Pith Number

pith:5HZQOHPH

pith:2013:5HZQOHPH6FN4CMR5HM7KMSSOWI

not attested not anchored not stored refs pending

Asymptotic Freeness of Jucys-Murphy element and a certain projection

Lech Jankowski

arxiv:1301.5489 v1 · 2013-01-23 · 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{5HZQOHPH6FN4CMR5HM7KMSSOWI}

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	2026-05-18T03:35:39.636419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9f3071de7f15bc1323d3b3ea64a4eb21701924dd9fa6ef4c22001552dc77557

Aliases

arxiv: 1301.5489 · arxiv_version: 1301.5489v1 · doi: 10.48550/arxiv.1301.5489 · pith_short_12: 5HZQOHPH6FN4 · pith_short_16: 5HZQOHPH6FN4CMR5 · pith_short_8: 5HZQOHPH

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/5HZQOHPH6FN4CMR5HM7KMSSOWI \
  | 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: e9f3071de7f15bc1323d3b3ea64a4eb21701924dd9fa6ef4c22001552dc77557

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f103b048cb525e4fa605350f0f741f7d78a1bc0be7bb9d3c6a999f0a1c726c61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-01-23T13:00:45Z",
    "title_canon_sha256": "92fa7bbedccdc20b9cbee362339e4c0c35eb03be0bd0ed452b02dc7cad2d21a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5489",
    "kind": "arxiv",
    "version": 1
  }
}