Pith Number

pith:M7NE7OKL

pith:2012:M7NE7OKLS5NIXTJZ3RG7VRMMOF

not attested not anchored not stored refs pending

Classifying coalgebra split extensions of Hopf algebras

A. L. Agore, C. G. Bontea, G. Militaru

arxiv:1207.0411 v4 · 2012-07-02 · 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{M7NE7OKLS5NIXTJZ3RG7VRMMOF}

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	2026-05-18T02:58:23.700083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67da4fb94b975a8bcd39dc4dfac58c715632c0f58b21a4981a657bca10b43d7c

Aliases

arxiv: 1207.0411 · arxiv_version: 1207.0411v4 · doi: 10.48550/arxiv.1207.0411 · pith_short_12: M7NE7OKLS5NI · pith_short_16: M7NE7OKLS5NIXTJZ · pith_short_8: M7NE7OKL

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/M7NE7OKLS5NIXTJZ3RG7VRMMOF \
  | 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: 67da4fb94b975a8bcd39dc4dfac58c715632c0f58b21a4981a657bca10b43d7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43b096e9be4f1c403ee8ef446dd94feaf67757a561492a63872be3f107744f9c",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-07-02T14:44:04Z",
    "title_canon_sha256": "47db2bae88cf6bb7c561103fd519bab03e0ec371bf4307e0d6ab5c849cbf7f05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0411",
    "kind": "arxiv",
    "version": 4
  }
}