Pith Number

pith:72PPLVQM

pith:2012:72PPLVQMC5YWGSK6FN374SUHUK

not attested not anchored not stored refs pending

Borcherds and Kac-Moody extensions of simple finite-dimensional Lie algebras

Jakob Palmkvist

arxiv:1203.5107 v2 · 2012-03-22 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72PPLVQMC5YWGSK6FN374SUHUK}

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	2026-05-18T03:51:12.685693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe9ef5d60c177163495e2b77fe4a87a2a6a8f66684b56043d14940295dcbe613

Aliases

arxiv: 1203.5107 · arxiv_version: 1203.5107v2 · doi: 10.48550/arxiv.1203.5107 · pith_short_12: 72PPLVQMC5YW · pith_short_16: 72PPLVQMC5YWGSK6 · pith_short_8: 72PPLVQM

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/72PPLVQMC5YWGSK6FN374SUHUK \
  | 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: fe9ef5d60c177163495e2b77fe4a87a2a6a8f66684b56043d14940295dcbe613

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd89fd16d26864be259018d5a8ea29ae78585aea4dd491ae30fac445ae270402",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-03-22T20:00:06Z",
    "title_canon_sha256": "fecd4c047c845fea80baa6d0945dd12a892607a0fdb68689f92e2b10022783fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5107",
    "kind": "arxiv",
    "version": 2
  }
}