Pith Number

pith:27WU4JTF

pith:2019:27WU4JTFTZVTZNNNTBBIFUY6CG

not attested not anchored not stored refs pending

Classification of left octonion modules

Guangbin Ren, Qinghai Huo, Yong Li

arxiv:1911.08282 v2 · 2019-11-19 · 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{27WU4JTFTZVTZNNNTBBIFUY6CG}

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	2026-07-05T00:20:56.497729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7ed4e26659e6b3cb5ad984282d31e11b22e304126d6f0cc018dcbd13729eed0

Aliases

arxiv: 1911.08282 · arxiv_version: 1911.08282v2 · doi: 10.48550/arxiv.1911.08282 · pith_short_12: 27WU4JTFTZVT · pith_short_16: 27WU4JTFTZVTZNNN · pith_short_8: 27WU4JTF

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/27WU4JTFTZVTZNNNTBBIFUY6CG \
  | 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: d7ed4e26659e6b3cb5ad984282d31e11b22e304126d6f0cc018dcbd13729eed0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a322944de5dd3c85834d7909611bb0d6b4a28941fbdf7267a86af62846a2a381",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-11-19T14:16:26Z",
    "title_canon_sha256": "d386ab4e0ac2120f0cdda8316c53e085ee6606c9db56e8149eaddb4371410961"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.08282",
    "kind": "arxiv",
    "version": 2
  }
}