Pith Number

pith:SMCTT7HB

pith:2011:SMCTT7HBLUEGLHCQSLIQ5Q6CO2

not attested not anchored not stored refs pending

Laguerre and Meixner orthogonal bases in the algebra of symmetric functions

Grigori Olshanski

arxiv:1103.5848 v1 · 2011-03-30 · math.CO · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SMCTT7HBLUEGLHCQSLIQ5Q6CO2}

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	2026-05-18T03:32:08.165460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

930539fce15d08659c5092d10ec3c276bb20fa3d1bf144c7d3de2e5392366fa6

Aliases

arxiv: 1103.5848 · arxiv_version: 1103.5848v1 · doi: 10.48550/arxiv.1103.5848 · pith_short_12: SMCTT7HBLUEG · pith_short_16: SMCTT7HBLUEGLHCQ · pith_short_8: SMCTT7HB

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/SMCTT7HBLUEGLHCQSLIQ5Q6CO2 \
  | 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: 930539fce15d08659c5092d10ec3c276bb20fa3d1bf144c7d3de2e5392366fa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4504860abb2f574711077543cee67c59726129c68071404c08a6ad2cbd9b3c41",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-30T08:29:54Z",
    "title_canon_sha256": "18675a0788060c93bfe759d9f17f1f3826f4bbfaed5562bca0c749da055384b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5848",
    "kind": "arxiv",
    "version": 1
  }
}