Pith Number

pith:3OB3MN3Y

pith:2021:3OB3MN3YHHT4457U2OY3B2Y57Q

not attested not anchored not stored refs pending

Ramsey simplicity of random graphs

Dennis Clemens, Pranshu Gupta, Shagnik Das, Simona Boyadzhiyska

arxiv:2109.04140 v1 · 2021-09-09 · 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{3OB3MN3YHHT4457U2OY3B2Y57Q}

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	2026-07-05T10:23:48.795814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db83b6377839e7ce77f4d3b1b0eb1dfc1c99e4a144ed77c6031b445b037f510b

Aliases

arxiv: 2109.04140 · arxiv_version: 2109.04140v1 · doi: 10.48550/arxiv.2109.04140 · pith_short_12: 3OB3MN3YHHT4 · pith_short_16: 3OB3MN3YHHT4457U · pith_short_8: 3OB3MN3Y

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/3OB3MN3YHHT4457U2OY3B2Y57Q \
  | 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: db83b6377839e7ce77f4d3b1b0eb1dfc1c99e4a144ed77c6031b445b037f510b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a346a85818714955fb73ceebacf5eb7398ee9382c182b6fae069212eef75e048",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-09-09T09:59:29Z",
    "title_canon_sha256": "cf3b0386f4a072a5f06f5de12dbc291720076329a37e7860a48686b4cc2b825b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.04140",
    "kind": "arxiv",
    "version": 1
  }
}