Pith Number

pith:ER4RBZHW

pith:2016:ER4RBZHWSFEIWAVR4YBYUBLNU7

not attested not anchored not stored refs pending

The Whitehead group of (almost) extra-special p-groups with p odd

Nadia Romero, Serge Bouc (LAMFA)

arxiv:1604.06306 v2 · 2016-04-21 · math.GR · math.AT · math.CT · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ER4RBZHWSFEIWAVR4YBYUBLNU7}

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	2026-05-18T00:20:52.586524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

247910e4f691488b02b1e6038a056da7cda874204639bb87a56936e9485a1177

Aliases

arxiv: 1604.06306 · arxiv_version: 1604.06306v2 · doi: 10.48550/arxiv.1604.06306 · pith_short_12: ER4RBZHWSFEI · pith_short_16: ER4RBZHWSFEIWAVR · pith_short_8: ER4RBZHW

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/ER4RBZHWSFEIWAVR4YBYUBLNU7 \
  | 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: 247910e4f691488b02b1e6038a056da7cda874204639bb87a56936e9485a1177

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb5676c871f87ed02ad0aeac69b1dd10b7ce32473fed20c1e032092d640099a6",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-04-21T13:45:14Z",
    "title_canon_sha256": "70770029d3b29e19d3ee1621bb6bbc0b73f65932c78c0fcbc058e00e97fdd124"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06306",
    "kind": "arxiv",
    "version": 2
  }
}