Pith Number

pith:3LM6COTF

pith:2010:3LM6COTFDGBEFXU6YJHZXPQWT7

not attested not anchored not stored refs pending

The competition numbers of Hamming graphs with diameter at most three

Boram Park, Yoshio Sano

arxiv:1011.2591 v1 · 2010-11-11 · 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{3LM6COTFDGBEFXU6YJHZXPQWT7}

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	2026-05-18T04:19:23.107841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dad9e13a65198242de9ec24f9bbe169fd55f869d8a23d380bb44f7c3a5cbc281

Aliases

arxiv: 1011.2591 · arxiv_version: 1011.2591v1 · doi: 10.48550/arxiv.1011.2591 · pith_short_12: 3LM6COTFDGBE · pith_short_16: 3LM6COTFDGBEFXU6 · pith_short_8: 3LM6COTF

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/3LM6COTFDGBEFXU6YJHZXPQWT7 \
  | 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: dad9e13a65198242de9ec24f9bbe169fd55f869d8a23d380bb44f7c3a5cbc281

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65b49f6f88593f07938397d1ab2e3542db0d4ca43ba10a2d247abbdcaa07b483",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-11T08:34:48Z",
    "title_canon_sha256": "f1985f91a34b6a6c3e58fee1720b7d771b18fbe1367af0abca0397fcfe2b94fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2591",
    "kind": "arxiv",
    "version": 1
  }
}