Pith Number

pith:2PEWWXBI

pith:2007:2PEWWXBIURBTYGGLGV4MPY57UM

not attested not anchored not stored refs pending

Combinatorial Hopf algebras and Towers of Algebras

Huilan Li, Nantel Bergeron, Thomas Lam

arxiv:0710.3744 v1 · 2007-10-19 · 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{2PEWWXBIURBTYGGLGV4MPY57UM}

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	2026-05-18T04:12:19.349694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3c96b5c28a4433c18cb3578c7e3bfa333a8c0e9ffd63ed836ac3c407d114d68

Aliases

arxiv: 0710.3744 · arxiv_version: 0710.3744v1 · doi: 10.48550/arxiv.0710.3744 · pith_short_12: 2PEWWXBIURBT · pith_short_16: 2PEWWXBIURBTYGGL · pith_short_8: 2PEWWXBI

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/2PEWWXBIURBTYGGLGV4MPY57UM \
  | 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: d3c96b5c28a4433c18cb3578c7e3bfa333a8c0e9ffd63ed836ac3c407d114d68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6139d44e0a5f06e738b1d5df90efdacec988723a2592dfee665d852fa29df85",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-10-19T17:22:03Z",
    "title_canon_sha256": "78b45f768f66ccd767b65b6cd040a1ba8011a879f8095c764a71c0e08261711e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.3744",
    "kind": "arxiv",
    "version": 1
  }
}