Pith Number

pith:672CYER7

pith:2014:672CYER74AP76OXIX2XXWHVPBF

not attested not anchored not stored refs pending

Some remarkable new Plethystic Operators in the Theory of Macdonald Polynomials

Adriano Garsia, Emily Leven, Francois Bergeron, Guoce Xin

arxiv:1405.0316 v1 · 2014-05-01 · math.CO · 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{672CYER74AP76OXIX2XXWHVPBF}

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	2026-05-18T02:52:48.240234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7f42c123fe01fff3ae8beaf7b1eaf0979f0bee6173ffa9299fdba7dc42bb29b

Aliases

arxiv: 1405.0316 · arxiv_version: 1405.0316v1 · doi: 10.48550/arxiv.1405.0316 · pith_short_12: 672CYER74AP7 · pith_short_16: 672CYER74AP76OXI · pith_short_8: 672CYER7

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/672CYER74AP76OXIX2XXWHVPBF \
  | 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: f7f42c123fe01fff3ae8beaf7b1eaf0979f0bee6173ffa9299fdba7dc42bb29b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a404d70b3a6e2547cb9073e320a811898e7399697a882e76a25b67610887af4",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-01T21:58:41Z",
    "title_canon_sha256": "7fa42fa8fbd96fe27273f51923e78a8954ed2b760e6883472b49e198993d3182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0316",
    "kind": "arxiv",
    "version": 1
  }
}