Pith Number

pith:CGEGQJR3

pith:2011:CGEGQJR35CGSYHUCQDJQIZ3UJ3

not attested not anchored not stored refs pending

Infinite symmetric group and combinatorial descriptions of semigroups of double cosets

Yury A. Neretin

arxiv:1106.1161 v1 · 2011-06-06 · math.RT · math.CO · 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{CGEGQJR35CGSYHUCQDJQIZ3UJ3}

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	2026-05-18T00:25:29.733822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

118868263be88d2c1e8280d30467744efd5bc0bf467217c95c2bc92f7b0bf9bb

Aliases

arxiv: 1106.1161 · arxiv_version: 1106.1161v1 · doi: 10.48550/arxiv.1106.1161 · pith_short_12: CGEGQJR35CGS · pith_short_16: CGEGQJR35CGSYHUC · pith_short_8: CGEGQJR3

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/CGEGQJR35CGSYHUCQDJQIZ3UJ3 \
  | 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: 118868263be88d2c1e8280d30467744efd5bc0bf467217c95c2bc92f7b0bf9bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "778b876adff9dcaab720c88fe0472b15ff36f9072665ffcc9c5d92e2480c36a8",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-06-06T19:36:09Z",
    "title_canon_sha256": "5bc0d4f4dda9229678ec361e241439dea0bba18cd166835941e11fa1c6ad73d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1161",
    "kind": "arxiv",
    "version": 1
  }
}