Pith Number

pith:WVVHZGOE

pith:2015:WVVHZGOEE5CAEMBR2P4DZMUOJB

not attested not anchored not stored refs pending

The $q$-analog of Kostant's partition function and the highest root of the classical Lie algebras

Erik Insko, Mohamed Omar, Pamela E. Harris

arxiv:1508.07934 v2 · 2015-08-31 · 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{WVVHZGOEE5CAEMBR2P4DZMUOJB}

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	2026-05-18T01:32:43.314689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b56a7c99c42744023031d3f83cb28e486fe1e1bd7adbafbd7ed06b46d47007ea

Aliases

arxiv: 1508.07934 · arxiv_version: 1508.07934v2 · doi: 10.48550/arxiv.1508.07934 · pith_short_12: WVVHZGOEE5CA · pith_short_16: WVVHZGOEE5CAEMBR · pith_short_8: WVVHZGOE

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/WVVHZGOEE5CAEMBR2P4DZMUOJB \
  | 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: b56a7c99c42744023031d3f83cb28e486fe1e1bd7adbafbd7ed06b46d47007ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab5d1b4583f5e24ad90bd00c854b7361364014d85a706bafff599b6d8ca373a8",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-31T17:56:35Z",
    "title_canon_sha256": "814ab99626f726f528c3b2fe429be0b1b711c48e3aa8b952e1fab1a00504074b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07934",
    "kind": "arxiv",
    "version": 2
  }
}