Pith Number

pith:W7WPPJPD

pith:2005:W7WPPJPDJMCCOXHEJX6YY3OX7P

not attested not anchored not stored refs pending

The Universal Central Extension of the Three-point sl_2 Loop Algebra

Georgia Benkart, Paul Terwilliger

arxiv:math/0512422 v1 · 2005-12-17 · math.RA · 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{W7WPPJPDJMCCOXHEJX6YY3OX7P}

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	2026-05-18T01:05:22.854262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7ecf7a5e34b04275ce44dfd8c6dd7fbfed952fa3b61e1ee616d16f6943564e9

Aliases

arxiv: math/0512422 · arxiv_version: math/0512422v1 · doi: 10.48550/arxiv.math/0512422 · pith_short_12: W7WPPJPDJMCC · pith_short_16: W7WPPJPDJMCCOXHE · pith_short_8: W7WPPJPD

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/W7WPPJPDJMCCOXHEJX6YY3OX7P \
  | 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: b7ecf7a5e34b04275ce44dfd8c6dd7fbfed952fa3b61e1ee616d16f6943564e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc092e5b185f0b464bc93a2a13ad605ffac193af16b0627389c3880d0fa1cc17",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2005-12-17T23:27:10Z",
    "title_canon_sha256": "82dfd5c1a08ab28c2583716fee59df008d65f97e98840ec17558c61532508458"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512422",
    "kind": "arxiv",
    "version": 1
  }
}