Pith Number

pith:CDNDQIJX

pith:2018:CDNDQIJX66K6KKWPBPXUTD3SOY

not attested not anchored not stored refs pending

The Probability Distribution of Word Maps on Finite Groups

Meng-Che "Turbo" Ho, William Cocke

arxiv:1807.07111 v1 · 2018-07-18 · 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{CDNDQIJX66K6KKWPBPXUTD3SOY}

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	2026-05-18T00:10:21.285806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10da382137f795e52acf0bef498f727613578df7e2bcbe64d2cd0f5b32b4b827

Aliases

arxiv: 1807.07111 · arxiv_version: 1807.07111v1 · doi: 10.48550/arxiv.1807.07111 · pith_short_12: CDNDQIJX66K6 · pith_short_16: CDNDQIJX66K6KKWP · pith_short_8: CDNDQIJX

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/CDNDQIJX66K6KKWPBPXUTD3SOY \
  | 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: 10da382137f795e52acf0bef498f727613578df7e2bcbe64d2cd0f5b32b4b827

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c352d6d7490f5c6eb863f1675c4331475b0af2552f51562ac9a9f74633301b59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-07-18T19:16:41Z",
    "title_canon_sha256": "4b8191a7f3ad153b3e9c4a5b1847f83109f1eb9bb6961cf278ae5234b324e7ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07111",
    "kind": "arxiv",
    "version": 1
  }
}