Pith Number

pith:KAT4EHJU

pith:2018:KAT4EHJUDHSXQNVGTETL7QGPN5

not attested not anchored not stored refs pending

On sovereign, balanced and ribbon quasi-Hopf algebras

Blas Torrecillas, Daniel Bulacu

arxiv:1811.11628 v1 · 2018-11-28 · 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{KAT4EHJUDHSXQNVGTETL7QGPN5}

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	2026-05-17T23:59:40.484667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5027c21d3419e57836a69926bfc0cf6f5315755ed8633b4612021a4f3025fc59

Aliases

arxiv: 1811.11628 · arxiv_version: 1811.11628v1 · doi: 10.48550/arxiv.1811.11628 · pith_short_12: KAT4EHJUDHSX · pith_short_16: KAT4EHJUDHSXQNVG · pith_short_8: KAT4EHJU

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/KAT4EHJUDHSXQNVGTETL7QGPN5 \
  | 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: 5027c21d3419e57836a69926bfc0cf6f5315755ed8633b4612021a4f3025fc59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbc78773e4665220e018300d7f0136f7eee743078759b59035639489bf62105a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-11-28T15:28:45Z",
    "title_canon_sha256": "7e789a84ad86662a20c080f45b430803472135eaea59d8a80da89a2559bfd2bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.11628",
    "kind": "arxiv",
    "version": 1
  }
}