Pith Number

pith:ABUEGG2F

pith:2017:ABUEGG2FNUIJCPFZIBWNXYZHVI

not attested not anchored not stored refs pending

Autocommuting probability of a finite group relative to its subgroups

Parama Dutta, Rajat Kanti Nath

arxiv:1702.03150 v1 · 2017-02-10 · 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{ABUEGG2FNUIJCPFZIBWNXYZHVI}

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	2026-05-18T00:50:58.571209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0068431b456d10913cb9406cdbe327aa06b6ae76e48043d1b68b7c89874f4179

Aliases

arxiv: 1702.03150 · arxiv_version: 1702.03150v1 · doi: 10.48550/arxiv.1702.03150 · pith_short_12: ABUEGG2FNUIJ · pith_short_16: ABUEGG2FNUIJCPFZ · pith_short_8: ABUEGG2F

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/ABUEGG2FNUIJCPFZIBWNXYZHVI \
  | 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: 0068431b456d10913cb9406cdbe327aa06b6ae76e48043d1b68b7c89874f4179

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e32ac0bbd535b19a874cc1e98a6033282d068dd2eb11e384cd635092347fe604",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-02-10T12:40:15Z",
    "title_canon_sha256": "5d9baba3c062208378c6d36e80735246854fc562b2d63c46b1c719cae17871bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03150",
    "kind": "arxiv",
    "version": 1
  }
}