Pith Number

pith:KQIHUXQP

pith:2010:KQIHUXQP4DXTYTXSTSQM5V2H2F

not attested not anchored not stored refs pending

A Pieri formula for Macdonald's spherical functions and polynomials

E. Emsiz, J. F. van Diejen

arxiv:1009.4482 v1 · 2010-09-22 · math.RT · 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{KQIHUXQP4DXTYTXSTSQM5V2H2F}

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	2026-05-18T04:13:05.725262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54107a5e0fe0ef3c4ef29ca0ced747d1762b4688384a751ba75e37e731d43fb0

Aliases

arxiv: 1009.4482 · arxiv_version: 1009.4482v1 · doi: 10.48550/arxiv.1009.4482 · pith_short_12: KQIHUXQP4DXT · pith_short_16: KQIHUXQP4DXTYTXS · pith_short_8: KQIHUXQP

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/KQIHUXQP4DXTYTXSTSQM5V2H2F \
  | 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: 54107a5e0fe0ef3c4ef29ca0ced747d1762b4688384a751ba75e37e731d43fb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d03a212495e9279a0ee05d0eaff5dea9a5b12c2bb393446426c99a4e7bf5a72d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-09-22T21:23:48Z",
    "title_canon_sha256": "141a4bab2eaf7283ab637105f7cf7cdb44665fe41e2fb3a39d4cf32ca8636d21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4482",
    "kind": "arxiv",
    "version": 1
  }
}