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Paper Citation Record · LEDGER

On the clique number of random Cayley graphs and related topics

As of 12 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 2 inbound Pith citation observations for arXiv:2412.21194.

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

pith.paper-citation-record.v1
2412.21194 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:17:42.933944Z

measured 37 of 37 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:29:12.996737Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T11:39:46.803326Z

Reference resolution

35 of 35 outbound references displayed

  • verified exact2
  • verified fuzzy27
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 723788c4-85bb-4634-b1c9-ceacdf8f4a9f · outbound

This paper cites an unresolved cited work.

On the clique number of random Cayley graphs and related topics Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:17:43.440377Z

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=2026-08-10T23:17:42.783829Z digest=sha256:07779b93d5452da562fcb21358c2fd0cf5a10f3f348be83e62ff744251efd132

Observation d0a8acb8-f3eb-44b4-848c-125870bc01f3 · outbound

This paper cites Alon, Research problems, Discrete Math.

On the clique number of random Cayley graphs and related topics Alon, Research problems, Discrete Math

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.427967Z

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=2026-08-10T23:17:42.789040Z digest=sha256:d588ca679ce3faaf700b1b5e12a5659d8c4c344d2805c4a38240c19b9bb0f990

Observation 47f1358c-d827-45e0-81c0-f0636c4d9aef · outbound

This paper cites Alon, Graph powers, in Contemporary combinatorics, 1 1–28, Bolyai Soc.

On the clique number of random Cayley graphs and related topics Alon, Graph powers, in Contemporary combinatorics, 1 1–28, Bolyai Soc

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.415858Z

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=2026-08-10T23:17:42.793581Z digest=sha256:c14b738b483149aa9e0b597b988b117fa0121fbb7a94fb7b5a9137e34be6a1b0

Observation f018eae7-87a4-4307-bff0-c47369ac6aff · outbound

This paper cites Alon, Ramsey properties of Cayley graphs, Open proble m garden, available at http://www.openproblemgarden.org/op/ramsey_properties_of_cayley_graphs.

On the clique number of random Cayley graphs and related topics Alon, Ramsey properties of Cayley graphs, Open proble m garden, available at http://www.openproblemgarden.org/op/ramsey_properties_of_cayley_graphs

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.402737Z

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=2026-08-10T23:17:42.798175Z digest=sha256:6b92138cb6e2f59579dd2b1064480b5da5dbfec9061198607e22ab5de387fff7

Observation 7ecf45fb-876a-49db-9429-b869353f59b4 · outbound

This paper cites Alon, The chromatic number of random Cayley graphs, European J.

On the clique number of random Cayley graphs and related topics Alon, The chromatic number of random Cayley graphs, European J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.389109Z

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=2026-08-10T23:17:42.803382Z digest=sha256:c7ac6935e01180c0a2ed19370f04ab11585aef90f7eeff3a33a0f26d64866029

Observation 93863461-0e16-4a0a-9c34-09c1d5ee9320 · outbound

This paper cites Essentially tight bounds for rainbow cycles in proper edge-colourings.

On the clique number of random Cayley graphs and related topics Essentially tight bounds for rainbow cycles in proper edge-colourings

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:17:43.009428Z

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=2026-08-10T23:17:42.808289Z digest=sha256:8dbe15c2306e96a7595062de8688b1d360bf68c4d68367da8c393f3e57800c82

Observation 60d0312c-aab6-4080-8a31-b23c2ad166bd · outbound

This paper cites Alon and A.

On the clique number of random Cayley graphs and related topics Alon and A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.375077Z

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=2026-08-10T23:17:42.813143Z digest=sha256:3f7eda3e957cfd74d18b10a9615bc00e17415299da1ec902e8ba678d4084f4af

Observation eced4a34-bc1a-492b-b2c6-1817f2c4e43f · outbound

This paper cites Bollobás and P.

