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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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.783829Z digest=sha256:7976675f56e7240569e2e9275d1d19a5fb91282f13b6579f98f98ce67d4831eb

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.789040Z digest=sha256:1773b585fb1fe6acd9781e60ab33465ece7a7eefab858d5628ac3bd71bc1e44b

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.793581Z digest=sha256:a9f6f95ef6a7f5ced3c73f64513b5c7fc01be8fc853aafd9ec3660cded1dd2cc

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.798175Z digest=sha256:b4f87a67734f2e79b37be2779c4df6bd957446075ae3fa166e189dacc25b9560

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.803382Z digest=sha256:26b54e507aeb83901f3e95d491985eb8e8f9ff75b4cc69edef79a443724c3327

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.808289Z digest=sha256:f2ca629b6fd27774760bf05be6816c43395bd01eb09112c0e7714f3d5cb24b40

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.813143Z digest=sha256:2eac5e537847c9cb44fe14b73383b1a737d5c391e823ddbd919e739dcae0e5e7

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.818094Z digest=sha256:9692ae51576a9781bd35d1e6dab07d6baba55cb6ca74b91ef66e706556265cfc

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.822923Z digest=sha256:e3c7d1dc294707bbd9bda8e4e4a428f19b9b5e7432de628ea5fa53c98e009f5d

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.827242Z digest=sha256:78dcee5847209e4681eda9d33678d6a25198894656f537e57cf7d002efbefac9

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.831477Z digest=sha256:ebf43ab0452477b95444fa9202e9a0f5fd1059c27c7f7c42739be094acdb65e2

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.841074Z digest=sha256:9245451dbcc3d6314fd82967eb66fb32efc5109d0df70ebba9aec26a375084d4

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.844786Z digest=sha256:e5b12fe892bfb1987b83742317e383aa8af93349554fbdaee584bdcdd0454050

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.848886Z digest=sha256:23df2fb80e22d887cafc7a35d4003a1afe7f0ff2ec0911651d39f2d5a1d670fd

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.852678Z digest=sha256:4f0a10d02e905b7068c146feb437ecd151b459ad706853705155978c9999c4c9

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.856262Z digest=sha256:82eeffa796c606879775231e84b597f96f381302e6957db9843e67a6bb3c3162

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.859853Z digest=sha256:37fef964bf1e8ea363ebe11d5427d066ac36dd060bae1eb18d8e9d84d9b58e99

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.864087Z digest=sha256:7b4082edad72ff106635ea87c0cde83db2ecd133c3544595466b5f8581acbe3f

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.868398Z digest=sha256:5528105b817d66f66eb473877c7f8da772f6d3aecfd5becdfd22e694680f3eb6

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.872779Z digest=sha256:c93fcd1c1701f95a422d2c86cefe39bc2cbd4c7d55cfbdb3f3bb3690205e9b70

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.877868Z digest=sha256:57244b5bc1e920b47bdf26b8d76b74d78e770edcb9ff0aa34d5cd20932157e4c

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.882137Z digest=sha256:cb06a3557bc68a4052b64ef67f6bb1ce3e46fe1ae5123c847522d1fdfd7f2966

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.886232Z digest=sha256:780d121b94d9cb6d6016db754d3c619119433290c5da766044c32c89f1603f9c

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.890889Z digest=sha256:68329175aa9419f9173e342578efa9e6388e8af3a26f4c79f80f1204750cac66

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.895956Z digest=sha256:43ae561ac8f0c1c4ad619b2688612d6a89e3be3f92eb25591a4ac46a06fd8435

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.901564Z digest=sha256:1f22ccff460ed616ed426ad5bf398e1d73d6c626097d733bf7ea441b9dbdf5a5

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.905875Z digest=sha256:597b464e475398550e7c219157b4f5e7076742d22f255411ec7807b21daf368e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.910499Z digest=sha256:53bed683c9b5f79990d5060227a2a2309f54737da213a8afb111c079f60551e5

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.914510Z digest=sha256:5c6fb83057bb937283ed99daf299b1d03ebe68372bfaca861e610bbe5eac9ed2

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.918139Z digest=sha256:3294ff48b3bf1772df7848ab6ea09b0f88e1057d29c85c390ef253ceb43ffa0c

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.922033Z digest=sha256:be0196488814777f6ee570b9ab3ecac92def9dfeca9561f4ea393bc782e37ac9

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.925903Z digest=sha256:19f879aa0b270322e31c56055dbe6d1ca9d0e80cd26f6c7c0d4e1ad02fe6fade

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.929942Z digest=sha256:21b4f72b7d535b92258ff2af38e70c44b2e61193d6cbc4aa695baab1c9df767b

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:17:42.933944Z digest=sha256:9e9d61208b8e7bb63214abbc9ec72ed9f23cef40ceffaad8b3611f4524a43362

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

Source-reported events for the cited work

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-26T07:50:43.153960Z digest=sha256:b9d4aa686f6f1c826989e3e25eea786e9f5b3a11b3c97d4438f3f6e042405094