Pith Number

pith:S4FKSN5R

pith:2013:S4FKSN5R2YNQBFDKXZ65CYQK4X

not attested not anchored not stored refs pending

McKay Centralizer Algebras

Georgia Benkart, Jeffrey M. Barnes, Tom Halverson

arxiv:1312.5254 v2 · 2013-12-18 · 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{S4FKSN5R2YNQBFDKXZ65CYQK4X}

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	2026-05-18T00:44:29.252381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

970aa937b1d61b00946abe7dd1620ae5f043398038b64943e93dc9dad3dd72e8

Aliases

arxiv: 1312.5254 · arxiv_version: 1312.5254v2 · doi: 10.48550/arxiv.1312.5254 · pith_short_12: S4FKSN5R2YNQ · pith_short_16: S4FKSN5R2YNQBFDK · pith_short_8: S4FKSN5R

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/S4FKSN5R2YNQBFDKXZ65CYQK4X \
  | 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: 970aa937b1d61b00946abe7dd1620ae5f043398038b64943e93dc9dad3dd72e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e54131b96d8ed2bab891d69b5389ed5665ec0a2d0c0bf94b4701b2aaf03454b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-12-18T18:18:44Z",
    "title_canon_sha256": "64d5e67378d4c0a59236af2b89198fbb2c53202e0218d80fbaf24be28ab732dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5254",
    "kind": "arxiv",
    "version": 2
  }
}