Pith Number

pith:ZBHBMJMR

pith:2001:ZBHBMJMRL5D4Y7KSM5TVVA52EZ

not attested not anchored not stored refs pending

Vertex Lie algebras, vertex Poisson algebras and vertex algebras

C. Dong, G. Mason, H. Li

arxiv:math/0102127 v1 · 2001-02-16 · math.QA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZBHBMJMRL5D4Y7KSM5TVVA52EZ}

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	2026-07-04T14:49:40.586382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c84e1625915f47cc7d5267675a83ba2662bad768dac76bd4ff3dd12fc80d96f7

Aliases

arxiv: math/0102127 · arxiv_version: math/0102127v1 · doi: 10.48550/arxiv.math/0102127 · pith_short_12: ZBHBMJMRL5D4 · pith_short_16: ZBHBMJMRL5D4Y7KS · pith_short_8: ZBHBMJMR

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/ZBHBMJMRL5D4Y7KSM5TVVA52EZ \
  | 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: c84e1625915f47cc7d5267675a83ba2662bad768dac76bd4ff3dd12fc80d96f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26d0bd0c0fbb39a96903f10f2fbbd4d2619d497813275c10dd7dc09699ebf4be",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2001-02-16T22:26:10Z",
    "title_canon_sha256": "3b0fa8229590dc4e91f33a771713a5cf677bbbdafb4f2969f49fe1d92de49709"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0102127",
    "kind": "arxiv",
    "version": 1
  }
}