Pith Number

pith:GR3BYNPK

pith:2011:GR3BYNPKI2PALTP5RFRMVEC2YQ

not attested not anchored not stored refs pending

On sums of tensor and fusion multiplicities

Jean-Bernard Zuber, Robert Coquereaux

arxiv:1103.2943 v2 · 2011-03-15 · math-ph · hep-th · math.MP · math.QA · 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{GR3BYNPKI2PALTP5RFRMVEC2YQ}

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	2026-05-18T04:19:21.741123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34761c35ea469e05cdfd8962ca905ac42a6210284ab5f8ab1e11baf2e8838b0f

Aliases

arxiv: 1103.2943 · arxiv_version: 1103.2943v2 · doi: 10.48550/arxiv.1103.2943 · pith_short_12: GR3BYNPKI2PA · pith_short_16: GR3BYNPKI2PALTP5 · pith_short_8: GR3BYNPK

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/GR3BYNPKI2PALTP5RFRMVEC2YQ \
  | 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: 34761c35ea469e05cdfd8962ca905ac42a6210284ab5f8ab1e11baf2e8838b0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8214d14b83260f9ac8f4c5a00c0d2cfa246876a1bd6f507c4c99a76eb38eae41",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-03-15T15:43:40Z",
    "title_canon_sha256": "2186ed9c2df799d64c344ed4024afac27d86c2093d9e021ab751064ec45da61f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2943",
    "kind": "arxiv",
    "version": 2
  }
}