Pith Number

pith:YBCQJ7L6

pith:2011:YBCQJ7L6JNEQLVUV65BWZQHHW7

not attested not anchored not stored refs pending

The complexity of the Lie module

Kai Meng Tan, Karin Erdmann, Kay Jin Lim

arxiv:1108.3128 v1 · 2011-08-16 · 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{YBCQJ7L6JNEQLVUV65BWZQHHW7}

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	2026-05-18T04:15:27.901301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c04504fd7e4b4905d695f7436cc0e7b7e0b950a0d47f1c7ed65832a952dd77e4

Aliases

arxiv: 1108.3128 · arxiv_version: 1108.3128v1 · doi: 10.48550/arxiv.1108.3128 · pith_short_12: YBCQJ7L6JNEQ · pith_short_16: YBCQJ7L6JNEQLVUV · pith_short_8: YBCQJ7L6

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/YBCQJ7L6JNEQLVUV65BWZQHHW7 \
  | 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: c04504fd7e4b4905d695f7436cc0e7b7e0b950a0d47f1c7ed65832a952dd77e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7fb172c45033ab52d8cef38cd0b22d942a2e59f95b9fc6175e6973554fb9b24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-08-16T00:24:26Z",
    "title_canon_sha256": "4a0e7d3bd15475ff196d11e6f3e7e7de4c146289e05220ff22aa46c5210d6f3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3128",
    "kind": "arxiv",
    "version": 1
  }
}