Pith Number

pith:FAYJ5MLY

pith:2025:FAYJ5MLYPBFQMVLO2ZPVZLXQEF

not attested not anchored not stored refs pending

Gaussian random graphs and Ramsey numbers

Aleksa Milojevi\'c, Benny Sudakov, Zach Hunter

arxiv:2512.17718 v2 · 2025-12-19 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FAYJ5MLYPBFQMVLO2ZPVZLXQEF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

4 papers in Pith

A Note on Generalized Erd\H{o}s-Rogers Problems

An improved double-exponential lower bound for $r_4(5,n)$

A double-exponential lower bound for $r_4(5,n)$

An improved double-exponential lower bound for $r_4(5,n)$

Receipt and verification

First computed	2026-05-20T00:05:39.448699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28309eb178784b06556ed65f5caef021799cb7c506d001e3cfbf33e6fe526344

Aliases

arxiv: 2512.17718 · arxiv_version: 2512.17718v2 · doi: 10.48550/arxiv.2512.17718 · pith_short_12: FAYJ5MLYPBFQ · pith_short_16: FAYJ5MLYPBFQMVLO · pith_short_8: FAYJ5MLY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FAYJ5MLYPBFQMVLO2ZPVZLXQEF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 28309eb178784b06556ed65f5caef021799cb7c506d001e3cfbf33e6fe526344

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88e09ef2d8c6e371b36574f19f3d7445d3170c1a2abb4dfe737925d19487b1e8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-12-19T15:52:01Z",
    "title_canon_sha256": "a6685b6ce12669b9f294d65a7aa315fafc91d064b57ef4979db39210460d0656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.17718",
    "kind": "arxiv",
    "version": 2
  }
}