Pith Number

pith:LSTWYWYI

pith:2011:LSTWYWYISLTAYDBBCSXO2MPMOP

not attested not anchored not stored refs pending

The probability that a pair of elements of a finite group are conjugate

John R. Britnell, Mark Wildon, Simon R. Blackburn

arxiv:1108.1784 v2 · 2011-08-08 · math.GR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LSTWYWYISLTAYDBBCSXO2MPMOP}

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	2026-05-18T02:58:00.671148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ca76c5b0892e60c0c2114aeed31ec73ef57238fdd7cfb0abcd73f5a54e4fc6d

Aliases

arxiv: 1108.1784 · arxiv_version: 1108.1784v2 · doi: 10.48550/arxiv.1108.1784 · pith_short_12: LSTWYWYISLTA · pith_short_16: LSTWYWYISLTAYDBB · pith_short_8: LSTWYWYI

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/LSTWYWYISLTAYDBBCSXO2MPMOP \
  | 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: 5ca76c5b0892e60c0c2114aeed31ec73ef57238fdd7cfb0abcd73f5a54e4fc6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18d5023501b0f52e82cead0100068e9dc48d4e54367da1a567acec94e37d6452",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-08-08T19:24:51Z",
    "title_canon_sha256": "d8a3b6555b8cf2a8f62f6ff350d0f38bf25de9c1dc410543c58b18159d3aad5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1784",
    "kind": "arxiv",
    "version": 2
  }
}