d851770a788758ebd67ca54dde76f50cc1d

Observation b4927543-f43b-42ef-859f-3721acaf79df · outbound

This paper cites an unresolved cited work.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Unresolved cited work

Reference 28

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:8fa2e95940bc93b05d150b0402a022b37d0a5e7f3d9b93dd6d14ee8daeec8de4

Observation ee4b733e-bc43-406e-812d-25f2a24be440 · outbound

This paper cites an unresolved cited work.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Unresolved cited work

Reference 29

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:51d38274aee61d9cdad67e59876cb81f683dcb25326d39722426038b5767ee22

Observation 393aa614-f298-41eb-97b8-72cc219014ef · outbound

This paper cites an unresolved cited work.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Unresolved cited work

Reference 30

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:ac50fcd92a139b22df949c75b185b69b130d260090bc27e520fe83734de3d8be

Observation 4683ed11-3531-4717-b074-122b00fa48fa · outbound

This paper cites an unresolved cited work.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Unresolved cited work

Reference 31

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:6052708a17e3237d4989d3801693e613344de739e08a29b4a77218bded37a230

Observation c829b3c3-b960-4d85-bc23-f106872e0882 · outbound

This paper cites an unresolved cited work.

On the maximum number of vectors in $\{0,\pm1\}^n$ with forbidden inner products Unresolved cited work

Reference 32

Resolution
unresolved
no resolver link, observed 2026-06-27T09:12:36.429048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T09:12:36.429048Z digest=sha256:0583037083f94a0153fd9f1f3459b2d6f19cab06fb31c5484512e2eede2011ab

Pith citing papers

No inbound Pith citation observations are available.