Pith Number

pith:A4ZCD65Q

pith:2010:A4ZCD65QQZ7DBQGMWEEZJBOTWV

not attested not anchored not stored refs pending

The Chebotarev invariant of a finite group

David Zywina, Emmanuel Kowalski

arxiv:1008.4909 v1 · 2010-08-29 · math.GR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A4ZCD65QQZ7DBQGMWEEZJBOTWV}

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	2026-05-18T04:41:43.427799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

073221fbb0867e30c0ccb1099485d3b540b91378fa213734ec8ecb796311a732

Aliases

arxiv: 1008.4909 · arxiv_version: 1008.4909v1 · doi: 10.48550/arxiv.1008.4909 · pith_short_12: A4ZCD65QQZ7D · pith_short_16: A4ZCD65QQZ7DBQGM · pith_short_8: A4ZCD65Q

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/A4ZCD65QQZ7DBQGMWEEZJBOTWV \
  | 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: 073221fbb0867e30c0ccb1099485d3b540b91378fa213734ec8ecb796311a732

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf72ac6997c91710483a1e7de3361fe5ddac88a24ef866bddffaa713cb8fd73e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-08-29T08:49:27Z",
    "title_canon_sha256": "e9dc5cf233ed671366d9e54be953ad0700f4e4f171418d2a5df3c68d8c5289cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4909",
    "kind": "arxiv",
    "version": 1
  }
}