Pith Number

pith:GHJWR67T

pith:2013:GHJWR67TTW3SNXYNXAOMIDCVXL

not attested not anchored not stored refs pending

Isomorphism classes of finite dimensional connected Hopf algebras in positive characteristic

Xingting Wang

arxiv:1310.7073 v3 · 2013-10-26 · 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{GHJWR67TTW3SNXYNXAOMIDCVXL}

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	2026-05-18T01:37:33.208180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31d368fbf39db726df0db81cc40c55bad1235799f960c688de344c1a0a6413ad

Aliases

arxiv: 1310.7073 · arxiv_version: 1310.7073v3 · doi: 10.48550/arxiv.1310.7073 · pith_short_12: GHJWR67TTW3S · pith_short_16: GHJWR67TTW3SNXYN · pith_short_8: GHJWR67T

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/GHJWR67TTW3SNXYNXAOMIDCVXL \
  | 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: 31d368fbf39db726df0db81cc40c55bad1235799f960c688de344c1a0a6413ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7f459374e95dd790664b3d52c0c5c0e39cb752d9ccaf45dafa11f8bd5986af9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-10-26T04:50:43Z",
    "title_canon_sha256": "319888c8533ee70a9a7451fad5fdf9fc78506824331b5826686f7a98dba10e7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7073",
    "kind": "arxiv",
    "version": 3
  }
}