Pith Number

pith:QWHF7MEC

pith:2009:QWHF7MECVAUMQN7KOM2SMKHPAJ

not attested not anchored not stored refs pending

Anisotropic Young diagrams and infinite-dimensional diffusion processes with the Jack parameter

Grigori Olshanski

arxiv:0902.3395 v3 · 2009-02-19 · math.PR · 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{QWHF7MECVAUMQN7KOM2SMKHPAJ}

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	2026-05-18T03:32:08.334540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

858e5fb082a828c837ea73352628ef0251a9c23cfca61ad44cb413dd8c86caed

Aliases

arxiv: 0902.3395 · arxiv_version: 0902.3395v3 · doi: 10.48550/arxiv.0902.3395 · pith_short_12: QWHF7MECVAUM · pith_short_16: QWHF7MECVAUMQN7K · pith_short_8: QWHF7MEC

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/QWHF7MECVAUMQN7KOM2SMKHPAJ \
  | 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: 858e5fb082a828c837ea73352628ef0251a9c23cfca61ad44cb413dd8c86caed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b203266e07ca4a5154ee2bedd738d74ac4bdf3dab65da97759e4f1fafa13e414",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-02-19T15:47:05Z",
    "title_canon_sha256": "d1fe061d9cd7d8d6b6473c65d662155387b8102868083bceb1e6bc35b541183b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3395",
    "kind": "arxiv",
    "version": 3
  }
}