Pith Number

pith:W2J3Y3JA

pith:2021:W2J3Y3JABRQNDZBYKLL7XYIHYB

not attested not anchored not stored refs pending

Unified products for Malcev algebras

Ling Zhang, Ruyi Xie, Tao Zhang

arxiv:2108.09787 v1 · 2021-08-22 · 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{W2J3Y3JABRQNDZBYKLL7XYIHYB}

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	2026-07-05T03:07:58.578147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b693bc6d200c60d1e43852d7fbe107c042720ca3f1a2a9c32352386abedc617e

Aliases

arxiv: 2108.09787 · arxiv_version: 2108.09787v1 · doi: 10.48550/arxiv.2108.09787 · pith_short_12: W2J3Y3JABRQN · pith_short_16: W2J3Y3JABRQNDZBY · pith_short_8: W2J3Y3JA

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/W2J3Y3JABRQNDZBYKLL7XYIHYB \
  | 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: b693bc6d200c60d1e43852d7fbe107c042720ca3f1a2a9c32352386abedc617e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c89ba3eeae20ad70e58cfc51b0b4d5f68f30a4147a8184beedf07784076b2034",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2021-08-22T17:07:33Z",
    "title_canon_sha256": "c0c6547e33874b6a3d58a8c49679066320bb7164abd8d680bcbb345c8dce9c54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.09787",
    "kind": "arxiv",
    "version": 1
  }
}