Pith Number

pith:G4EHZFJG

pith:1996:G4EHZFJG6CNE73K4STKZSQMPE3

not attested not anchored not stored refs pending

Class 2 Moufang loops, small Frattini Moufang loops, and code loops

Tim Hsu

arxiv:math/9611214 v1 · 1996-11-20 · 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{G4EHZFJG6CNE73K4STKZSQMPE3}

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	2026-05-18T01:05:46.909848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37087c9526f09a4fed5c94d599418f26df624cf4ab5fa5e0319b5accc00e7dec

Aliases

arxiv: math/9611214 · arxiv_version: math/9611214v1 · doi: 10.48550/arxiv.math/9611214 · pith_short_12: G4EHZFJG6CNE · pith_short_16: G4EHZFJG6CNE73K4 · pith_short_8: G4EHZFJG

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/G4EHZFJG6CNE73K4STKZSQMPE3 \
  | 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: 37087c9526f09a4fed5c94d599418f26df624cf4ab5fa5e0319b5accc00e7dec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccce2f5d282967d142d88e164f753739879dff8916e6d4114b2a26bdb79ca0c6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "1996-11-20T00:00:00Z",
    "title_canon_sha256": "dd03bf5cd13914f39c60992074a2101cfb336e456eaf4675ffc53b8e10967732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9611214",
    "kind": "arxiv",
    "version": 1
  }
}