On the clique number of random Cayley graphs and related topics Bollobás and P

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.361653Z

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=2026-08-10T23:17:42.818094Z digest=sha256:45b60ed25bf434bbf67619d6b815980a12c726ca679041168a002b0b2a426f38

Observation d5b2ff41-9651-41d1-ab8e-0ee222b9677c · outbound

This paper cites Campos, On the number of sets with a given doubling cons tant, Israel J.

On the clique number of random Cayley graphs and related topics Campos, On the number of sets with a given doubling cons tant, Israel J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.348628Z

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=2026-08-10T23:17:42.822923Z digest=sha256:2270cf17d9353d523c0cdbf5be08ba7ef741adb3daeda50c50e856bb3b1bbf44

Observation 7217e58f-5d76-41a2-b5e8-22bdcd202e9a · outbound

This paper cites Campos, M.

On the clique number of random Cayley graphs and related topics Campos, M

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.334282Z

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=2026-08-10T23:17:42.827242Z digest=sha256:f475721c937c39c5050f39327dd7158509fcb618039bfcf1206cac76115ce900

Observation 43de7ebf-7355-41cf-8c5b-b8012a7746a6 · outbound

This paper cites Campos, M.

On the clique number of random Cayley graphs and related topics Campos, M

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.321098Z

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=2026-08-10T23:17:42.831477Z digest=sha256:7daa646bcd9df023f9b940c8420c42a5ab627f6822d6f7677005c5fa7c90d76c

Observation 9bfb10e3-ea6b-48ca-8ec9-90e06421ecde · outbound

This paper cites An exponential improvement for diagonal Ramsey.

On the clique number of random Cayley graphs and related topics An exponential improvement for diagonal Ramsey

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-10T23:17:42.836018Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:17:42.836018Z digest=sha256:0c44940c6ade203dcd5a5ffd80eb8c6afad420f5c186af6e4e3479450fa23422

Observation c59186ac-cfc6-46f5-9de7-ae93e3b8af7f · outbound

This paper cites Chattopadhyay and J.-J.

On the clique number of random Cayley graphs and related topics Chattopadhyay and J.-J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.307450Z

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=2026-08-10T23:17:42.841074Z digest=sha256:77401e80db77bbdb613a0d4dee916b3235fe8691c709c4f253118cac05788468

Observation a6741441-4b78-4b13-b289-9d0abd86e21e · outbound

This paper cites Christofides and K.

On the clique number of random Cayley graphs and related topics Christofides and K

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.294922Z

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=2026-08-10T23:17:42.844786Z digest=sha256:c96b802c2e9fa1f82e1f78654b12781177eb477409d7a2e41216e8bd14cd7b34

Observation b3a44a53-ef7e-43d8-9f27-813b1cc60f36 · outbound

This paper cites Conlon, J.

On the clique number of random Cayley graphs and related topics Conlon, J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.282432Z

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=2026-08-10T23:17:42.848886Z digest=sha256:f05ee58c0014eb105876fd4a8286aa585610654bc631adc21cccf965399a3784

Observation 6e3e04e6-2b02-4395-885a-b12fa391b898 · outbound

This paper cites Erdős, Some remarks on the theory of graphs, Bull.

On the clique number of random Cayley graphs and related topics Erdős, Some remarks on the theory of graphs, Bull

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.268322Z

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=2026-08-10T23:17:42.852678Z digest=sha256:48cb6c12e099b4e068b479c14a42fda2bc09efcbf1bbd5aa7de533b04fe2c6ee

Observation 4533e259-1cab-4409-8ce2-170791a7b26e · outbound

This paper cites Erdős, A.

On the clique number of random Cayley graphs and related topics Erdős, A

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.253822Z

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=2026-08-10T23:17:42.856262Z digest=sha256:7e9d8cdf0300a304c383c0dfb9cd75506c0c753b34f02d7ec47852e1b98cb826

Observation 24e59439-1309-4146-9c36-b86e60f6024b · outbound

This paper cites Erdős and G.

On the clique number of random Cayley graphs and related topics Erdős and G

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.240460Z

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=2026-08-10T23:17:42.859853Z digest=sha256:edf3143393c9ce0c69fdfb813ef1c5b8d3ba15bd34ff94f0c65efd6bc91ef039

Observation f2b7a8b1-934e-49ca-b78e-f96e939d6ecb · outbound

This paper cites Erdős and A.

