Pith Number

pith:24XSWYZD

pith:2017:24XSWYZDPJETQ6AOBYM6ZVXRHN

not attested not anchored not stored refs pending

Nilpotency and the number of word maps of a finite group

Alexander Bors

arxiv:1704.08214 v1 · 2017-04-26 · 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{24XSWYZDPJETQ6AOBYM6ZVXRHN}

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	2026-05-18T00:45:30.910282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d72f2b63237a4938780e0e19ecd6f13b4a1fa953c2de148376defb6ce55478ab

Aliases

arxiv: 1704.08214 · arxiv_version: 1704.08214v1 · doi: 10.48550/arxiv.1704.08214 · pith_short_12: 24XSWYZDPJET · pith_short_16: 24XSWYZDPJETQ6AO · pith_short_8: 24XSWYZD

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/24XSWYZDPJETQ6AOBYM6ZVXRHN \
  | 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: d72f2b63237a4938780e0e19ecd6f13b4a1fa953c2de148376defb6ce55478ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c793288522d721de6bf386ca28200b1181948516a0305b61e82a1b4467e6afa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-04-26T16:56:47Z",
    "title_canon_sha256": "ba01952a02e9b409207cea133092f14993710e7c49da15f473e5624444759434"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.08214",
    "kind": "arxiv",
    "version": 1
  }
}