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Paper Citation Record · LEDGER

Gaussian random graphs and Ramsey numbers

As of 14 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 10 inbound Pith citation observations for arXiv:2512.17718.

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

pith.paper-citation-record.v1
2512.17718 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-21T16:52:16.030979Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T04:42:47.273732Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-04T16:59:57.773731Z

Reference resolution

23 of 23 outbound references displayed

  • verified exact6
  • verified fuzzy16
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 90445792-1704-4d04-a520-bef4ec945dd9 · outbound

This paper cites Balister, B.

Gaussian random graphs and Ramsey numbers Balister, B

Reference 1

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arxiv_id, observed 2026-05-21T16:54:16.337079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-21T16:52:16.030979Z digest=sha256:9051e8d49ca440b6623abd44ad664480f21a6b79b7f7b895bb2fb2dfd6b30599

Observation 600669b4-79af-4000-9773-cbaf2ad40a93 · outbound

This paper cites Optimal sub-Gaussian variance proxy for truncated Gaussian and exponential random variables.

Gaussian random graphs and Ramsey numbers Optimal sub-Gaussian variance proxy for truncated Gaussian and exponential random variables

Reference 2

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arxiv_id, observed 2026-05-21T16:54:16.346428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-21T16:52:16.030979Z digest=sha256:a1c67bfab01b286e9943696eab481b1251bcc034b05e72401cd1f64a711e6556

Observation 7764e749-e944-492a-8861-7a6326dde094 · outbound

This paper cites Bubeck, J.

Gaussian random graphs and Ramsey numbers Bubeck, J

Reference 3

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raw_fallback, observed 2026-05-21T16:54:17.142652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-21T16:52:16.030979Z digest=sha256:e5abae2d3ba54f55ea80260eca1b9ef83566b1f5b9dbe3faa48b8514ab4d8019

Observation afa62019-c8eb-4e57-bcca-1b5b512433b6 · outbound

This paper cites Campos, S.

Gaussian random graphs and Ramsey numbers Campos, S

Reference 4

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raw_fallback, observed 2026-05-21T16:54:17.140043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-21T16:52:16.030979Z digest=sha256:2dccc891eb22a60b5433bcafbbb23640af119aa7ed09518ac02da4366e2c394a

Observation b676d499-00e4-4f84-8f0a-dc109f91517e · outbound

This paper cites A new lower bound for the Ramsey numbers $R(3,k)$.

Gaussian random graphs and Ramsey numbers A new lower bound for the Ramsey numbers $R(3,k)$

Reference 5

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verified exact
arxiv_id, observed 2026-05-21T16:54:16.327013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-21T16:52:16.030979Z digest=sha256:63ec96d052484bbd6c8095edf1ab812f2eccde8c8c82b34b697ce6328852dad1

Observation 6e7c94ef-43aa-4bc3-a3fb-9eb421caa3af · outbound

This paper cites Conlon.A new upper bound for diagonal Ramsey numbers.Ann.

Gaussian random graphs and Ramsey numbers Conlon.A new upper bound for diagonal Ramsey numbers.Ann

Reference 6

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raw_fallback, observed 2026-05-21T16:54:17.137677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-21T16:52:16.030979Z digest=sha256:2cf6f42ad0347051ef0ffd87e0f44d46b446a7ac48d9d0657674ffc8c961442d

Observation e276fd81-c150-4b53-b0df-82973e8a0dc1 · outbound

This paper cites Conlon and A.

Gaussian random graphs and Ramsey numbers Conlon and A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T16:54:17.134637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-21T16:52:16.030979Z digest=sha256:52c2c835429abe830c28b66825fabbb8b7df56c73c9a7dbf3cb1ab3f3f2c568f

Observation 6c07c27b-25fa-4ba9-bc97-217e882480ee · outbound

This paper cites Devroye, A.

Gaussian random graphs and Ramsey numbers Devroye, A

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T16:54:17.131950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-21T16:52:16.030979Z digest=sha256:82e3e4c1f5b88c96a074e44328c41152f5ed5eb2d1e1454d3ba0019609888348

Observation 3e7fd82a-c148-4cdc-bfa8-a779909682f3 · outbound

This paper cites Erd˝ os.Some remarks on the theory of graphs.Bull.

