Pith Number

pith:M3NDN2WO

pith:2013:M3NDN2WOEHFIO4PA64G3H2VXEI

not attested not anchored not stored refs pending

Hopf Algebras, Distributive (Laplace) Pairings and Hash Products: A unified approach to tensor product decompositions of group characters

Bertfried Fauser, Peter D. Jarvis, Ronald C. King

arxiv:1302.1689 v1 · 2013-02-07 · 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{M3NDN2WOEHFIO4PA64G3H2VXEI}

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	2026-05-18T01:51:49.462242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66da36eace21ca8771e0f70db3eab7223d2ad83cde7b5d8cf5420628638c25fa

Aliases

arxiv: 1302.1689 · arxiv_version: 1302.1689v1 · doi: 10.48550/arxiv.1302.1689 · pith_short_12: M3NDN2WOEHFI · pith_short_16: M3NDN2WOEHFIO4PA · pith_short_8: M3NDN2WO

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/M3NDN2WOEHFIO4PA64G3H2VXEI \
  | 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: 66da36eace21ca8771e0f70db3eab7223d2ad83cde7b5d8cf5420628638c25fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "259874af1f8481ce1866df43aa795073bc47cebe6d425004d169524263eff3d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-02-07T10:12:35Z",
    "title_canon_sha256": "68898979e64aea3d5fe65fdb24c56a93add21c7b0afc56a53fee5e7b453636d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1689",
    "kind": "arxiv",
    "version": 1
  }
}