Pith Number

pith:CXQHPVUZ

pith:2007:CXQHPVUZ6YZWHUT7F2NUOPWTQ2

not attested not anchored not stored refs pending

The Loewy length of the descent algebra of type D

Franco V. Saliola

arxiv:0708.4070 v1 · 2007-08-30 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXQHPVUZ6YZWHUT7F2NUOPWTQ2}

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	2026-07-04T15:03:55.500402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15e077d699f63363d27f2e9b473ed3868ebdd71ec66b4a823b235eceb7c2c72f

Aliases

arxiv: 0708.4070 · arxiv_version: 0708.4070v1 · doi: 10.48550/arxiv.0708.4070 · pith_short_12: CXQHPVUZ6YZW · pith_short_16: CXQHPVUZ6YZWHUT7 · pith_short_8: CXQHPVUZ

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/CXQHPVUZ6YZWHUT7F2NUOPWTQ2 \
  | 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: 15e077d699f63363d27f2e9b473ed3868ebdd71ec66b4a823b235eceb7c2c72f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dba125c6c86db45bcfba17236bc2231ff78a8f9f1f302982b711ca2e7f96b7a3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2007-08-30T18:35:47Z",
    "title_canon_sha256": "0a848c2cc18da8853fd9e07e7808df37d428e4b288476d1a4795ac3bda0675ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.4070",
    "kind": "arxiv",
    "version": 1
  }
}