Pith Number

pith:35AM3AVW

pith:2004:35AM3AVWUXT5UMKTZM25M3PZPZ

not attested not anchored not stored refs pending

Composition Kostka functions

Friedrich Knop

arxiv:math/0403072 v2 · 2004-03-03 · math.QA · 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{35AM3AVWUXT5UMKTZM25M3PZPZ}

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	2026-05-18T02:30:16.505992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df40cd82b6a5e7da3153cb35d66df97e7a873548aeb481446716a0f7afa9999f

Aliases

arxiv: math/0403072 · arxiv_version: math/0403072v2 · doi: 10.48550/arxiv.math/0403072 · pith_short_12: 35AM3AVWUXT5 · pith_short_16: 35AM3AVWUXT5UMKT · pith_short_8: 35AM3AVW

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/35AM3AVWUXT5UMKTZM25M3PZPZ \
  | 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: df40cd82b6a5e7da3153cb35d66df97e7a873548aeb481446716a0f7afa9999f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bf055661ceb933d0f3ff959ec2697d2544195872d36b7f6947c4a5a03e39c9f",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2004-03-03T14:45:02Z",
    "title_canon_sha256": "4b1d478444320959f5a03584fb2051496ae6d4e5d3cf63cae562ccb9e532167b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0403072",
    "kind": "arxiv",
    "version": 2
  }
}