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Paper Citation Record · LEDGER

Interpolating chromatic and homomorphism thresholds

As of 13 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 3 inbound Pith citation observations for arXiv:2502.09576.

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

pith.paper-citation-record.v1
2502.09576 v1

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T21:09:38.783343Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T20:52:16.667206Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-12T06:56:27.151039Z

Reference resolution

49 of 49 outbound references displayed

  • verified exact6
  • verified fuzzy24
  • unresolved19
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3512d73a-0fd4-4a6a-867a-53b18404e181 · outbound

This paper cites Allen, J.

Interpolating chromatic and homomorphism thresholds Allen, J

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation fef39eea-4251-42ff-80f1-b0a66d39e105 · outbound

This paper cites an unresolved cited work.

Interpolating chromatic and homomorphism thresholds Unresolved cited work

Reference 2

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 854f04cf-59e6-47d4-a1c9-dfed5525310f · outbound

This paper cites Andr´ asfai, P.

Interpolating chromatic and homomorphism thresholds Andr´ asfai, P

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 776cd1d2-5cbd-4c47-b8f3-527b3cd06fe2 · outbound

This paper cites Balister, B.

Interpolating chromatic and homomorphism thresholds Balister, B

Reference 4

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation fa6ae429-8593-4280-8360-1a61621fc41e · outbound

This paper cites Balogh, A.

Interpolating chromatic and homomorphism thresholds Balogh, A

Reference 5

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 904b66f4-c64d-4b4e-9b42-328df7133d6b · outbound

This paper cites Beke and O.

Interpolating chromatic and homomorphism thresholds Beke and O

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 97ac80d7-3f30-4114-9bfc-a47b24f1f5e5 · outbound

This paper cites Bollob´ as.

Interpolating chromatic and homomorphism thresholds Bollob´ as

Reference 7

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 99d3c739-15e5-4f0a-a861-ec3d3e17c817 · outbound

This paper cites Graphs with large minimum degree and no small odd cycles are $3$-colourable.

Interpolating chromatic and homomorphism thresholds Graphs with large minimum degree and no small odd cycles are $3$-colourable

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-07T21:09:38.579885Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T21:09:38.579885Z digest=sha256:4efed20b89accffa75fc7d862a36343e324138e8ff0c9598b9a198c9eda04105

Observation 56d0b113-e913-4310-b3c9-31010fa72210 · outbound

This paper cites Clique density vs blowups.

Interpolating chromatic and homomorphism thresholds Clique density vs blowups

Reference 9

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 4a96c2f2-0779-41df-b987-f2125e1018af · outbound

This paper cites Brandt, R.

Interpolating chromatic and homomorphism thresholds Brandt, R

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation ea1c76af-7472-46c3-8ecd-cd2fb9c37e4c · outbound

This paper cites Brandt and S.

Interpolating chromatic and homomorphism thresholds Brandt and S

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 72b42b0f-71dc-42f3-b0c8-a838f22fe670 · outbound

This paper cites Uniform set systems with small VC-dimension.

Interpolating chromatic and homomorphism thresholds Uniform set systems with small VC-dimension

Reference 12

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation a669e5b6-f41f-4b0c-a9d9-2e26f079cf40 · outbound

This paper cites Generalized Andr\'{a}sfai--Erd\H{o}s--S\'{o}s theorems for odd cycles.

Interpolating chromatic and homomorphism thresholds Generalized Andr\'{a}sfai--Erd\H{o}s--S\'{o}s theorems for odd cycles

Reference 13

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unresolved
no resolver link, observed 2026-08-07T21:09:38.605414Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T21:09:38.605414Z digest=sha256:ee37f917595d5f483e48951869914491642c44f3d80e676d5f1a394ce70a21cf

Observation f52416ec-647b-4f67-9c25-17f1a4610ce6 · outbound

This paper cites Ebsen and M.

Interpolating chromatic and homomorphism thresholds Ebsen and M

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 98af21ea-188b-4858-9782-4de11c981ca0 · outbound

This paper cites an unresolved cited work.

