Pith Number

pith:2GPELQ4F

pith:2016:2GPELQ4FSEB2Z32DSSIK3LM6YK

not attested not anchored not stored refs pending

Whittaker functions and Demazure characters

Anna Pusk\'as, Cristian Lenart, Dinakar Muthiah, Dongwen Liu, Kyu-Hwan Lee

arxiv:1602.06451 v2 · 2016-02-20 · math.NT · 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{2GPELQ4FSEB2Z32DSSIK3LM6YK}

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	2026-05-18T01:18:56.950774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d19e45c3859103acef439490adad9ec29e2f10727637e74414802c04042c72a0

Aliases

arxiv: 1602.06451 · arxiv_version: 1602.06451v2 · doi: 10.48550/arxiv.1602.06451 · pith_short_12: 2GPELQ4FSEB2 · pith_short_16: 2GPELQ4FSEB2Z32D · pith_short_8: 2GPELQ4F

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/2GPELQ4FSEB2Z32DSSIK3LM6YK \
  | 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: d19e45c3859103acef439490adad9ec29e2f10727637e74414802c04042c72a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b778c8d61c778ed1d9c1f850d714453c4f8274dbf1b1501c475e6155ea006fe3",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-20T20:25:17Z",
    "title_canon_sha256": "a08949240c1532862852085227861277c91f856cf6481343fb73ff572a02cf13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06451",
    "kind": "arxiv",
    "version": 2
  }
}