Pith Number

pith:T3S545VV

pith:2013:T3S545VVHB45GBLDIWEZ4LSFEL

not attested not anchored not stored refs pending

Maximal finite subgroups and minimal classes

Gabriele Nebe, Renaud Coulangeon

arxiv:1304.2597 v2 · 2013-04-09 · math.NT · 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{T3S545VVHB45GBLDIWEZ4LSFEL}

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	2026-05-18T03:04:49.436352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ee5de76b53879d3056345899e2e4522df89bb09a11cf611ae7d7e3fb87a8215

Aliases

arxiv: 1304.2597 · arxiv_version: 1304.2597v2 · doi: 10.48550/arxiv.1304.2597 · pith_short_12: T3S545VVHB45 · pith_short_16: T3S545VVHB45GBLD · pith_short_8: T3S545VV

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/T3S545VVHB45GBLDIWEZ4LSFEL \
  | 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: 9ee5de76b53879d3056345899e2e4522df89bb09a11cf611ae7d7e3fb87a8215

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97d0f5349ca2d2298cc07cd7695b20d06a04bb9bde75f9388d4fe9c985e9689e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-09T14:02:20Z",
    "title_canon_sha256": "5c88fde3ab8c49e4c9f3d4f907a0d56c71d26ddd843e4c777d88bee6a0a60993"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2597",
    "kind": "arxiv",
    "version": 2
  }
}