Pith Number

pith:OOLZN2UH

pith:2025:OOLZN2UHBLSRTGTTT2J2LVKMHW

not attested not anchored not stored refs pending

Biproduct Quasi-Hopf Algebras of Rank 2

Daniel Bulacu, Matteo Misurati

arxiv:2508.00597 v1 · 2025-08-01 · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OOLZN2UHBLSRTGTTT2J2LVKMHW}

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	2026-07-05T11:46:58.748860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

739796ea870ae5199a739e93a5d54c3d9b3e0d6566fc2b2e35b21faf1693fe35

Aliases

arxiv: 2508.00597 · arxiv_version: 2508.00597v1 · doi: 10.48550/arxiv.2508.00597 · pith_short_12: OOLZN2UHBLSR · pith_short_16: OOLZN2UHBLSRTGTT · pith_short_8: OOLZN2UH

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/OOLZN2UHBLSRTGTTT2J2LVKMHW \
  | 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: 739796ea870ae5199a739e93a5d54c3d9b3e0d6566fc2b2e35b21faf1693fe35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5db221df35d0bb569dfa95ec71ac6b8c2963900e37ee90a2dd01c427c07573b9",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2025-08-01T12:52:10Z",
    "title_canon_sha256": "b160219fe8638be7549922757a82ee41d0491c2853b330539d5babbfd06e1836"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.00597",
    "kind": "arxiv",
    "version": 1
  }
}