Pith Number

pith:YKT44RBR

pith:2013:YKT44RBR6T52N2QUBUYTUNOSQ7

not attested not anchored not stored refs pending

Primitive Groups Synchronize Non-uniform Maps of Extreme Ranks

Jo\~ao Ara\'ujo, Peter J. Cameron

arxiv:1306.4827 v2 · 2013-06-20 · 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{YKT44RBR6T52N2QUBUYTUNOSQ7}

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	2026-05-18T03:01:13.678715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2a7ce4431f4fba6ea140d313a35d287d0ab12f08588ec48d31ce266e1d7d553

Aliases

arxiv: 1306.4827 · arxiv_version: 1306.4827v2 · doi: 10.48550/arxiv.1306.4827 · pith_short_12: YKT44RBR6T52 · pith_short_16: YKT44RBR6T52N2QU · pith_short_8: YKT44RBR

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/YKT44RBR6T52N2QUBUYTUNOSQ7 \
  | 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: c2a7ce4431f4fba6ea140d313a35d287d0ab12f08588ec48d31ce266e1d7d553

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df522f39e6b14fcbb2f818080460ffebee817389cd56425600f66bb0598e99bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-20T11:38:19Z",
    "title_canon_sha256": "4fba6c4dde9d29c325126ec907ababd23aa1936860e6e00122c7fc58ddcffe58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4827",
    "kind": "arxiv",
    "version": 2
  }
}