Pith Number

pith:OWKM7PPJ

pith:2012:OWKM7PPJZU2C2Z7R3FIFUBWL35

not attested not anchored not stored refs pending

Addendum: Virtually Free pro-$p$ groups whose Torsion Elements have finite Centralizer

Pavel A. Zalesskii, Wolfgang Herfort

arxiv:1204.6386 v1 · 2012-04-28 · 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{OWKM7PPJZU2C2Z7R3FIFUBWL35}

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	2026-05-18T03:56:45.713151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7594cfbde9cd342d67f1d9505a06cbdf7e85a5735e5342027560045b725fb77f

Aliases

arxiv: 1204.6386 · arxiv_version: 1204.6386v1 · doi: 10.48550/arxiv.1204.6386 · pith_short_12: OWKM7PPJZU2C · pith_short_16: OWKM7PPJZU2C2Z7R · pith_short_8: OWKM7PPJ

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/OWKM7PPJZU2C2Z7R3FIFUBWL35 \
  | 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: 7594cfbde9cd342d67f1d9505a06cbdf7e85a5735e5342027560045b725fb77f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2863973cac225fa59904050c192539dd53311d26e84cf33823fbaf83f7caafa1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-04-28T09:09:03Z",
    "title_canon_sha256": "79c27e063ba7cf31dc0d01104b5c7a0536723079d8e1313200179a83069d93a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6386",
    "kind": "arxiv",
    "version": 1
  }
}