Pith Number

pith:6XZHQQ2L

pith:2005:6XZHQQ2LJS4SUSWXLLAUDXDEFU

not attested not anchored not stored refs pending

Finitely presented wreath products and double coset decompositions

Yves de Cornulier

arxiv:math/0509090 v2 · 2005-09-05 · 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{6XZHQQ2LJS4SUSWXLLAUDXDEFU}

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	2026-05-18T04:42:36.334820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5f278434b4cb92a4ad75ac141dc642d175e052e948e2efb21c5e8322a4bca33

Aliases

arxiv: math/0509090 · arxiv_version: math/0509090v2 · doi: 10.48550/arxiv.math/0509090 · pith_short_12: 6XZHQQ2LJS4S · pith_short_16: 6XZHQQ2LJS4SUSWX · pith_short_8: 6XZHQQ2L

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/6XZHQQ2LJS4SUSWXLLAUDXDEFU \
  | 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: f5f278434b4cb92a4ad75ac141dc642d175e052e948e2efb21c5e8322a4bca33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a3ed5391e6c4376e363f0588fbab91de039087967f732fdde03429548ebac05",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2005-09-05T09:36:31Z",
    "title_canon_sha256": "cfaae1c67f8d664c4c5e4023c5d456a5be9333d58b3cfa72b551bda4efbf8173"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509090",
    "kind": "arxiv",
    "version": 2
  }
}