Pith Number

pith:7BHKHKZN

pith:2020:7BHKHKZN5C6ZYMBH4N7JX2M7GS

not attested not anchored not stored refs pending

On Weakly Complete Universal Enveloping Algebras: A Poincare-Birkhoff-Witt Theorem

Karl H. Hofmann, Linus Kramer

arxiv:2004.11541 v3 · 2020-04-24 · math.RT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7BHKHKZN5C6ZYMBH4N7JX2M7GS}

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	2026-07-05T04:23:33.660014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f84ea3ab2de8bd9c3027e37e9be99f348e8b52fb1210d97b0d4874ee9bb84e64

Aliases

arxiv: 2004.11541 · arxiv_version: 2004.11541v3 · doi: 10.48550/arxiv.2004.11541 · pith_short_12: 7BHKHKZN5C6Z · pith_short_16: 7BHKHKZN5C6ZYMBH · pith_short_8: 7BHKHKZN

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/7BHKHKZN5C6ZYMBH4N7JX2M7GS \
  | 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: f84ea3ab2de8bd9c3027e37e9be99f348e8b52fb1210d97b0d4874ee9bb84e64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fffae0ad69e649b3fa58eec457c5ec44d0f0fb0f9ae27f92ba7e4a5236048317",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2020-04-24T05:49:18Z",
    "title_canon_sha256": "85b72680accff59a7b6dc258fc6d779b37be909e34adbdd5431349f77edf36e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.11541",
    "kind": "arxiv",
    "version": 3
  }
}