Gaussian random graphs and Ramsey numbers Erd˝ os.Some remarks on the theory of graphs.Bull

Reference 9

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verified fuzzy
raw_fallback, observed 2026-05-21T16:54:17.129299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-21T16:52:16.030979Z digest=sha256:101ed5be9fd3160465c3ccc63c1e33fb5b149a5b4776104f2cf33e925ef6abf8

Observation d43cb806-dba2-4273-a9a3-7fee42deb606 · outbound

This paper cites Erd˝ os and G.

Gaussian random graphs and Ramsey numbers Erd˝ os and G

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T16:54:17.125425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-21T16:52:16.030979Z digest=sha256:59b9ade12f5d91bd4f81a9b8ca78a1a93dbbd180779162b992b598c8ff94c02e

Observation 28c7eb2f-2289-4c4c-93ed-3f366575bc91 · outbound

This paper cites Gordon.Values of Mills’ ratio of area to bounding ordinate and of the normal probability integral for large values of the argument.Ann.

Gaussian random graphs and Ramsey numbers Gordon.Values of Mills’ ratio of area to bounding ordinate and of the normal probability integral for large values of the argument.Ann

Reference 11

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verified fuzzy
raw_fallback, observed 2026-05-21T16:54:17.122678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-21T16:52:16.030979Z digest=sha256:fcc9dc468f2b8f1313a45c9042b793e4925be831173b61346898ff6402b7d4ad

Observation 302fd14c-f2b4-4ba0-8ecb-e8026f18d580 · outbound

This paper cites Optimizing the CGMS upper bound on Ramsey numbers.

Gaussian random graphs and Ramsey numbers Optimizing the CGMS upper bound on Ramsey numbers

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-05-21T16:54:16.331497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-21T16:52:16.030979Z digest=sha256:b86ee4ebee681d02cd243b6c04365e74b120e1fe39a96521eb7e4f75c9d38459

Observation fe2ea877-a031-45d7-9f44-b2f2358a4245 · outbound

This paper cites Hefty, P.

Gaussian random graphs and Ramsey numbers Hefty, P

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-21T16:54:16.341877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-21T16:52:16.030979Z digest=sha256:6e8395a09b247f86dd7eea6626a1c320c6fbebd861e6efa830a16ee143e0c36b

Observation c38cd3d5-b372-4afe-abaf-2265ef0a2a5a · outbound

This paper cites Laurent and P.

Gaussian random graphs and Ramsey numbers Laurent and P

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T16:54:17.119096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-21T16:52:16.030979Z digest=sha256:b4db3759fa6ee441f91ca66595749a4cb73327e83debc384ba0d9013566cc9a6

Observation 774219a5-8ecd-4fc9-8ddc-be00424c8b05 · outbound

This paper cites An exponential improvement for Ramsey lower bounds.

Gaussian random graphs and Ramsey numbers An exponential improvement for Ramsey lower bounds

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-05-21T16:54:16.353138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-21T16:52:16.030979Z digest=sha256:426a3c47148dc2d4aaf5ecaca087fbd07f4f079c0fd8698e49a0083dfa0878d7

Observation ae67982c-07d6-48a8-91d2-daf9bed54c6d · outbound

This paper cites Mattheus and J.

Gaussian random graphs and Ramsey numbers Mattheus and J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T16:54:17.115946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-21T16:52:16.030979Z digest=sha256:61b70a9f37bce90443975e88c97ee794bbe6a9eadf6cc2c8fa52d04e8bf72f26

Observation 664c05b5-f277-48bc-a765-6ee92d08dbb7 · outbound

This paper cites Mubayi and J.

Gaussian random graphs and Ramsey numbers Mubayi and J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T16:54:17.113189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-21T16:52:16.030979Z digest=sha256:dcdf47fc7124503244acfa0fd3d4bc87e7e4e5b0f0a048c785b6b6231fc8ec75

Observation 0161066c-6b82-4669-b034-9d5b8ebe0972 · outbound

This paper cites Penrose.Random Geometric Graphs.Oxford Studies in Probability, 5, Oxford University Press.