On the clique number of random Cayley graphs and related topics Erdős and A

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.228583Z

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=2026-08-10T23:17:42.864087Z digest=sha256:2800ec67931081ad93967f1f70ef18103e85a1dfadc9f89d7e464551612a10a3

Observation 8b7de6bd-7a1a-458a-aaf9-87145e2d2552 · outbound

This paper cites Even-Zohar, On sums of generating sets in Zn 2 , Combin.

On the clique number of random Cayley graphs and related topics Even-Zohar, On sums of generating sets in Zn 2 , Combin

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.215203Z

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=2026-08-10T23:17:42.868398Z digest=sha256:d16c6a11c70576f44d0c7e2f53e017a5987f8af55f409fb93a51a17dba7290ee

Observation f539983d-8495-42cf-9fa8-3c33534dcd0a · outbound

This paper cites Even-Zohar and S.

On the clique number of random Cayley graphs and related topics Even-Zohar and S

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.201713Z

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=2026-08-10T23:17:42.872779Z digest=sha256:ff77ca9fbc736e2bd2392798d799e173eca5fbd44b362edbf6ad21b8c561c87a

Observation cdd4c165-1170-42f7-9ba9-ae074ec68d1d · outbound

This paper cites Fox and H.

On the clique number of random Cayley graphs and related topics Fox and H

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.188396Z

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=2026-08-10T23:17:42.877868Z digest=sha256:394a98b1f2a2ef7385876365f7e2b320b1ac66ec88cef55d39e218158bf79da7

Observation 0b57d8d3-4687-42ee-b0ef-e43551248b6c · outbound

This paper cites Green, Counting sets with small sumset, and the cliqu e number of random Cayley graphs, Combi- natorica 25 (2005), 307–326.

On the clique number of random Cayley graphs and related topics Green, Counting sets with small sumset, and the cliqu e number of random Cayley graphs, Combi- natorica 25 (2005), 307–326

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.175676Z

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=2026-08-10T23:17:42.882137Z digest=sha256:676e992b9e440bc56c96929d92ecf5cf4ed501d072e165f83d1079b4b4cc62ad

Observation 0d0beae6-afdd-4505-a834-5a6805df2cc0 · outbound

This paper cites Green and R.

On the clique number of random Cayley graphs and related topics Green and R

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.162038Z

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=2026-08-10T23:17:42.886232Z digest=sha256:5a220dbd519ff01ae91d61f7986a669554ed652ccd4943ae5eed0c94b764348d

Observation 1d040c2d-eb9f-4425-9c4f-522d644174e1 · outbound

This paper cites an unresolved cited work.

On the clique number of random Cayley graphs and related topics Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:17:43.148936Z

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=2026-08-10T23:17:42.890889Z digest=sha256:0a3f4dba5cc512d8b75054c66bd1562400236d6804e752c96e017fac2789e2af

Observation d2ee5331-721a-4c9c-8005-120cc598c8e6 · outbound

This paper cites On the number of sets with small sumset.

On the clique number of random Cayley graphs and related topics On the number of sets with small sumset

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:17:42.974667Z

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=2026-08-10T23:17:42.895956Z digest=sha256:30bf2444d070f8aef5c2130dd21b1aec5fdf48faa21d49e12cf0553151bf91e1

Observation c6d28a61-ecf0-4d4c-8974-613207939106 · outbound

This paper cites an unresolved cited work.

On the clique number of random Cayley graphs and related topics Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:17:43.134588Z

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=2026-08-10T23:17:42.901564Z digest=sha256:34fae2d4ebeb1cfca887699c15e5047f52aa8d53a7ff116e1586f042ec4fb7ae

Observation 24427e2b-73bc-4503-9614-a49a04af1d92 · outbound

This paper cites McDiarmid and A.