Interpolating chromatic and homomorphism thresholds Unresolved cited work

Reference 15

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation d0b52fee-3959-4f43-af97-3fccb3e4dfd2 · outbound

This paper cites an unresolved cited work.

Interpolating chromatic and homomorphism thresholds Unresolved cited work

Reference 16

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation daebfbc5-7d01-4fb8-95b4-57fea1974181 · outbound

This paper cites Erd˝ os and L.

Interpolating chromatic and homomorphism thresholds Erd˝ os and L

Reference 17

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 69e6d0b9-cc6f-42e0-9aba-e6760e479f10 · outbound

This paper cites Erd˝ os and M.

Interpolating chromatic and homomorphism thresholds Erd˝ os and M

Reference 18

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 3976baf3-c3e3-4b37-b042-760574419d6a · outbound

This paper cites Erd˝ os and M.

Interpolating chromatic and homomorphism thresholds Erd˝ os and M

Reference 19

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 45935334-344d-4bd0-a3c9-1e4ee8881a82 · outbound

This paper cites Erd˝ os and A.

Interpolating chromatic and homomorphism thresholds Erd˝ os and A

Reference 20

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 287679ba-16c2-467d-a33c-97978f893944 · outbound

This paper cites Erd˝ os and G.

Interpolating chromatic and homomorphism thresholds Erd˝ os and G

Reference 21

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 44758704-345b-46a8-9932-777bb511ff0d · outbound

This paper cites an unresolved cited work.

Interpolating chromatic and homomorphism thresholds Unresolved cited work

Reference 22

Resolution
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raw_fallback, observed 2026-08-07T21:09:39.658884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation ec04b50b-4492-41dc-b021-08ee44a474a4 · outbound

This paper cites an unresolved cited work.

Interpolating chromatic and homomorphism thresholds Unresolved cited work

Reference 23

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation e774780f-b251-4d57-96f9-c5a91a38a404 · outbound

This paper cites an unresolved cited work.

Interpolating chromatic and homomorphism thresholds Unresolved cited work

Reference 24

Resolution
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raw_fallback, observed 2026-08-07T21:09:39.629932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 4bb8c823-557d-4e30-b1d5-22d090029e25 · outbound

This paper cites an unresolved cited work.

Interpolating chromatic and homomorphism thresholds Unresolved cited work

Reference 25

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T21:09:38.662195Z digest=sha256:39f7fc2b2a4058130e3abebfa076da19a9e4dbf14f1e78c21cb086538fa5cd1e

Observation e819d2a9-5b3b-41d5-85d5-ffc0f4efe3f8 · outbound

This paper cites The Frankl-Pach upper bound is not tight for any uniformity.

Interpolating chromatic and homomorphism thresholds The Frankl-Pach upper bound is not tight for any uniformity

Reference 26

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no resolver link, observed 2026-08-07T21:09:38.666897Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation ad90797b-be23-4576-861e-401b0451348b · outbound

This paper cites Goddard and J.

Interpolating chromatic and homomorphism thresholds Goddard and J

Reference 27

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation b81d867e-cd4f-430b-9825-c271c457a168 · outbound

This paper cites H¨ aggkvist.

Interpolating chromatic and homomorphism thresholds H¨ aggkvist

Reference 28

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 3f58c16e-5f82-4c23-a97d-f378c7590a72 · outbound

This paper cites Haussler.

Interpolating chromatic and homomorphism thresholds Haussler

Reference 29

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 4e7e3530-0b82-4d04-9beb-83464c5911ff · outbound

This paper cites an unresolved cited work.

Interpolating chromatic and homomorphism thresholds Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-07T21:09:39.549842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 82f0aa4f-4e46-463b-8b5b-0c0e27a8aaa3 · outbound

This paper cites Letzter and R.

Interpolating chromatic and homomorphism thresholds Letzter and R

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:09:39.531950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation b20ee163-6bf3-4eb8-a092-8e85a7b586a4 · outbound

This paper cites A strengthening on consecutive odd cycles in graphs of given minimum degree.

