Pith Number

pith:EWTKHEI5

pith:2018:EWTKHEI5DFKVMKZYGPZEIPNI32

not attested not anchored not stored refs pending

Infinite periodic groups of even exponents

R\'emi Coulon (IRMAR)

arxiv:1810.08372 v4 · 2018-10-19 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EWTKHEI5DFKVMKZYGPZEIPNI32}

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.

Cited by

1 paper in Pith

On the growth spectrum of hyperbolic groups

Receipt and verification

First computed	2026-07-05T02:06:46.904327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25a6a3911d1955562b3833f2443da8deba07982f5f46b520a2db5db3d39e1540

Aliases

arxiv: 1810.08372 · arxiv_version: 1810.08372v4 · doi: 10.48550/arxiv.1810.08372 · pith_short_12: EWTKHEI5DFKV · pith_short_16: EWTKHEI5DFKVMKZY · pith_short_8: EWTKHEI5

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/EWTKHEI5DFKVMKZYGPZEIPNI32 \
  | 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: 25a6a3911d1955562b3833f2443da8deba07982f5f46b520a2db5db3d39e1540

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe12954b3acfa303004ca00fe484053912b7ebefd2be1ba822abadfe4f6b3c42",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-10-19T07:08:18Z",
    "title_canon_sha256": "9fe51ff532de10a357ddc03391b796af5e3c85464869bd78765fb62dd86fd438"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08372",
    "kind": "arxiv",
    "version": 4
  }
}