Pith Number

pith:GPYT3GVP

pith:2015:GPYT3GVPYOJYXKE7BGG2T5OGWI

not attested not anchored not stored refs pending

Examples of finite-dimensional Hopf algebras with the dual Chevalley property

C\'esar Galindo, Monique M\"uller, Nicol\'as Andruskiewitsch

arxiv:1509.01548 v2 · 2015-09-04 · 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{GPYT3GVPYOJYXKE7BGG2T5OGWI}

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	2026-05-18T01:02:21.206311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33f13d9aafc3938ba89f098da9f5c6b22dd84a17666fd470edbe961010249f61

Aliases

arxiv: 1509.01548 · arxiv_version: 1509.01548v2 · doi: 10.48550/arxiv.1509.01548 · pith_short_12: GPYT3GVPYOJY · pith_short_16: GPYT3GVPYOJYXKE7 · pith_short_8: GPYT3GVP

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/GPYT3GVPYOJYXKE7BGG2T5OGWI \
  | 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: 33f13d9aafc3938ba89f098da9f5c6b22dd84a17666fd470edbe961010249f61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc99dd712bd309ba05dee22ff86bc8279d14a1013f12280051734a1950f6c094",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-09-04T18:21:47Z",
    "title_canon_sha256": "b5b7fc0fee44c208a6129f8e3622fecb065ccbd9e345f020bf27cf68bfcab8b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01548",
    "kind": "arxiv",
    "version": 2
  }
}