Pith Number

pith:65WO7NRT

pith:2011:65WO7NRTV3DSOMGO4SKCCMUD7W

not attested not anchored not stored refs pending

Positive laws on generators in powerful pro-p groups

Cristina Acciarri, Gustavo A. Fern\'andez-Alcober

arxiv:1108.0547 v1 · 2011-08-02 · 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{65WO7NRTV3DSOMGO4SKCCMUD7W}

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	2026-05-18T04:16:30.222417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f76cefb633aec72730cee494213283fd86da239d09a723f044ea5815833ea220

Aliases

arxiv: 1108.0547 · arxiv_version: 1108.0547v1 · doi: 10.48550/arxiv.1108.0547 · pith_short_12: 65WO7NRTV3DS · pith_short_16: 65WO7NRTV3DSOMGO · pith_short_8: 65WO7NRT

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/65WO7NRTV3DSOMGO4SKCCMUD7W \
  | 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: f76cefb633aec72730cee494213283fd86da239d09a723f044ea5815833ea220

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ea179b9fa948022aead6866a8c8e0617674c905bdea28bc97422405d1f4aa66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-08-02T11:40:37Z",
    "title_canon_sha256": "2aefb60290ea39ba1e0ea8380fe924f1ee052ee4c663cc79881e392f5bcc796d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0547",
    "kind": "arxiv",
    "version": 1
  }
}