Pith Number

pith:N4PYPPIG

pith:2026:N4PYPPIGCUQQNOQBSICOW3T5OH

not attested not anchored not stored refs pending

On the first-order genus of wreath products and their central extensions

Alexei Miasnikov, Denis Osin, Olga Kharlampovich

arxiv:2603.15864 v3 · 2026-03-16 · 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{N4PYPPIGCUQQNOQBSICOW3T5OH}

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	2026-06-11T01:09:33.357973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f1f87bd06152106ba019204eb6e7d71dd244222ff10185d2944ee5e7a998310

Aliases

arxiv: 2603.15864 · arxiv_version: 2603.15864v3 · doi: 10.48550/arxiv.2603.15864 · pith_short_12: N4PYPPIGCUQQ · pith_short_16: N4PYPPIGCUQQNOQB · pith_short_8: N4PYPPIG

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/N4PYPPIGCUQQNOQBSICOW3T5OH \
  | 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: 6f1f87bd06152106ba019204eb6e7d71dd244222ff10185d2944ee5e7a998310

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9704ed9ce18c177142c978ff99c3770773d70b9475e3f662c24a5c463f4ee037",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-03-16T19:53:44Z",
    "title_canon_sha256": "7488fae094b3a78cd4ed3410443bbcc461933458b3ea6c919008b96c9bcd998c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.15864",
    "kind": "arxiv",
    "version": 3
  }
}