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Paper Citation Record · LEDGER

On the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation

As of 8 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2506.05581.

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

pith.paper-citation-record.v1
2506.05581 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:29:50.499215Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

19 of 19 outbound references displayed

  • verified exact1
  • verified fuzzy9
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 58ee3dae-b949-4523-af66-a315799eabb2 · outbound

This paper cites an unresolved cited work.

On the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:30:12.910407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:29:48.461251Z digest=sha256:020afd9f250da8e8d778e7fcd9117971c7b49872552d18045e204cf4c206a716

Observation 37a66ce5-cbca-4b62-9bb0-df1acd7339ac · outbound

This paper cites Chekuri, A.

On the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation Chekuri, A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:30:12.891414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:29:48.552487Z digest=sha256:3e39f1c682f5e35e6b2f3905157e162f948906bad44b6448d220d20c4f484bf6

Observation e5efc859-1457-4788-bac6-bc2d5ef1a8dc · outbound

This paper cites an unresolved cited work.

On the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:30:12.871236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:29:48.631525Z digest=sha256:101f9572e0931e29df9d52d35fc81e15c6119619dc0f8a719e800411a1a69b5f

Observation b6441c3e-b029-4df0-a1c6-0e7987dbfda5 · outbound

This paper cites Mirzakhani, J.

On the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation Mirzakhani, J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:30:12.849537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:29:48.712916Z digest=sha256:7500e65ee18aa38171ab216cb49682e74c7cedd958515cf997d75d90f03a148f

Observation 2ae13b16-54b4-4c5a-af03-c0f2a6bee087 · outbound

This paper cites Mirzakhani, J.

On the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation Mirzakhani, J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:30:12.828944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:29:48.804738Z digest=sha256:10db374a0c66eadb973fa45fa3755a1ad5b9b045a8ca14b85f3a99badfc5543e

Observation bea41591-6600-4b58-b415-dd91921a6b27 · outbound

This paper cites an unresolved cited work.

On the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:30:12.807166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:29:48.884574Z digest=sha256:0857cf4501727f160376ac09a72872f7b42b554d59c9683809439fc450de7a20

Observation 155b3f03-ea05-45a4-9bc1-652ebcba2b81 · outbound

This paper cites Edelsbrunner, D.

On the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation Edelsbrunner, D

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:30:12.788308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:29:48.960863Z digest=sha256:16527c0a86cd6f1f40c55e9194046849017a5be8a7835b35dad57a01757a0968

Observation c2dff601-4f0d-44df-87ec-f8a6167baabe · outbound

This paper cites an unresolved cited work.

On the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:30:12.769831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:29:49.067670Z digest=sha256:a31acfe4ce0b39df92f4094f9a26b90a25d0b1afecc4c5700ec9f17e6fe56d34

Observation 41303655-b9e8-4a51-9e6b-1a3eccdb40a3 · outbound

This paper cites Le Van (1982)Topological Degree and the Sperner Lemma, Journal of Optimization Theory and Applications, 37, 3, 371–377.

On the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation Le Van (1982)Topological Degree and the Sperner Lemma, Journal of Optimization Theory and Applications, 37, 3, 371–377

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:30:12.751167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:29:49.148004Z digest=sha256:c4b09c51c7213b508235ece42a270074424138ea7e30249e0ef7b73211e37912

Observation e4a089c8-9b0d-4c2c-b4f0-9de244a4920f · outbound

This paper cites Kumar, K.

On the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation Kumar, K

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:30:12.729431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:29:49.226123Z digest=sha256:7ee50633747bd812d1818edf6607697372de99e5ab30ddddf7901528b539b382

Observation b8eac364-9efe-45c7-8641-3d385c5984d1 · outbound

This paper cites an unresolved cited work.

On the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:30:12.707790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:29:49.317172Z digest=sha256:5621fbe9a4a719f0911331033a6e84a57d8eb8caa35ebf129037287d1c9e656e

Observation d1dfe652-9c8c-40b5-92e1-1bfc4c7748ec · outbound

This paper cites Meunier (2006)Sperner labellings: A combinatorial approach, Journal of Combi- natorial Theory, Series A, 113, 7, 1462–1475.

On the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation Meunier (2006)Sperner labellings: A combinatorial approach, Journal of Combi- natorial Theory, Series A, 113, 7, 1462–1475

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:30:12.688415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:29:49.390548Z digest=sha256:10b20cfd87fc60785b5e2d54b3fc46729495b3afaa85054dc160c81ec2d9b1ab

Observation b85f64bd-e743-4d9b-a40f-0dde3368e5aa · outbound

This paper cites an unresolved cited work.

On the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:30:12.667366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:29:49.526081Z digest=sha256:8fb8ce20712d9b9ed4503db88d911de4b7d628f7f10c1a704d8f85a9206a31c9

Observation f8c2ced5-2531-4aa5-8a21-40c764b12b49 · outbound

This paper cites an unresolved cited work.

On the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:30:12.645631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:29:49.800294Z digest=sha256:599175e1533a4c781d2375ab948b4e17045414c38ab46e83c079c0d0e1015e90

Observation 47e6f861-96ee-4e6e-8fa5-e72629940a8b · outbound

This paper cites an unresolved cited work.

On the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:30:12.625338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:29:49.996763Z digest=sha256:04dd2c10b53a792920c125bcc6bd5f1e5eb2fe83e03863bfa93b014bcb4a8d93

Observation 913879a2-649f-41a8-b1c8-299dc11dabd3 · outbound

This paper cites an unresolved cited work.

On the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:30:12.607665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:29:50.108681Z digest=sha256:79d98d721c61eeb8f6ea0889c81be92bb2d924607e775ea5be5ff24bdb1be67d

Observation dc7292ca-cb02-4824-865b-44ce9853e31f · outbound

This paper cites Asada, F.

On the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation Asada, F

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:30:12.580426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:29:50.241628Z digest=sha256:02ebb9d9daaa5c535a40246e90a09db9612d0a6db5adfd235ddd3d1a04b439d6

Observation 8125f7d9-8f4a-44e8-9a62-a104f94b9e3e · outbound

This paper cites Homotopies and transcendental extensions in colouring problems.

On the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation Homotopies and transcendental extensions in colouring problems

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:30:12.535724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:29:50.369396Z digest=sha256:08607c5f7f4c4153db1c05609a93c2e9ac59155efd1dfe8dc8dd660c3e96a62a

Observation fea12af0-152f-4087-8c49-2de6ca597d03 · outbound

This paper cites Kaiser, M.

On the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation Kaiser, M

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:30:12.558686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Pith citing papers

No inbound Pith citation observations are available.