Pith Number

pith:WYWR2I6X

pith:2021:WYWR2I6XN7MG2TVUDNSXJGZHOF

not attested not anchored not stored refs pending

Skew Schur polynomials and cyclic sieving phenomenon

So-Yeon Lee, Young-Tak Oh

arxiv:2112.12394 v3 · 2021-12-23 · 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{WYWR2I6XN7MG2TVUDNSXJGZHOF}

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.

Cited by

1 paper in Pith

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair

Receipt and verification

First computed	2026-07-05T04:59:58.388619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b62d1d23d76fd86d4eb41b65749b27714f8f3d1ad41c6d8be03a8264860bbb73

Aliases

arxiv: 2112.12394 · arxiv_version: 2112.12394v3 · doi: 10.48550/arxiv.2112.12394 · pith_short_12: WYWR2I6XN7MG · pith_short_16: WYWR2I6XN7MG2TVU · pith_short_8: WYWR2I6X

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/WYWR2I6XN7MG2TVUDNSXJGZHOF \
  | 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: b62d1d23d76fd86d4eb41b65749b27714f8f3d1ad41c6d8be03a8264860bbb73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc5a3e82ede390a84ef1aec1f17ba83eabc034fb2a836d5b5776de1e2b1f3859",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-12-23T07:36:54Z",
    "title_canon_sha256": "949ccb66df472e6dd171cae049d5ecf5f8d0212ff2a6cf4f2f47cab1d015a9a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.12394",
    "kind": "arxiv",
    "version": 3
  }
}