Pith Number

pith:2F2RNJ3X

pith:2019:2F2RNJ3XMKUGZZLILAW6RNVR4U

not attested not anchored not stored refs pending

Demazure crystals for specialized nonsymmetric Macdonald polynomials

Nicolle Gonzalez, Sami Assaf

arxiv:1901.07520 v2 · 2019-01-22 · 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{2F2RNJ3XMKUGZZLILAW6RNVR4U}

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

A Pieri rule for Demazure characters of the general linear group

Receipt and verification

First computed	2026-05-17T23:53:04.180916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d17516a77762a86ce568582de8b6b1e50ed01a999c3aed91d8d6763c329a352a

Aliases

arxiv: 1901.07520 · arxiv_version: 1901.07520v2 · doi: 10.48550/arxiv.1901.07520 · pith_short_12: 2F2RNJ3XMKUG · pith_short_16: 2F2RNJ3XMKUGZZLI · pith_short_8: 2F2RNJ3X

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/2F2RNJ3XMKUGZZLILAW6RNVR4U \
  | 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: d17516a77762a86ce568582de8b6b1e50ed01a999c3aed91d8d6763c329a352a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18169bbdc421ea66174f7249603820dfedf899934435755cf3c9030ea79d0c1a",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-22T18:51:57Z",
    "title_canon_sha256": "7136261a95636af473335eda5a50689bc1ecfc9820e3f1b11f0b45116cd869a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07520",
    "kind": "arxiv",
    "version": 2
  }
}