Pith Number

pith:6KICDQBQ

pith:2012:6KICDQBQM5SQOLX3XIGAXPVGDC

not attested not anchored not stored refs pending

Connected Hopf Algebras of Dimension $p^2$

Xingting Wang

arxiv:1208.2280 v2 · 2012-08-10 · math.RA · 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{6KICDQBQM5SQOLX3XIGAXPVGDC}

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	2026-05-18T03:16:49.750213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f29021c0306765072efbba0c0bbea6189dab5a9e8f924e552bf8442f52db7f72

Aliases

arxiv: 1208.2280 · arxiv_version: 1208.2280v2 · doi: 10.48550/arxiv.1208.2280 · pith_short_12: 6KICDQBQM5SQ · pith_short_16: 6KICDQBQM5SQOLX3 · pith_short_8: 6KICDQBQ

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/6KICDQBQM5SQOLX3XIGAXPVGDC \
  | 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: f29021c0306765072efbba0c0bbea6189dab5a9e8f924e552bf8442f52db7f72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7d32fcb1d52dfa32001bc1fe9bbee44965979308815c85d28cd7e9b93acb0e3",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-08-10T20:24:54Z",
    "title_canon_sha256": "e95dcc44c5302e97e831f511484a655c870d5d2466426c6f92ffa9593e23bcc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2280",
    "kind": "arxiv",
    "version": 2
  }
}