Pith Number

pith:RIEESNSK

pith:2012:RIEESNSK6RIH4EQAI6REGZ6VYR

not attested not anchored not stored refs pending

Coassociative Lie algebras

D.-G. Wang, G. Zhuang, J.J. Zhang

arxiv:1207.4257 v2 · 2012-07-18 · 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{RIEESNSK6RIH4EQAI6REGZ6VYR}

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	2026-05-18T03:27:13.944938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a0849364af4507e120047a24367d5c47fc9acab67af4fe15e94858eeee10420

Aliases

arxiv: 1207.4257 · arxiv_version: 1207.4257v2 · doi: 10.48550/arxiv.1207.4257 · pith_short_12: RIEESNSK6RIH · pith_short_16: RIEESNSK6RIH4EQA · pith_short_8: RIEESNSK

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/RIEESNSK6RIH4EQAI6REGZ6VYR \
  | 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: 8a0849364af4507e120047a24367d5c47fc9acab67af4fe15e94858eeee10420

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fa3b2cd1cd0c49efde37fc9886011711207a3b1a685a7d961e5956a56db4b28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-07-18T03:51:52Z",
    "title_canon_sha256": "dc4345273cd6289ada463e1c6e732416e86a3c997fa42a65d00434aa68826dbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4257",
    "kind": "arxiv",
    "version": 2
  }
}