Gaussian random graphs and Ramsey numbers Penrose.Random Geometric Graphs.Oxford Studies in Probability, 5, Oxford University Press

Reference 18

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verified fuzzy
raw_fallback, observed 2026-05-21T16:54:17.110684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-21T16:52:16.030979Z digest=sha256:e98ad05e014d44888b13bb9c660d972e3149c1941a9697cfda4d852cdc785a01

Observation 0a73199c-4d70-4084-b00b-e05696cda299 · outbound

This paper cites Ramsey.On a Problem of Formal Logic.Proc.

Gaussian random graphs and Ramsey numbers Ramsey.On a Problem of Formal Logic.Proc

Reference 19

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verified fuzzy
raw_fallback, observed 2026-05-21T16:54:17.107563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-21T16:52:16.030979Z digest=sha256:23b51e2fdf8427bd4f5d73692bdc8d9a8999bcc5f5c3522016e9cd0877f56490

Observation 4f380524-762c-41d2-b5ea-662ab64bebf3 · outbound

This paper cites Sah.Diagonal Ramsey via effective quasirandomness.Duke Math.

Gaussian random graphs and Ramsey numbers Sah.Diagonal Ramsey via effective quasirandomness.Duke Math

Reference 20

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verified fuzzy
raw_fallback, observed 2026-05-21T16:54:17.145310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-21T16:52:16.030979Z digest=sha256:8eeaa62e23b3b22180a4e2fdf300de4f74e0811741d9b5940eb86250a0830ac1

Observation 3d27eebc-e40a-4b9c-ac71-479ca9b99e0c · outbound

This paper cites Spencer.Ramsey’s theorem—A new lower bound.J.

Gaussian random graphs and Ramsey numbers Spencer.Ramsey’s theorem—A new lower bound.J

Reference 21

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raw_fallback, observed 2026-05-21T16:54:17.104512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-21T16:52:16.030979Z digest=sha256:b7af4d2da3c8253cfd1df580e04c4a8215ced374bebe7d57bb085391f3861441

Observation 5d2ed01d-cae4-4138-9fde-b9f1882e7932 · outbound

This paper cites Thomason.An upper bound for some Ramsey numbers.J.

Gaussian random graphs and Ramsey numbers Thomason.An upper bound for some Ramsey numbers.J

Reference 22

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raw_fallback, observed 2026-05-21T16:54:17.101725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-21T16:52:16.030979Z digest=sha256:e3fb44f451c97e058bdf99476f74f5cbeaf7a969493f046683dba47f08930c09

Observation 35189426-5759-48be-a7c4-d7eb5745d3cb · outbound

This paper cites an unresolved cited work.

Gaussian random graphs and Ramsey numbers Unresolved cited work

Reference 23

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unresolved
raw_fallback, observed 2026-05-21T16:54:17.148203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-21T16:52:16.030979Z digest=sha256:7721e6f122d39fc4bcad1f703b5cc6320d05f5230b5dece05f6de037664d789a

Pith citing papers

Observation e599559a-f357-45d7-8d3d-3d2bb744152a · inbound

A Note on Generalized Erd\H{o}s-Rogers Problems cites this paper.

A Note on Generalized Erd\H{o}s-Rogers Problems Gaussian random graphs and Ramsey numbers

Reference 31

Resolution
verified exact
arxiv_id, observed 2026-05-20T00:05:39.405759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-13T19:06:46.040620Z digest=sha256:dff76692e8833695c89551046d98efd9839d9fb0f0ac37b599136d00b12cb43a

Observation 7cd733f8-2e15-41c0-bb83-777a4cfcef02 · inbound

A double-exponential lower bound for $r_4(5,n)$ cites this paper.

A double-exponential lower bound for $r_4(5,n)$ Gaussian random graphs and Ramsey numbers

Reference 21

Resolution
verified exact
arxiv_id, observed 2026-05-20T00:05:39.405759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-08T02:48:42.816568Z digest=sha256:e151012c8c7345b09d2574432bf794870f823e2673af60b55e05d45c549997b1

Observation ec8fa7dc-0b7d-4663-ae29-839f9b7e6557 · inbound

An improved double-exponential lower bound for $r_4(5,n)$ cites this paper.

