Pith Number

pith:2B2XHT4F

pith:2016:2B2XHT4FHH3M6MDVOZR7EOONT5

not attested not anchored not stored refs pending

Multiplicity free gradings on semisimple Lie and Jordan algebras and skew root

Gang Han, Kang Lu, Yucheng Liu

arxiv:1611.03943 v1 · 2016-11-12 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2B2XHT4FHH3M6MDVOZR7EOONT5}

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	2026-05-18T00:59:18.011813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d07573cf8539f6cf30757663f239cd9f742d5e2197d4a287cc1bfc8099add643

Aliases

arxiv: 1611.03943 · arxiv_version: 1611.03943v1 · doi: 10.48550/arxiv.1611.03943 · pith_short_12: 2B2XHT4FHH3M · pith_short_16: 2B2XHT4FHH3M6MDV · pith_short_8: 2B2XHT4F

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/2B2XHT4FHH3M6MDVOZR7EOONT5 \
  | 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: d07573cf8539f6cf30757663f239cd9f742d5e2197d4a287cc1bfc8099add643

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9340441c569bd582cb8da076100947e19a349248cb69ce72b4bf2f4bb048ea15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-11-12T03:00:28Z",
    "title_canon_sha256": "f2f673ee9ca33e43a95100f9c70cfb66c1aaaf4929f1606a53f0de3f3b77b4d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03943",
    "kind": "arxiv",
    "version": 1
  }
}