Pith Number

pith:6P6OST4P

pith:2015:6P6OST4PH7HZDOMTSDFJTFINU3

not attested not anchored not stored refs pending

Uncountably many $2$-generated just-infinite branch pro-$2$ groups

Mustafa G\"okhan Benli, Rostislav Grigorchuk

arxiv:1503.06015 v1 · 2015-03-20 · 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{6P6OST4PH7HZDOMTSDFJTFINU3}

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	2026-05-18T02:20:48.916540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3fce94f8f3fcf91b99390ca99950da6dfaae7abbb0df609f126a86532663013

Aliases

arxiv: 1503.06015 · arxiv_version: 1503.06015v1 · doi: 10.48550/arxiv.1503.06015 · pith_short_12: 6P6OST4PH7HZ · pith_short_16: 6P6OST4PH7HZDOMT · pith_short_8: 6P6OST4P

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/6P6OST4PH7HZDOMTSDFJTFINU3 \
  | 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: f3fce94f8f3fcf91b99390ca99950da6dfaae7abbb0df609f126a86532663013

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed52dc280dec658e8ec66a389092bf1cc5f8a65efd9fbdf37052ed42af0dc08c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-03-20T08:19:02Z",
    "title_canon_sha256": "5e64497ecadfc568ba08783ab5f55874d31de6c287c1287401edb83fd11915c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06015",
    "kind": "arxiv",
    "version": 1
  }
}