Interpolating chromatic and homomorphism thresholds A strengthening on consecutive odd cycles in graphs of given minimum degree

Reference 32

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 7ddfe724-fbbe-4a29-a29b-66589ae78488 · outbound

This paper cites Beyond chromatic threshold via the $(p,q)$-theorem, and a sharp blow-up phenomenon.

Interpolating chromatic and homomorphism thresholds Beyond chromatic threshold via the $(p,q)$-theorem, and a sharp blow-up phenomenon

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-07T21:09:38.702125Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 74728b6f-cfbe-46ef-9bb8-63dd9f398578 · outbound

This paper cites an unresolved cited work.

Interpolating chromatic and homomorphism thresholds Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-07T21:09:39.514980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 05f853a0-8ca8-4d19-9a5f-946e07be963b · outbound

This paper cites /suppress Luczak.

Interpolating chromatic and homomorphism thresholds /suppress Luczak

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:09:39.497283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation d442543e-6813-4b8c-8b05-af505a019f1b · outbound

This paper cites Coloring dense graphs via VC-dimension.

Interpolating chromatic and homomorphism thresholds Coloring dense graphs via VC-dimension

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-07T21:09:38.715931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T21:09:38.715931Z digest=sha256:fbd7e9569daee6088cfdafba68082ea9074866ec3216e3ad8b089cc0c2649a78

Observation 10585ee3-dbef-435c-a099-7b0649c38317 · outbound

This paper cites Mubayi and Y.

Interpolating chromatic and homomorphism thresholds Mubayi and Y

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-07T21:09:38.720595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T21:09:38.720595Z digest=sha256:17194ab35ab79aa04e6cc97fa30c02c235e11609a6906bf8f0ed2012bf046fb5

Observation 69fd6973-5537-4aad-a638-bbc6cc24375c · outbound

This paper cites Induced subgraph density. VI. Bounded VC-dimension.

Interpolating chromatic and homomorphism thresholds Induced subgraph density. VI. Bounded VC-dimension

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-07T21:09:38.724780Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 0adbdfc3-4e08-42f1-bb31-c02b5da28e8a · outbound

This paper cites Chromatic number and mimimum degree of K_r-free graphs.

Interpolating chromatic and homomorphism thresholds Chromatic number and mimimum degree of K_r-free graphs

Reference 39

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source=pdf_text observed=2026-08-07T21:09:38.730121Z digest=sha256:4562361f4fa9d5a1f5e5c5d112af7d42f104eda0cad21916b57f73276abef707

Observation dcb3324c-4035-4458-b312-10275a8f3e69 · outbound

This paper cites Nikiforov and R.

Interpolating chromatic and homomorphism thresholds Nikiforov and R

Reference 40

Resolution
verified fuzzy
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Observation e755d72f-4f06-4645-bf6b-8d74775a0654 · outbound

This paper cites Oberkampf and M.

Interpolating chromatic and homomorphism thresholds Oberkampf and M

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:09:39.452669Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T21:09:38.741466Z digest=sha256:c923a498ca95312b99db92e3c8f62fed833fdc8a889b1a8bb0394ddcab9e54d9

Observation f09822a9-b082-4245-af02-0a1656a6566e · outbound

This paper cites Homotopy and the Homomorphism Threshold of Odd Cycles.

Interpolating chromatic and homomorphism thresholds Homotopy and the Homomorphism Threshold of Odd Cycles

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-08-07T21:09:39.018210Z

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source=pdf_text observed=2026-08-07T21:09:38.747297Z digest=sha256:a9d896360da42e04c4cc5e539bac18e4469ff46b981b40bdfffe2604488dae33

Observation 913d6684-ae74-46ab-9d22-0baa1a4eeab1 · outbound

This paper cites an unresolved cited work.

Interpolating chromatic and homomorphism thresholds Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-07T21:09:39.434878Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T21:09:38.752542Z digest=sha256:1ff41a0a84dde2956e13973d82a5c337464fc30b6079fe9174ce62355dc514d2

Observation 95555a26-e405-4e1c-a453-068a2aa7d1e8 · outbound

This paper cites On short edges in complete topological graphs.

