Pith Number

pith:FYLSHO5X

pith:2009:FYLSHO5XC6BH6YJEOEQVXAIHA3

not attested not anchored not stored refs pending

On the Notion of a Ribbon Quasi-Hopf Algebra

Yorck Sommerhaeuser

arxiv:0910.1638 v1 · 2009-10-09 · math.RA · 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{FYLSHO5XC6BH6YJEOEQVXAIHA3}

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	2026-05-18T04:41:44.080808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e1723bbb717827f612471215b810706d856f597ba3f0155a6c1d53fc20f41bb

Aliases

arxiv: 0910.1638 · arxiv_version: 0910.1638v1 · doi: 10.48550/arxiv.0910.1638 · pith_short_12: FYLSHO5XC6BH · pith_short_16: FYLSHO5XC6BH6YJE · pith_short_8: FYLSHO5X

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/FYLSHO5XC6BH6YJEOEQVXAIHA3 \
  | 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: 2e1723bbb717827f612471215b810706d856f597ba3f0155a6c1d53fc20f41bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "711fcb9a55b7cf309e5fd5f1ded3d03f1c6b2eac09a86b59166bbbad866598f4",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-10-09T00:51:57Z",
    "title_canon_sha256": "5ef4d25ae32fcc0f8695263c4b75e628c56cd3397db592b631cabee8974413ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1638",
    "kind": "arxiv",
    "version": 1
  }
}