Pith Number

pith:4NCAGYPJ

pith:2009:4NCAGYPJI6H3SAG5DEF6A3ISVB

not attested not anchored not stored refs pending

A 2-basic set of the alternating group

Jean-Baptiste Gramain, Olivier Brunat

arxiv:0902.3845 v2 · 2009-02-23 · math.RT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4NCAGYPJI6H3SAG5DEF6A3ISVB}

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	2026-05-18T04:39:18.442880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3440361e9478fb900dd190be06d12a87c82a54e6925cb851eff1fdb64cb85fc

Aliases

arxiv: 0902.3845 · arxiv_version: 0902.3845v2 · doi: 10.48550/arxiv.0902.3845 · pith_short_12: 4NCAGYPJI6H3 · pith_short_16: 4NCAGYPJI6H3SAG5 · pith_short_8: 4NCAGYPJ

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/4NCAGYPJI6H3SAG5DEF6A3ISVB \
  | 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: e3440361e9478fb900dd190be06d12a87c82a54e6925cb851eff1fdb64cb85fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da008a1ff21e19118eb0cf986def2b88599d033eb334b4258228d35563028149",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-02-23T07:32:32Z",
    "title_canon_sha256": "b3acf405d450a5d278bee5277c61a90fd222b2837bd2067f5b09e96c1c607afa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3845",
    "kind": "arxiv",
    "version": 2
  }
}