Pith Number

pith:6ZM75DIY

pith:2013:6ZM75DIYKYXVJGF7OUMBRTW5UI

not attested not anchored not stored refs pending

The adjoint representation of a Lie algebra and the support of Kostant's weight multiplicity formula

Erik Insko, Lauren Kelly Williams, Pamela E. Harris

arxiv:1401.0055 v1 · 2013-12-30 · math.RT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ZM75DIYKYXVJGF7OUMBRTW5UI}

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	2026-05-18T03:03:31.212807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f659fe8d18562f5498bf751818cedda221c37b71af21eb48d8a325c39f67548b

Aliases

arxiv: 1401.0055 · arxiv_version: 1401.0055v1 · doi: 10.48550/arxiv.1401.0055 · pith_short_12: 6ZM75DIYKYXV · pith_short_16: 6ZM75DIYKYXVJGF7 · pith_short_8: 6ZM75DIY

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/6ZM75DIYKYXVJGF7OUMBRTW5UI \
  | 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: f659fe8d18562f5498bf751818cedda221c37b71af21eb48d8a325c39f67548b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa20cbf5f9042ccc062a4fcef9c879e6acc506c31a2cbcb850ec9c6cc07aea58",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-12-30T23:45:16Z",
    "title_canon_sha256": "9a511bb5a7fd5f5db1ab257b8eadca8685784d0c56f425874ae99bbb8ced1c17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0055",
    "kind": "arxiv",
    "version": 1
  }
}