Pith Number

pith:4J5D4Y4H

pith:2015:4J5D4Y4HDKHN3NOUOE32FW44OH

not attested not anchored not stored refs pending

Steiner Loops Satisfying the Statement of Moufang's Theorem

Charles J. Colbourn, Giliard Souza dos Anjos, Maria de Lourdes Merlini Giuliani

arxiv:1509.06364 v1 · 2015-09-20 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4J5D4Y4HDKHN3NOUOE32FW44OH}

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	2026-05-18T01:32:20.470931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e27a3e63871a8eddb5d47137a2db9c71dc8c71f93ebb8cefa848bfc01d638ae1

Aliases

arxiv: 1509.06364 · arxiv_version: 1509.06364v1 · doi: 10.48550/arxiv.1509.06364 · pith_short_12: 4J5D4Y4HDKHN · pith_short_16: 4J5D4Y4HDKHN3NOU · pith_short_8: 4J5D4Y4H

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/4J5D4Y4HDKHN3NOUOE32FW44OH \
  | 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: e27a3e63871a8eddb5d47137a2db9c71dc8c71f93ebb8cefa848bfc01d638ae1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9765d918a16180a083d8325d498b381de0349b7ddff7538ca5f6d72378fb993",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-09-20T17:11:35Z",
    "title_canon_sha256": "89b16e42dc37b4cbaa78eccf479a84d50d3c59bf010c537f7ff637c6c984365b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06364",
    "kind": "arxiv",
    "version": 1
  }
}