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Paper Citation Record · LEDGER

Polynomial-to-exponential transition in 3-uniform Ramsey numbers

As of 12 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2507.09434.

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

pith.paper-citation-record.v1
2507.09434 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:15:18.464028Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

18 of 18 outbound references displayed

  • verified exact1
  • verified fuzzy12
  • unresolved4
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a6848977-30cd-429e-8394-35d0351e3f51 · outbound

This paper cites Alon and J.

Polynomial-to-exponential transition in 3-uniform Ramsey numbers Alon and J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:15:20.469292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:15:17.022447Z digest=sha256:8859c2ce36d4df0fd32ad9cdbde3febbf8dc59b7f76335f3384cb6d500a6e5fc

Observation 1207aaba-1c16-41d2-93bd-e01ae260bd83 · outbound

This paper cites Balogh and H.

Polynomial-to-exponential transition in 3-uniform Ramsey numbers Balogh and H

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:15:20.337073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:15:17.092508Z digest=sha256:eec31729d91a3ece7ab52adac47386774485adb0e943ae6269d4b7938a64bd9f

Observation 4e3da4f5-0d94-41bc-985e-9366f1ae8917 · outbound

This paper cites The Tur\'{a}n density of short tight cycles.

Polynomial-to-exponential transition in 3-uniform Ramsey numbers The Tur\'{a}n density of short tight cycles

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-06T18:15:17.170046Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:15:17.170046Z digest=sha256:e5250bc1f616de81b4b52e1a2799f3f09d2c81a2580a738c95f1b8277a6ff032

Observation f0954444-7cbb-4ae0-b651-e8e60e145c82 · outbound

This paper cites An exponential improvement for diagonal Ramsey.

Polynomial-to-exponential transition in 3-uniform Ramsey numbers An exponential improvement for diagonal Ramsey

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-06T18:15:17.264947Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:15:17.264947Z digest=sha256:1dc498d200c8ef4b3a158cc0985f9f5ee08c72e8afbf12804a6c83a57149d695

Observation df1c0f43-60d5-4e20-8eb5-6fef3614f584 · outbound

This paper cites Conlon, J.

Polynomial-to-exponential transition in 3-uniform Ramsey numbers Conlon, J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:15:20.172270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:15:17.332813Z digest=sha256:b7dcc2fa62c19ce729d5ecf866f52bf08df6cfa8e92081fe5adf857a4e477c18

Observation 5b5f74d6-0815-48c7-874a-025104059a75 · outbound

This paper cites Conlon, J.

Polynomial-to-exponential transition in 3-uniform Ramsey numbers Conlon, J

Reference 6

Resolution
verified exact
raw_fallback, observed 2026-08-06T18:15:18.798446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:15:17.409608Z digest=sha256:cf59b0192106246209e7295d9a5c04bc8ceb5cab9c60792b3046c9bba08c8f83

Observation ef8d4bbb-f3bc-4377-a348-2777431f1089 · outbound

This paper cites Conlon, J.

Polynomial-to-exponential transition in 3-uniform Ramsey numbers Conlon, J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:15:19.959536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:15:17.491674Z digest=sha256:c82bee5980214bea58de402c2c45e292bc756ef7085c40384ee5d96520e3d7eb

Observation 56709dc3-e0e0-4993-85d8-c165f2e801c6 · outbound

This paper cites Conlon, J.

Polynomial-to-exponential transition in 3-uniform Ramsey numbers Conlon, J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:15:19.874656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:15:17.599775Z digest=sha256:ea3b7011af046b747a16cc5783eb1b8dd9d0db58e2d119e0c16cb9e6f1091575

Observation 3b4b5e33-fc24-43a5-8e4a-cc28ecc2b6fb · outbound

This paper cites Chung, Open problems of Paul Erd˝ os in graph theory, J.

Polynomial-to-exponential transition in 3-uniform Ramsey numbers Chung, Open problems of Paul Erd˝ os in graph theory, J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:15:19.748072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:15:17.683914Z digest=sha256:fe976d6bb7ef1f85909334d15afbc8dc78c7e3f9ca1d8767adba11077fbac1fa

Observation 4be6ea05-3345-4c1f-a54c-a9e15f0426df · outbound

This paper cites Erd˝ os, Problems and results on graphs and hypergraphs: similarities and differences, Mathematics of Ramsey Theory , Algorithms Combin., 5, 12–28, Springer, Berlin, 1990.

