Pith Number

pith:5XLZMQDU

pith:2014:5XLZMQDUH5E7QKL5BYOQSB5H4D

not attested not anchored not stored refs pending

Twisted Exponents and Twisted Frobenius-Schur Indicators for Hopf Algebras

Daniel S. Sage, Maria D. Vega

arxiv:1402.5201 v2 · 2014-02-21 · 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{5XLZMQDUH5E7QKL5BYOQSB5H4D}

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	2026-05-18T00:53:40.828534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edd79640743f49f8297d0e1d0907a7e0ea53254b4fb0e701391965e25044f7f1

Aliases

arxiv: 1402.5201 · arxiv_version: 1402.5201v2 · doi: 10.48550/arxiv.1402.5201 · pith_short_12: 5XLZMQDUH5E7 · pith_short_16: 5XLZMQDUH5E7QKL5 · pith_short_8: 5XLZMQDU

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/5XLZMQDUH5E7QKL5BYOQSB5H4D \
  | 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: edd79640743f49f8297d0e1d0907a7e0ea53254b4fb0e701391965e25044f7f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a51e61efab5e1abf506f861fbb73f25d0f5424a6f80f9692445925195d9dc8a",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-02-21T04:05:07Z",
    "title_canon_sha256": "0330110ebdf9d89f807373b34d53290dd6d7740ca529839f0d0143b580c5c739"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5201",
    "kind": "arxiv",
    "version": 2
  }
}