Pith Number

pith:ESYRSSW7

pith:2016:ESYRSSW7L6EJ3AM7NNW5MJS3HH

not attested not anchored not stored refs pending

The Beraha number $B_{10}$ is a chromatic root

Gordon Royle

arxiv:1611.01941 v1 · 2016-11-07 · 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{ESYRSSW7L6EJ3AM7NNW5MJS3HH}

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	2026-05-18T01:00:04.115782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24b1194adf5f889d819f6b6dd6265b39cdde5ad037f1eda2f97de9188ec82ffa

Aliases

arxiv: 1611.01941 · arxiv_version: 1611.01941v1 · doi: 10.48550/arxiv.1611.01941 · pith_short_12: ESYRSSW7L6EJ · pith_short_16: ESYRSSW7L6EJ3AM7 · pith_short_8: ESYRSSW7

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/ESYRSSW7L6EJ3AM7NNW5MJS3HH \
  | 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: 24b1194adf5f889d819f6b6dd6265b39cdde5ad037f1eda2f97de9188ec82ffa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4def67fe10582ea67d24ad9e3aaec47337319114dba69850663beb4c2522e7b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-07T09:08:49Z",
    "title_canon_sha256": "20a69d2552eddb8ee3881d583bfb97daa69519cecc4a6d49109e3305c4aae6d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01941",
    "kind": "arxiv",
    "version": 1
  }
}