Pith Number

pith:NN44APZ2

pith:2018:NN44APZ2WRSMQYCTH5UZOJAJSX

not attested not anchored not stored refs pending

The relationship between graphs and Nichols braided Lie algebras

Shouchuan Zhang, Weicai Wu, Zhengtang Tan

arxiv:1810.05951 v2 · 2018-10-14 · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NN44APZ2WRSMQYCTH5UZOJAJSX}

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	2026-05-17T23:45:15.297882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b79c03f3ab464c860533f6997240995c7cf1ad633d181a3f06cad92c3b3c9be

Aliases

arxiv: 1810.05951 · arxiv_version: 1810.05951v2 · doi: 10.48550/arxiv.1810.05951 · pith_short_12: NN44APZ2WRSM · pith_short_16: NN44APZ2WRSMQYCT · pith_short_8: NN44APZ2

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/NN44APZ2WRSMQYCTH5UZOJAJSX \
  | 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: 6b79c03f3ab464c860533f6997240995c7cf1ad633d181a3f06cad92c3b3c9be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49b24e36fffe79f65ee0a97c16a9c3f6dc0974790aa01a50880b0c730c969270",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-14T02:05:37Z",
    "title_canon_sha256": "ab2bca9be247a2d7be0c629b24ac6db1b34ae7ea515cfbfb437656db300bcee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05951",
    "kind": "arxiv",
    "version": 2
  }
}