Pith Number

pith:24LTWSWO

pith:2019:24LTWSWO5GHXJ3BRXDX32EBLTB

not attested not anchored not stored refs pending

Visualizing the Support of Kostant's Weight Multiplicity Formula for the Rank Two Lie Algebras

Eduardo Torres Davila, Fabrice O. Ulysse, Gordon Rojas Kirby, Joseph Rennie, Juan Ramirez, Marissa Loving, Pamela E. Harris

arxiv:1908.08405 v1 · 2019-08-22 · 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{24LTWSWO5GHXJ3BRXDX32EBLTB}

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	2026-07-05T08:21:02.012627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7173b4acee98f74ec31b8efbd102b98508527b49264616b93dce0f6137cc4ee

Aliases

arxiv: 1908.08405 · arxiv_version: 1908.08405v1 · doi: 10.48550/arxiv.1908.08405 · pith_short_12: 24LTWSWO5GHX · pith_short_16: 24LTWSWO5GHXJ3BR · pith_short_8: 24LTWSWO

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/24LTWSWO5GHXJ3BRXDX32EBLTB \
  | 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: d7173b4acee98f74ec31b8efbd102b98508527b49264616b93dce0f6137cc4ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab9b63860f7782482f83dbd23c01244ffba81ab149bb1856c8c23f89682044ce",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-22T14:26:29Z",
    "title_canon_sha256": "19d6d075654304807b1a13dfae12e63145b70917450a423740e5bdd5f5250e31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08405",
    "kind": "arxiv",
    "version": 1
  }
}