Pith Number

pith:5WBYZCYO

pith:2011:5WBYZCYO7JR5ZC7OMR5VFHNJNP

not attested not anchored not stored refs pending

Embedding permutation groups into wreath products in product action

Cheryl E. Praeger, Csaba Schneider

arxiv:1108.3611 v1 · 2011-08-18 · 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{5WBYZCYO7JR5ZC7OMR5VFHNJNP}

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	2026-05-18T04:15:15.815729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed838c8b0efa63dc8bee647b529da96bf7e3fe714794df94b5581dacdf2bf5a3

Aliases

arxiv: 1108.3611 · arxiv_version: 1108.3611v1 · doi: 10.48550/arxiv.1108.3611 · pith_short_12: 5WBYZCYO7JR5 · pith_short_16: 5WBYZCYO7JR5ZC7O · pith_short_8: 5WBYZCYO

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/5WBYZCYO7JR5ZC7OMR5VFHNJNP \
  | 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: ed838c8b0efa63dc8bee647b529da96bf7e3fe714794df94b5581dacdf2bf5a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97c7e6cfbe3a62671401c83e0b75ade7423921f13461f8ed05000ba13ef1dd20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-08-18T03:02:41Z",
    "title_canon_sha256": "6d64c0db8be9eb45968d8cf392d9da1e571f0f732190845a1165358eb08a8d96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3611",
    "kind": "arxiv",
    "version": 1
  }
}