Pith Number

pith:EOII2W7N

pith:2011:EOII2W7NBKQCLPX5BRTUD3PDUL

not attested not anchored not stored refs pending

Neighbour transitivity on codes in Hamming graphs

Cheryl E. Praeger, Neil I. Gillespie

arxiv:1112.1244 v1 · 2011-12-06 · 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{EOII2W7NBKQCLPX5BRTUD3PDUL}

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	2026-05-18T02:54:47.375142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23908d5bed0aa025befd0c6741ede3a2c614f862a4549274f711815e6fa28878

Aliases

arxiv: 1112.1244 · arxiv_version: 1112.1244v1 · doi: 10.48550/arxiv.1112.1244 · pith_short_12: EOII2W7NBKQC · pith_short_16: EOII2W7NBKQCLPX5 · pith_short_8: EOII2W7N

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/EOII2W7NBKQCLPX5BRTUD3PDUL \
  | 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: 23908d5bed0aa025befd0c6741ede3a2c614f862a4549274f711815e6fa28878

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71469085911d0e85095304a52beb716c6c99586f46a9946df7423966d564fd03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-06T11:59:03Z",
    "title_canon_sha256": "fb28fa99a513bfa091f105825d568f9fa1fc643780bda551770032296c9f6d35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1244",
    "kind": "arxiv",
    "version": 1
  }
}