An improved double-exponential lower bound for $r_4(5,n)$ Gaussian random graphs and Ramsey numbers

Reference 24

Resolution
verified exact
arxiv_id, observed 2026-05-20T00:05:39.405759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-08T18:15:49.948962Z digest=sha256:9d4461a7b420409c84364a34e2d9bbbc64fbb3392166e73e7056608186cd5959

Observation d5c634a1-2022-4337-b23a-bb4fbb88c1f0 · inbound

An improved double-exponential lower bound for $r_4(5,n)$ cites this paper.

An improved double-exponential lower bound for $r_4(5,n)$ Gaussian random graphs and Ramsey numbers

Reference 24

Resolution
verified exact
arxiv_id, observed 2026-05-20T00:05:39.405759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T03:12:59.572178Z digest=sha256:c35b84625de6f3d02eea787438cd6791c56e57d419133270008e933cc45fbd0d

Observation 71af8ded-ff46-49c7-9574-350a12af71e8 · inbound

Sharper Ramsey lower bounds from refined Gaussian estimates cites this paper.

Sharper Ramsey lower bounds from refined Gaussian estimates Gaussian random graphs and Ramsey numbers

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-06-29T21:43:59.709093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-29T21:35:48.106599Z digest=sha256:21cce505efb23c483db93a06708ba60a0afbf76ffb9d806d202c75081921fafd

Observation 6146c473-bd03-41a8-a5b2-2e837e0b9ab5 · inbound

Sharper Ramsey lower bounds from refined Gaussian estimates cites this paper.

Sharper Ramsey lower bounds from refined Gaussian estimates Gaussian random graphs and Ramsey numbers

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-07-04T00:29:14.927289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-04T00:26:16.564387Z digest=sha256:a1e8d45f8caf500a07b02837a8c1af981175b616d8dc0483fe5a27f307212e2e

Observation dc6dd9e5-b685-4e30-9753-77756125e138 · inbound

Prime Certificates for Exact Vertex-Coprime Ramsey Numbers cites this paper.

Prime Certificates for Exact Vertex-Coprime Ramsey Numbers Gaussian random graphs and Ramsey numbers

Reference 14

Resolution
metadata mismatch
local_arxiv, observed 2026-06-29T17:33:45.325545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-29T17:27:30.068483Z digest=sha256:a1f747f8af29b34398ef75ae9c32a4b4cacc4caf97516320839f1e5bb15a0ea6

Observation 48a612be-c484-4cfc-b359-4759c0f11033 · inbound

Off-diagonal Ramsey numbers cites this paper.

Off-diagonal Ramsey numbers Gaussian random graphs and Ramsey numbers

Reference 28

Resolution
metadata mismatch
local_arxiv, observed 2026-06-29T11:23:20.600558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-29T11:21:40.824157Z digest=sha256:d06a7b903bb0038a8a46bbb99e7ac38165bf49e48b10e532e4f8dabe5bd9a0b7

Observation e5aca360-9238-4493-9f98-df208f5af087 · inbound

New Tower-Type Lower Bounds for Hypergraph Ramsey Numbers cites this paper.

New Tower-Type Lower Bounds for Hypergraph Ramsey Numbers Gaussian random graphs and Ramsey numbers

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-07-04T16:59:57.775281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-26T00:06:35.345332Z digest=sha256:7cc6842b2ee41cffd8e9055e73473a80c72f04536315c8fa94a4cd6b5a380e9d

Observation 405c3c67-01e2-414a-b394-f839f4deeac6 · inbound

Distinguishability threshold for random geometric graphs cites this paper.

Distinguishability threshold for random geometric graphs Gaussian random graphs and Ramsey numbers

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-01T04:42:47.273732Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:42:47.273732Z digest=sha256:578e44fe76ed8dc8913f70e148d1024d255b051dbed107fd4a2ede6e4420044f