Pith Number

pith:Y2Q2ZV27

pith:2004:Y2Q2ZV274FPT7YEEZBPI67HFKI

not attested not anchored not stored refs pending

Inversion of the Pieri formula for Macdonald polynomials

Michael Schlosser, Michel Lassalle

arxiv:math/0402127 v1 · 2004-02-09 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y2Q2ZV274FPT7YEEZBPI67HFKI}

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	2026-05-17T23:53:03.250445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6a1acd75fe15f3fe084c85e8f7ce55215b329684d8d7981e4db79c890f78185

Aliases

arxiv: math/0402127 · arxiv_version: math/0402127v1 · doi: 10.48550/arxiv.math/0402127 · pith_short_12: Y2Q2ZV274FPT · pith_short_16: Y2Q2ZV274FPT7YEE · pith_short_8: Y2Q2ZV27

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/Y2Q2ZV274FPT7YEEZBPI67HFKI \
  | 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: c6a1acd75fe15f3fe084c85e8f7ce55215b329684d8d7981e4db79c890f78185

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "369942515bfcc4adfa01d314f040440b862aab2333f4354c82c393891685dc46",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2004-02-09T00:14:32Z",
    "title_canon_sha256": "d7008a1d0b74e348f0e085b25859effd5d9e69243872dd1cdc39fadb7ec94863"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0402127",
    "kind": "arxiv",
    "version": 1
  }
}