Pith Number

pith:VXXMYVXB

pith:2014:VXXMYVXB7BZHPRDPPNYCDQF7ZC

not attested not anchored not stored refs pending

Jordan-H\"older theorem for finite dimensional Hopf algebras

Sonia Natale

arxiv:1407.0931 v1 · 2014-07-03 · 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{VXXMYVXB7BZHPRDPPNYCDQF7ZC}

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	2026-05-18T02:48:25.134984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adeecc56e1f87277c46f7b7021c0bfc8bab1ae16815f106148fe073222c7398d

Aliases

arxiv: 1407.0931 · arxiv_version: 1407.0931v1 · doi: 10.48550/arxiv.1407.0931 · pith_short_12: VXXMYVXB7BZH · pith_short_16: VXXMYVXB7BZHPRDP · pith_short_8: VXXMYVXB

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/VXXMYVXB7BZHPRDPPNYCDQF7ZC \
  | 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: adeecc56e1f87277c46f7b7021c0bfc8bab1ae16815f106148fe073222c7398d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fff1fc5c7dd92832c4684024e1337d304a507765ff5e1e0b6303a8e0dfd6f94",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-07-03T14:28:16Z",
    "title_canon_sha256": "feecab50187de3eeab9aabf06315120bde43f0b5c4796f2bbf3329e80b2ad385"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0931",
    "kind": "arxiv",
    "version": 1
  }
}