Pith Number

pith:ZRVMDCH4

pith:2022:ZRVMDCH45EDWISG2Q2CNT626WQ

not attested not anchored not stored refs pending

The Erd\H{o}s-Gy\'arf\'as function $f(n, 4, 5) = \frac 56 n + o(n)$ -- so Gy\'arf\'as was right

Andrzej Dudek, Patrick Bennett, Pawe{\l} Pra{\l}at, Ryan Cushman

arxiv:2207.02920 v1 · 2022-07-06 · 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{ZRVMDCH45EDWISG2Q2CNT626WQ}

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

1 paper in Pith

New results on the odd- and unique-Ramsey numbers

Receipt and verification

First computed	2026-07-05T04:38:17.057610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc6ac188fce9076448da8684d9fb5eb40ac9a465d488a2748e0316a58575d8c8

Aliases

arxiv: 2207.02920 · arxiv_version: 2207.02920v1 · doi: 10.48550/arxiv.2207.02920 · pith_short_12: ZRVMDCH45EDW · pith_short_16: ZRVMDCH45EDWISG2 · pith_short_8: ZRVMDCH4

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/ZRVMDCH45EDWISG2Q2CNT626WQ \
  | 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: cc6ac188fce9076448da8684d9fb5eb40ac9a465d488a2748e0316a58575d8c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf0a44b38527374d07fc138d21ffb3fa12af9c1393069495afc742ea05ea71f8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-07-06T18:57:28Z",
    "title_canon_sha256": "ebe52d464c637186f3b887c21e4d23e18b7f7e080b6648f062f1ac5fb88038da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.02920",
    "kind": "arxiv",
    "version": 1
  }
}