Polynomial-to-exponential transition in 3-uniform Ramsey numbers Erd˝ os, Problems and results on graphs and hypergraphs: similarities and differences, Mathematics of Ramsey Theory , Algorithms Combin., 5, 12–28, Springer, Berlin, 1990

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:15:19.667251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:15:17.775951Z digest=sha256:4c4988937178af9a8abc17aa175a940a3a042c12448111e617902a214e952a3c

Observation 1f0834ff-0611-456c-8e79-11be355c1e91 · outbound

This paper cites Erd˝ os and A.

Polynomial-to-exponential transition in 3-uniform Ramsey numbers Erd˝ os and A

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:15:19.562398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:15:17.852480Z digest=sha256:bf746217744098760a4603b2b3a46fa519d282a75c17128e120dfde232172cb8

Observation 237ae6e8-6c6d-4d58-b60f-d9988b7108ca · outbound

This paper cites Kamˇ cev, S.

Polynomial-to-exponential transition in 3-uniform Ramsey numbers Kamˇ cev, S

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:15:19.484142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:15:17.939515Z digest=sha256:31b04ed8f96049ae5f99f9212b6696b1875de14e03470444653fa15ee9b8d000

Observation 07089368-487f-46ea-a371-0595f28430f9 · outbound

This paper cites The Hypergraph Tur\'{a}n Densities of Tight Cycles Minus an Edge.

Polynomial-to-exponential transition in 3-uniform Ramsey numbers The Hypergraph Tur\'{a}n Densities of Tight Cycles Minus an Edge

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-06T18:15:18.029481Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:15:18.029481Z digest=sha256:fea4bd468fbe98e8aa08376d1c6ae1138bbc6686595e9ddd7fa592397f418c72

Observation a4d5da80-2018-484e-952d-928576408f0e · outbound

This paper cites Mattheus and J.

Polynomial-to-exponential transition in 3-uniform Ramsey numbers Mattheus and J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:15:19.383855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:15:18.102461Z digest=sha256:4c7dd8ba4f3a30ad2039ebdbda06adff5d31aadc6ab8b1713cf8d993bb6764dc

Observation 99719036-a10c-460a-9d97-c6165a06da54 · outbound

This paper cites Mubayi and A.

Polynomial-to-exponential transition in 3-uniform Ramsey numbers Mubayi and A

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:15:19.286015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:15:18.186467Z digest=sha256:8113bd69f39b80cfc5c3a2c3aa6fa560e4c5e3a5b4db70722f2c9bb66a04fc93

Observation 3fac2f29-cfb0-4faa-8594-4177fadce033 · outbound

This paper cites Mubayi and A.

Polynomial-to-exponential transition in 3-uniform Ramsey numbers Mubayi and A

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:15:19.152427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:15:18.271660Z digest=sha256:dc32867af7c593fb979136cd8cd7ffa789070dd644dd7fe8ff32c989f9a70728

Observation 2d7121f0-af25-4f21-a7da-795c74be5a40 · outbound

This paper cites an unresolved cited work.

Polynomial-to-exponential transition in 3-uniform Ramsey numbers Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:15:19.057199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:15:18.366788Z digest=sha256:a04ad4d086686b0352f18f0d4f52b8cc19eb366cef97efaa9e7abacb36f1ecc1

Observation 60cdf9cf-3626-407e-ac4e-2341d46b8207 · outbound

This paper cites Then for every x ∈ X ∗, bU (x) ≤ $ P 2 − (bXY − |Y ∗|)+ + bU,Y ∗ |Y ∗| %.

Polynomial-to-exponential transition in 3-uniform Ramsey numbers Then for every x ∈ X ∗, bU (x) ≤ $ P 2 − (bXY − |Y ∗|)+ + bU,Y ∗ |Y ∗| %

Reference 18

Resolution
malformed identifier
raw_fallback, observed 2026-08-06T18:15:18.934738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:15:18.464028Z digest=sha256:911c75bbc70294316ee1aa7cc9bb073145a865fbcc161ad4230acf2b6475c56c

Pith citing papers

No inbound Pith citation observations are available.