Pith Number

pith:RXA65LB2

pith:2011:RXA65LB2PKSMFDKHIRA65TT4HZ

not attested not anchored not stored refs pending

On finite groups acting on spheres and finite subgroups of orthogonal groups

Bruno P. Zimmermann

arxiv:1108.2602 v1 · 2011-08-12 · math.GT · 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{RXA65LB2PKSMFDKHIRA65TT4HZ}

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	2026-05-18T04:15:36.502026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dc1eeac3a7aa4c28d474441eece7c3e7cdcfc0a3d4804f17194429b99ce0204

Aliases

arxiv: 1108.2602 · arxiv_version: 1108.2602v1 · doi: 10.48550/arxiv.1108.2602 · pith_short_12: RXA65LB2PKSM · pith_short_16: RXA65LB2PKSMFDKH · pith_short_8: RXA65LB2

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/RXA65LB2PKSMFDKHIRA65TT4HZ \
  | 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: 8dc1eeac3a7aa4c28d474441eece7c3e7cdcfc0a3d4804f17194429b99ce0204

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f18ae59812cf1297749c045d0804d885bb16137899d43d620cbbbb558a33655",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-08-12T11:14:00Z",
    "title_canon_sha256": "9f7ee67cf6cea082d0ba986df5208a5ed78174e7ca854f7d56c7f8bb0e6db154"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2602",
    "kind": "arxiv",
    "version": 1
  }
}