Pith Number

pith:YAKQ7IUB

pith:2018:YAKQ7IUBQ4HN3QKVB2UPMK2TXC

not attested not anchored not stored refs pending

On the probability distribution associated to commutator word map in finite groups \rom{2}

Tushar Kanta Naik

arxiv:1805.00091 v2 · 2018-04-30 · 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{YAKQ7IUBQ4HN3QKVB2UPMK2TXC}

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	2026-05-18T00:05:04.974666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0150fa281870eddc1550ea8f62b53b8bba48b425222b39ef914562af774449a

Aliases

arxiv: 1805.00091 · arxiv_version: 1805.00091v2 · doi: 10.48550/arxiv.1805.00091 · pith_short_12: YAKQ7IUBQ4HN · pith_short_16: YAKQ7IUBQ4HN3QKV · pith_short_8: YAKQ7IUB

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/YAKQ7IUBQ4HN3QKVB2UPMK2TXC \
  | 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: c0150fa281870eddc1550ea8f62b53b8bba48b425222b39ef914562af774449a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17cccb0bff347fa51ba7ad20e7e1f187104ca9b777ef93d225659ceaf7e81adf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-04-30T20:47:30Z",
    "title_canon_sha256": "a0b6d63b3be4df61748f0662f365d14d1f7cd434ba8fc776e372c4d16dddf68f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.00091",
    "kind": "arxiv",
    "version": 2
  }
}