Pith Number

pith:IHRWCGE6

pith:2009:IHRWCGE62U5NDJ5TN7NBOXEHFA

not attested not anchored not stored refs pending

A quantitative version of the non-abelian idempotent theorem

Tom Sanders

arxiv:0912.0308 v2 · 2009-12-02 · math.CA · 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{IHRWCGE62U5NDJ5TN7NBOXEHFA}

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	2026-05-18T03:39:29.637379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41e361189ed53ad1a7b36fda175c872822a950465e86b77a85041b8f504be7b7

Aliases

arxiv: 0912.0308 · arxiv_version: 0912.0308v2 · doi: 10.48550/arxiv.0912.0308 · pith_short_12: IHRWCGE62U5N · pith_short_16: IHRWCGE62U5NDJ5T · pith_short_8: IHRWCGE6

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/IHRWCGE62U5NDJ5TN7NBOXEHFA \
  | 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: 41e361189ed53ad1a7b36fda175c872822a950465e86b77a85041b8f504be7b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7db4fb9faf7655b4e0ddd7d2a00ca72bb11296a2f8be6c8b296c8f33ae2d30ec",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-12-02T00:25:51Z",
    "title_canon_sha256": "fd6392a85c81c054b069675fc38b15ba9b908eed86e200a9504edb2f2944c6ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0308",
    "kind": "arxiv",
    "version": 2
  }
}