Pith Number

pith:WZ7QTWS3

pith:2014:WZ7QTWS3FR2E3DITWMFQV7NVDX

not attested not anchored not stored refs pending

Crystal graphs, Tokuyama's theorem, and the Gindikin--Karpelevic formula for G_2

Holley Friedlander, Louis Gaudet, Paul E. Gunnells

arxiv:1402.0411 v1 · 2014-02-03 · math.CO · 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{WZ7QTWS3FR2E3DITWMFQV7NVDX}

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	2026-05-18T03:00:15.385448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b67f09da5b2c744d8d13b30b0afdb51de2a57914ef95ca9d58a7eb05f631bf7c

Aliases

arxiv: 1402.0411 · arxiv_version: 1402.0411v1 · doi: 10.48550/arxiv.1402.0411 · pith_short_12: WZ7QTWS3FR2E · pith_short_16: WZ7QTWS3FR2E3DIT · pith_short_8: WZ7QTWS3

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/WZ7QTWS3FR2E3DITWMFQV7NVDX \
  | 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: b67f09da5b2c744d8d13b30b0afdb51de2a57914ef95ca9d58a7eb05f631bf7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e15ed5c203e357e8f01508b6a30fce4e03448d3500c22a05ff1a03c58afcfc03",
    "cross_cats_sorted": [
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-03T16:04:51Z",
    "title_canon_sha256": "a11f16b5585ae61e029210420cdf4fb0eb9c00b0c7e58c8fbc401ca346bd072f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0411",
    "kind": "arxiv",
    "version": 1
  }
}