Interpolating chromatic and homomorphism thresholds On short edges in complete topological graphs

Reference 44

Resolution
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local_arxiv, observed 2026-08-07T21:09:38.993598Z

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source=pdf_text observed=2026-08-07T21:09:38.757650Z digest=sha256:bb7366963b33765954784de32e385e7bd5b0a6eaac7ee8df00c9f967d745416c

Observation 17021300-f144-4401-9624-b1af9f1bcfc0 · outbound

This paper cites Szemer´ edi.

Interpolating chromatic and homomorphism thresholds Szemer´ edi

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:09:39.416610Z

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source=pdf_text observed=2026-08-07T21:09:38.762936Z digest=sha256:8673c3af61e46d6934ef19e4e0bc0b7dfa1e20c78eef06604bf2e148c6248f7e

Observation 87132da4-6c6b-4637-bf5f-67f070c2ae42 · outbound

This paper cites Thomassen.

Interpolating chromatic and homomorphism thresholds Thomassen

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:09:39.399227Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T21:09:38.767837Z digest=sha256:81c9b6a73d2ae5f8dabe8bf66066ad76ae042ed2eb78f6b287c4f6ead2f88d64

Observation e2cbbd69-0553-427a-8d1c-1cae3daec772 · outbound

This paper cites Thomassen.

Interpolating chromatic and homomorphism thresholds Thomassen

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:09:39.382790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T21:09:38.773316Z digest=sha256:bb09a64b63a9253b4eb1130015a0f507a4352c2b4d05c8cc6b372b3780ed38ce

Observation ea2fe59d-781c-4ec7-9944-02c24376d141 · outbound

This paper cites Chromatic profiles of odd cycles.

Interpolating chromatic and homomorphism thresholds Chromatic profiles of odd cycles

Reference 48

Resolution
verified exact
local_arxiv, observed 2026-08-07T21:09:38.941587Z

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source=pdf_text observed=2026-08-07T21:09:38.778168Z digest=sha256:6d43eeaa2f6734b3e698b04feab9ee7505eb1b4a2283338c9dbb555dceb174e7

Observation 87315c32-5de7-4050-b3bf-50597f1396ba · outbound

This paper cites Yuan and Y.

Interpolating chromatic and homomorphism thresholds Yuan and Y

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T21:09:39.365241Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T21:09:38.783343Z digest=sha256:f4f9fa811dc879e56725aea0f00f4a785ad4e0a16f7c0989b86a75a9a965a7aa

Pith citing papers

Observation 0cf93b7d-d7be-4030-9e56-3332aa1c9fec · inbound

Regularity for hypergraphs with bounded VC$_2$ dimension cites this paper.

Regularity for hypergraphs with bounded VC$_2$ dimension Interpolating chromatic and homomorphism thresholds

Reference 2025

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source=pdf_text observed=2026-08-05T20:52:16.667206Z digest=sha256:7d43888ca0e85fb10a5f57742ec30709773b4c2b2a5ab532d7cbbd4e59a78d98

Observation e4b4352a-47f8-4e61-9e86-0b8099cb2503 · inbound

Chromatic thresholds for pairs of graphs cites this paper.

Chromatic thresholds for pairs of graphs Interpolating chromatic and homomorphism thresholds

Reference 6

Resolution
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source=pdf_text observed=2026-05-12T03:50:03.583219Z digest=sha256:af6575d86926d4dd61aae0188eb9f77bbd311667bcd9a6af2c3c48d06b69e12c

Observation 64b22b5a-74e2-4fdf-b379-acec20201f81 · inbound

On the spectrum and structure of blowup thresholds cites this paper.

On the spectrum and structure of blowup thresholds Interpolating chromatic and homomorphism thresholds

Reference 10

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source=pdf_text observed=2026-07-12T05:18:33.012923Z digest=sha256:7a2a36a066bc2003d9dbd4247f92f53b32da1d8844ff728a088993c90ae62173