Pith Number

pith:G2BL77AW

pith:2015:G2BL77AWPCMUQU4FVZ3QT2XQIX

not attested not anchored not stored refs pending

A Jordan-H\" older theorem for weakly group-theoretical fusion categories

Sonia Natale

arxiv:1506.00250 v2 · 2015-05-31 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G2BL77AWPCMUQU4FVZ3QT2XQIX}

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	2026-05-18T01:24:24.812476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3682bffc167899485385ae7709eaf045f8990c5cb8d439fbd1351ec3e4f9db12

Aliases

arxiv: 1506.00250 · arxiv_version: 1506.00250v2 · doi: 10.48550/arxiv.1506.00250 · pith_short_12: G2BL77AWPCMU · pith_short_16: G2BL77AWPCMUQU4F · pith_short_8: G2BL77AW

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/G2BL77AWPCMUQU4FVZ3QT2XQIX \
  | 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: 3682bffc167899485385ae7709eaf045f8990c5cb8d439fbd1351ec3e4f9db12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c796ba5572f15d68d8a51367147b0debd6e7aba30dbeff61e4b75a82cdd9d654",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-05-31T16:39:20Z",
    "title_canon_sha256": "2cf991a8ca663e3b6882491d4bf3eea5b8ace1fc35e707645331bee056589598"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00250",
    "kind": "arxiv",
    "version": 2
  }
}