Pith Number

pith:DSIWBQJG

pith:2011:DSIWBQJGDST7VBB4U4V4IKSH5W

not attested not anchored not stored refs pending

Foulkes Characters, Eulerian Idempotents, and an Amazing Matrix

Jason Fulman, Persi Diaconis

arxiv:1102.5159 v1 · 2011-02-25 · math.CO · 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{DSIWBQJGDST7VBB4U4V4IKSH5W}

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	2026-05-18T04:27:56.155594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c9160c1261ca7fa843ca72bc42a47ed837c231b6f5531261c1c8c2f375c4b1f

Aliases

arxiv: 1102.5159 · arxiv_version: 1102.5159v1 · doi: 10.48550/arxiv.1102.5159 · pith_short_12: DSIWBQJGDST7 · pith_short_16: DSIWBQJGDST7VBB4 · pith_short_8: DSIWBQJG

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/DSIWBQJGDST7VBB4U4V4IKSH5W \
  | 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: 1c9160c1261ca7fa843ca72bc42a47ed837c231b6f5531261c1c8c2f375c4b1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c71df695e8277e1e5e7293288c79b885378da8a1e8c92a3761b665164e6829e3",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-25T05:10:51Z",
    "title_canon_sha256": "e01cbba1561b55663ad5efd581fc793ad75fa0c27d6fce5728db12b8b2d286cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5159",
    "kind": "arxiv",
    "version": 1
  }
}