Pith Number

pith:E4EQTF42

pith:2008:E4EQTF42KW77DY7DYK2TUIPWE3

not attested not anchored not stored refs pending

When is a Bol loop Moufang?

Edgar G. Goodaire, Michael Kinyon, Orin Chein

arxiv:0803.2205 v3 · 2008-03-14 · math.GR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E4EQTF42KW77DY7DYK2TUIPWE3}

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	2026-05-18T03:44:34.244762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

270909979a55bff1e3e3c2b53a21f626eda7251f4a7a0bd887433af9643c39f5

Aliases

arxiv: 0803.2205 · arxiv_version: 0803.2205v3 · doi: 10.48550/arxiv.0803.2205 · pith_short_12: E4EQTF42KW77 · pith_short_16: E4EQTF42KW77DY7D · pith_short_8: E4EQTF42

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/E4EQTF42KW77DY7DYK2TUIPWE3 \
  | 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: 270909979a55bff1e3e3c2b53a21f626eda7251f4a7a0bd887433af9643c39f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d3b996c15ae34d400976d9ee97aa1925a3cd3603d98973a3378053756526da4",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-03-14T16:51:12Z",
    "title_canon_sha256": "3dce1767d13bf4a4c2257195dbbed4ffc0839debf2106f1018ced497cb6447ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.2205",
    "kind": "arxiv",
    "version": 3
  }
}