On the clique number of random Cayley graphs and related topics McDiarmid and A

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.121883Z

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=2026-08-10T23:17:42.905875Z digest=sha256:d856259f9091566bb00e6fd73ca4138eba73fac5a25d70591e62035f44ca92ff

Observation 78329ebb-12f1-4f7c-9cbf-9d3dd09c3e0d · outbound

This paper cites Mrazović, One-point concentration of the clique and chromatic numbers of the random Cayley graph on Fn 2 , SIAM J.

On the clique number of random Cayley graphs and related topics Mrazović, One-point concentration of the clique and chromatic numbers of the random Cayley graph on Fn 2 , SIAM J

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.109803Z

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=2026-08-10T23:17:42.910499Z digest=sha256:b69907e3a6054d6967c21d754eef07ca5fb627a03142c020d260cd86630cb3f4

Observation dcc64536-06a1-49fe-9ead-2a8f496f90d5 · outbound

This paper cites Otter, The number of trees, Ann.

On the clique number of random Cayley graphs and related topics Otter, The number of trees, Ann

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.096163Z

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=2026-08-10T23:17:42.914510Z digest=sha256:967f1beadef3053533c3550007943e7e492f0bbca25224f3b261efea7ebb0426

Observation f8cb9ba4-32e3-4354-93b1-0eab1a399636 · outbound

This paper cites an unresolved cited work.

On the clique number of random Cayley graphs and related topics Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:17:43.081791Z

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=2026-08-10T23:17:42.918139Z digest=sha256:399f2d4642fff1e32144ec38f5c4780dc8436252e2c473e57b8af7a89ab1b9e0

Observation 1b76fa36-28ef-4bbe-87ea-af0a550affc2 · outbound

This paper cites Sanders, On a theorem of Shkredov, Online J.

On the clique number of random Cayley graphs and related topics Sanders, On a theorem of Shkredov, Online J

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.066757Z

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=2026-08-10T23:17:42.922033Z digest=sha256:96d23294890e3aca4d8708496776c15e5ed7f4bfe6c9502e833a6503f238d20e

Observation 54a75f67-9c97-49d9-b775-caef3bd93423 · outbound

This paper cites Sanders, Bootstrapping partition regularity of lin ear systems, Proc.

On the clique number of random Cayley graphs and related topics Sanders, Bootstrapping partition regularity of lin ear systems, Proc

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.052111Z

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=2026-08-10T23:17:42.925903Z digest=sha256:f306422de9e17151badaf251b429b3fb318d6e1cff47b7183dfd6edc22ae2913

Observation aef0ef85-ef37-4a35-83d2-4ff985da3dd5 · outbound

This paper cites Schoen and I.

On the clique number of random Cayley graphs and related topics Schoen and I

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:17:43.038084Z

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=2026-08-10T23:17:42.929942Z digest=sha256:278c5f205335bd20e4c77b5d9d29794c53bfb6ed04eba807507a875f2976644e

Observation 8cdd4e1c-17b0-425d-acb3-277a549527dc · outbound

This paper cites an unresolved cited work.

On the clique number of random Cayley graphs and related topics Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:17:43.024245Z

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=2026-08-10T23:17:42.933944Z digest=sha256:3736520c9ca41eeac1278068103b8f02cc7bf603ebef2710e2ecb978d3efc63f

Pith citing papers

Observation c1bd0312-eedf-41a5-a309-5ab997182fab · inbound

The VC-dimension of random subsets of finite groups cites this paper.

The VC-dimension of random subsets of finite groups On the clique number of random Cayley graphs and related topics

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T00:29:12.996737Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:29:12.996737Z digest=sha256:4f0e7e5ead8487fd156945db2a11b33aaa561f33daffe08689ccf5e8cdfc5547

Observation 196713fe-ddbc-4de3-93ed-cc3d850896c6 · inbound

Coloring sparse random Cayley graphs cites this paper.

Coloring sparse random Cayley graphs On the clique number of random Cayley graphs and related topics

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-07-04T11:39:46.804885Z

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=2026-06-26T07:50:43.153960Z digest=sha256:f118fb4d217aa85827413e5d5f93317097a0fff2e1a2bc51992dcd8239c7a6aa