Pith Number

pith:V2QS3Y47

pith:2011:V2QS3Y47ALSBYSPDWSHSVEX5PK

not attested not anchored not stored refs pending

Word-Induced Measures on Compact Groups

Gene S. Kopp, John D. Wiltshire-Gordon

arxiv:1102.4353 v1 · 2011-02-21 · math.GR · math.GN · math.PR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V2QS3Y47ALSBYSPDWSHSVEX5PK}

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	2026-05-18T04:28:09.161424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aea12de39f02e41c49e3b48f2a92fd7ab3784b9082525c3af0cd889c15d42ed2

Aliases

arxiv: 1102.4353 · arxiv_version: 1102.4353v1 · doi: 10.48550/arxiv.1102.4353 · pith_short_12: V2QS3Y47ALSB · pith_short_16: V2QS3Y47ALSBYSPD · pith_short_8: V2QS3Y47

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/V2QS3Y47ALSBYSPDWSHSVEX5PK \
  | 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: aea12de39f02e41c49e3b48f2a92fd7ab3784b9082525c3af0cd889c15d42ed2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "589bbef966658e1e5591a2861a2676f3a657e9e1d97d99023d977a4902e6a292",
    "cross_cats_sorted": [
      "math.GN",
      "math.PR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-02-21T21:38:56Z",
    "title_canon_sha256": "6dd41dd5995f26ee235097b6222da70ba636a17063c58707eaefced96741fc63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4353",
    "kind": "arxiv",
    "version": 1
  }
}