Pith Number

pith:4IVGNL3E

pith:2010:4IVGNL3EERFSBFXREB3KTBU2AO

not attested not anchored not stored refs pending

Gauge deformations for Hopf algebras with the dual Chevalley property

Alessandro Ardizzoni, Claudia Menini, Margaret Beattie

arxiv:1012.4935 v2 · 2010-12-22 · 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{4IVGNL3EERFSBFXREB3KTBU2AO}

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	2026-05-18T04:19:03.227346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e22a66af64244b2096f12076a9869a03baf2618290f3bf74d37f7770d318f1b7

Aliases

arxiv: 1012.4935 · arxiv_version: 1012.4935v2 · doi: 10.48550/arxiv.1012.4935 · pith_short_12: 4IVGNL3EERFS · pith_short_16: 4IVGNL3EERFSBFXR · pith_short_8: 4IVGNL3E

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/4IVGNL3EERFSBFXREB3KTBU2AO \
  | 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: e22a66af64244b2096f12076a9869a03baf2618290f3bf74d37f7770d318f1b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c8ec143b51159812cbaf339e65d4b794dbaa981f28897a78fe6594c0aa84851",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-12-22T10:57:40Z",
    "title_canon_sha256": "7128c71c9d7347ad63797fccad63e543d7883e8870240f16d9ad0a6edc08d89f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4935",
    "kind": "arxiv",
    "version": 2
  }
}