Pith Number

pith:PFKMLST6

pith:2018:PFKMLST6H2AGDGVWCKBNZ5KQ5G

not attested not anchored not stored refs pending

Finite-dimensional Hopf algebras over the smallest non-pointed basic Hopf algebra

Rongchuan Xiong

arxiv:1801.06205 v3 · 2018-01-18 · 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{PFKMLST6H2AGDGVWCKBNZ5KQ5G}

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	2026-05-18T00:15:58.057433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7954c5ca7e3e80619ab61282dcf550e981037aafce0027b57c9efb957c935565

Aliases

arxiv: 1801.06205 · arxiv_version: 1801.06205v3 · doi: 10.48550/arxiv.1801.06205 · pith_short_12: PFKMLST6H2AG · pith_short_16: PFKMLST6H2AGDGVW · pith_short_8: PFKMLST6

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/PFKMLST6H2AGDGVWCKBNZ5KQ5G \
  | 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: 7954c5ca7e3e80619ab61282dcf550e981037aafce0027b57c9efb957c935565

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b46ff512f9e62175a5347229e7cbbd36461b43bc5f74565d724f575a35789c31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-01-18T19:18:20Z",
    "title_canon_sha256": "88253a2a8a711a5a1dbe7981f09ece21ed2fdb1e945abf3f633684978c562450"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06205",
    "kind": "arxiv",
    "version": 3
  }
}