Pith Number

pith:FV5W27YU

pith:2013:FV5W27YUDV37BIFTFEKN7V7SMU

not attested not anchored not stored refs pending

Polytope Expansion of Lie Characters and Applications

Mark A. Walton

arxiv:1311.3913 v1 · 2013-11-14 · math.RT · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FV5W27YUDV37BIFTFEKN7V7SMU}

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	2026-05-18T01:46:24.358488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d7b6d7f141d77f0a0b32914dfd7f2651be36ce48adb8748267f78a96e2d4839

Aliases

arxiv: 1311.3913 · arxiv_version: 1311.3913v1 · doi: 10.48550/arxiv.1311.3913 · pith_short_12: FV5W27YUDV37 · pith_short_16: FV5W27YUDV37BIFT · pith_short_8: FV5W27YU

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/FV5W27YUDV37BIFTFEKN7V7SMU \
  | 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: 2d7b6d7f141d77f0a0b32914dfd7f2651be36ce48adb8748267f78a96e2d4839

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2ee4c32ebe70c6c414e863a412b5500a57d65f145778ab1a663886228787afb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-11-14T18:10:46Z",
    "title_canon_sha256": "2423bb790071e812d866387af98bc7cf1d6b2394533370e40d8cfe3ab779b27e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3913",
    "kind": "arxiv",
    "version": 1
  }
}