Pith Number

pith:KL436TVG

pith:2009:KL436TVGVLE3HY772CGFQJ5JR2

not attested not anchored not stored refs pending

Combinatorial Hopf algebras and Towers of Algebras - Dimension, Quantization, and Functoriality

Huilan Li, Nantel Bergeron, Thomas Lam

arxiv:0903.1381 v2 · 2009-03-08 · math.CO · 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{KL436TVGVLE3HY772CGFQJ5JR2}

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	2026-05-18T03:51:47.482236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52f9bf4ea6aac9b3e3ffd08c5827a98e80ce7afc78c346b73f14f45249774bb0

Aliases

arxiv: 0903.1381 · arxiv_version: 0903.1381v2 · doi: 10.48550/arxiv.0903.1381 · pith_short_12: KL436TVGVLE3 · pith_short_16: KL436TVGVLE3HY77 · pith_short_8: KL436TVG

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/KL436TVGVLE3HY772CGFQJ5JR2 \
  | 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: 52f9bf4ea6aac9b3e3ffd08c5827a98e80ce7afc78c346b73f14f45249774bb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13d3cea47b754b0a0135e5ee3d09d9535059c50eea198faabe66aec2bb63deeb",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-03-08T01:21:20Z",
    "title_canon_sha256": "6dde5acbc2330152ac69deeb47f33bc9766a95a18443348f71a852950fc9b6f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1381",
    "kind": "arxiv",
    "version": 2
  }
}