Pith Number

pith:QCTEJA7N

pith:2016:QCTEJA7NBJDI3FTESYAAEVLQKV

not attested not anchored not stored refs pending

Kostka-Shoji polynomials and Lusztig's convolution diagram

Andrei Ionov, Michael Finkelberg

arxiv:1605.05806 v3 · 2016-05-19 · math.AG · 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{QCTEJA7NBJDI3FTESYAAEVLQKV}

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	2026-05-18T00:31:05.478722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80a64483ed0a468d966496000255705566855c43992221cb215a0360feaeceea

Aliases

arxiv: 1605.05806 · arxiv_version: 1605.05806v3 · doi: 10.48550/arxiv.1605.05806 · pith_short_12: QCTEJA7NBJDI · pith_short_16: QCTEJA7NBJDI3FTE · pith_short_8: QCTEJA7N

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/QCTEJA7NBJDI3FTESYAAEVLQKV \
  | 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: 80a64483ed0a468d966496000255705566855c43992221cb215a0360feaeceea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b3d205c696f1ee5fa05d54d23be331f68e6a83e4ecdb583995fed61dcb9a104",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-05-19T04:17:57Z",
    "title_canon_sha256": "e38281b4274415554e9e52cccea27ff2762778ec689dbd66aa578cc988b5a4b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05806",
    "kind": "arxiv",
    "version": 3
  }
}