Pith Number

pith:5XHT6JRQ

pith:2010:5XHT6JRQLBTJNG5FL3TZVKILDS

not attested not anchored not stored refs pending

Laguerre and Meixner symmetric functions, and infinite-dimensional diffusion processes

Grigori Olshanski

arxiv:1009.2037 v1 · 2010-09-10 · math.CO · math.PR · 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{5XHT6JRQLBTJNG5FL3TZVKILDS}

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	2026-05-18T03:32:08.244716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edcf3f26305866969ba55ee79aa90b1cabb0b1aa77799ba58b59691cc91c6cb9

Aliases

arxiv: 1009.2037 · arxiv_version: 1009.2037v1 · doi: 10.48550/arxiv.1009.2037 · pith_short_12: 5XHT6JRQLBTJ · pith_short_16: 5XHT6JRQLBTJNG5F · pith_short_8: 5XHT6JRQ

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/5XHT6JRQLBTJNG5FL3TZVKILDS \
  | 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: edcf3f26305866969ba55ee79aa90b1cabb0b1aa77799ba58b59691cc91c6cb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64cc3d381e9c83a2b49c6f3c7534a3e050abb07a6ed08d339c6e64e09c12e182",
    "cross_cats_sorted": [
      "math.PR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-10T15:41:09Z",
    "title_canon_sha256": "a0d82ce00eb8ffbfabe5d91e8a06e514faa82463518382ccd774c090010accf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2037",
    "kind": "arxiv",
    "version": 1
  }
}