Pith Number

pith:NNDPFPHM

pith:2007:NNDPFPHMZVPQCYGB4V6JUPI5ZF

not attested not anchored not stored refs pending

On the quiver of the descent algebra

Franco V. Saliola

arxiv:0708.4213 v2 · 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{NNDPFPHMZVPQCYGB4V6JUPI5ZF}

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	2026-07-04T15:12:43.287134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b46f2bceccd5f0160c1e57c9a3d1dc957d462372126dca80797276393a68670

Aliases

arxiv: 0708.4213 · arxiv_version: 0708.4213v2 · doi: 10.48550/arxiv.0708.4213 · pith_short_12: NNDPFPHMZVPQ · pith_short_16: NNDPFPHMZVPQCYGB · pith_short_8: NNDPFPHM

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/NNDPFPHMZVPQCYGB4V6JUPI5ZF \
  | 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: 6b46f2bceccd5f0160c1e57c9a3d1dc957d462372126dca80797276393a68670

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89cb46e9265b5231697a98288ad84a4e0c0925155736358cd35083f32be1514c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2007-08-30T18:15:15Z",
    "title_canon_sha256": "a0591f60cb7323cf96aa46c49da849a2893e6421491ad56ffc2cf33071bc1fdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.4213",
    "kind": "arxiv",
    "version": 2
  }
}