Pith Number

pith:54Z5CYOD

pith:2016:54Z5CYODQOHLWBW2G4KPOO4LOB

not attested not anchored not stored refs pending

Quadratic Capelli operators and Okounkov polynomials

Hadi Salmasian, Siddhartha Sahi

arxiv:1609.00939 v2 · 2016-09-04 · 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{54Z5CYODQOHLWBW2G4KPOO4LOB}

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	2026-05-18T00:25:34.837665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef33d161c3838ebb06da3714f73b8b705c28ecf511d334e8e57d39cdd2dfc487

Aliases

arxiv: 1609.00939 · arxiv_version: 1609.00939v2 · doi: 10.48550/arxiv.1609.00939 · pith_short_12: 54Z5CYODQOHL · pith_short_16: 54Z5CYODQOHLWBW2 · pith_short_8: 54Z5CYOD

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/54Z5CYODQOHLWBW2G4KPOO4LOB \
  | 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: ef33d161c3838ebb06da3714f73b8b705c28ecf511d334e8e57d39cdd2dfc487

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a983296bc8978d8abaed65babdba78462fba085a4574de85fba11974cde026b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-09-04T14:30:16Z",
    "title_canon_sha256": "b28f74c034e666fa00616bc4412b026753abecbd5f595d5c1a4da4331a383cb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00939",
    "kind": "arxiv",
    "version": 2
  }
}