Pith Number

pith:GVEA2GCZ

pith:2012:GVEA2GCZ42ITHNTCQX2766OCFF

not attested not anchored not stored refs pending

On vertex Leibniz algebras

Haisheng Li, Qing Wang, Shaobin Tan

arxiv:1210.5733 v1 · 2012-10-21 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVEA2GCZ42ITHNTCQX2766OCFF}

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	2026-05-18T03:42:43.187234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35480d1859e69133b66285f5ff79c229719e8a306c73f88352a34b953e81eb4c

Aliases

arxiv: 1210.5733 · arxiv_version: 1210.5733v1 · doi: 10.48550/arxiv.1210.5733 · pith_short_12: GVEA2GCZ42IT · pith_short_16: GVEA2GCZ42ITHNTC · pith_short_8: GVEA2GCZ

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/GVEA2GCZ42ITHNTCQX2766OCFF \
  | 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: 35480d1859e69133b66285f5ff79c229719e8a306c73f88352a34b953e81eb4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c352a2547ce46a7502da733213ace5e1c73abff57d5348c8e9cfae209b1907a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-10-21T14:52:02Z",
    "title_canon_sha256": "190b0e0183a48b770633eb275a95bb9196de3dd74149fe812e52b531eee605db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5733",
    "kind": "arxiv",
    "version": 1
  }
}