Pith Number

pith:3DXZWNBB

pith:2021:3DXZWNBBZHOEOTGHOB5H6BU3NF

not attested not anchored not stored refs pending

Multicolor list Ramsey numbers grow exponentially

Jacob Fox, Max Wenqiang Xu, Sammy Luo, Xiaoyu He

arxiv:2103.15175 v2 · 2021-03-28 · 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{3DXZWNBBZHOEOTGHOB5H6BU3NF}

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.

Receipt and verification

First computed	2026-07-05T03:50:48.166285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8ef9b3421c9dc474cc7707a7f069b697a5c02ec14f654317d053b260a25a0ce

Aliases

arxiv: 2103.15175 · arxiv_version: 2103.15175v2 · doi: 10.48550/arxiv.2103.15175 · pith_short_12: 3DXZWNBBZHOE · pith_short_16: 3DXZWNBBZHOEOTGH · pith_short_8: 3DXZWNBB

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/3DXZWNBBZHOEOTGHOB5H6BU3NF \
  | 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: d8ef9b3421c9dc474cc7707a7f069b697a5c02ec14f654317d053b260a25a0ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acf2033675584932822f3d422c996ef32d403a0581ce70452d0d79bc6206c74d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-03-28T16:58:00Z",
    "title_canon_sha256": "f25d97c2a92db9d774b666d8b333e49bf3a82c10f1bec0cb47d91749d5835154"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.15175",
    "kind": "arxiv",
    "version": 2
  }
}