Pith Number

pith:XWM6IXYT

pith:2011:XWM6IXYT55NYYMOOWWW2345PX5

not attested not anchored not stored refs pending

Block characters of the symmetric groups

Alexander Gnedin, Sergei Kerov, Vadim Gorin

arxiv:1108.5044 v3 · 2011-08-25 · math.RT · 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{XWM6IXYT55NYYMOOWWW2345PX5}

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	2026-05-18T02:41:17.380138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd99e45f13ef5b8c31ceb5adadf3afbf42a711befe1254c055d3c027719592ac

Aliases

arxiv: 1108.5044 · arxiv_version: 1108.5044v3 · doi: 10.48550/arxiv.1108.5044 · pith_short_12: XWM6IXYT55NY · pith_short_16: XWM6IXYT55NYYMOO · pith_short_8: XWM6IXYT

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/XWM6IXYT55NYYMOOWWW2345PX5 \
  | 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: bd99e45f13ef5b8c31ceb5adadf3afbf42a711befe1254c055d3c027719592ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e8aab77ab3c0312860b88b3c3e32e3bde95c2417b7e2e9e882fad716dc0849c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-08-25T09:14:41Z",
    "title_canon_sha256": "0507472cda2b3f0ea90ec38b92e95ea58c7a9f4eca05ea3f9f6e8be3b102ef98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5044",
    "kind": "arxiv",
    "version": 3
  }
}