Pith Number

pith:WWW74Y2X

pith:2014:WWW74Y2XXT6MAXIT7R3DUYVDL2

not attested not anchored not stored refs pending

A new proof of a formula for the type $A_2$ fusion rules

Amy Barker, David Swinarski, John Wu, Lauren Vogelstein

arxiv:1408.4353 v1 · 2014-08-19 · 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{WWW74Y2XXT6MAXIT7R3DUYVDL2}

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	2026-05-18T01:42:17.305543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5adfe6357bcfcc05d13fc763a62a35e938e691b094dc2d03fce7bfe1a8d71cc

Aliases

arxiv: 1408.4353 · arxiv_version: 1408.4353v1 · doi: 10.48550/arxiv.1408.4353 · pith_short_12: WWW74Y2XXT6M · pith_short_16: WWW74Y2XXT6MAXIT · pith_short_8: WWW74Y2X

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/WWW74Y2XXT6MAXIT7R3DUYVDL2 \
  | 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: b5adfe6357bcfcc05d13fc763a62a35e938e691b094dc2d03fce7bfe1a8d71cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe07a63f0980c30ec56b6d4cdf89714b733c20d697dfeaea866a63e899ac43d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-08-19T14:33:52Z",
    "title_canon_sha256": "dba1fa6449920796e4b3a12d03c8dcdd92c9a713874810146c7f7c583418bfdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4353",
    "kind": "arxiv",
    "version": 1
  }
}