Pith Number

pith:CCOQ6ITT

pith:2017:CCOQ6ITTHAADANYUQBG6Z4PSN2

not attested not anchored not stored refs pending

Autocommuting probability of a finite group

Parama Dutta, Rajat Kanti Nath

arxiv:1702.00561 v1 · 2017-02-02 · 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{CCOQ6ITTHAADANYUQBG6Z4PSN2}

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	2026-05-18T00:51:33.247147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

109d0f22733800303714804decf1f26e964d1755377092e85ac89b8192b9af5f

Aliases

arxiv: 1702.00561 · arxiv_version: 1702.00561v1 · doi: 10.48550/arxiv.1702.00561 · pith_short_12: CCOQ6ITTHAAD · pith_short_16: CCOQ6ITTHAADANYU · pith_short_8: CCOQ6ITT

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/CCOQ6ITTHAADANYUQBG6Z4PSN2 \
  | 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: 109d0f22733800303714804decf1f26e964d1755377092e85ac89b8192b9af5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e415d0f351c149b0f41107e84d0bd271b273cd99051e56bc4e0c404033c63c51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-02-02T07:35:04Z",
    "title_canon_sha256": "e63c4f8c2b5b7cddf43304c43b062942571668498212482c8479b889a2d95e6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00561",
    "kind": "arxiv",
    "version": 1
  }
}