Pith Number

pith:4C3XN26E

pith:2004:4C3XN26E6BIMGUZJ6YN7LJ3QLJ

not attested not anchored not stored refs pending

Quantization of Drinfel'd doubles

A. Ballesteros, E. Celeghini, M.A. del Olmo

arxiv:math/0411389 v1 · 2004-11-17 · math.QA · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4C3XN26E6BIMGUZJ6YN7LJ3QLJ}

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	2026-07-04T16:49:15.780130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0b776ebc4f050c35329f61bf5a7705a4b332fd0e5772e7c5fdd2469392e74ec

Aliases

arxiv: math/0411389 · arxiv_version: math/0411389v1 · doi: 10.48550/arxiv.math/0411389 · pith_short_12: 4C3XN26E6BIM · pith_short_16: 4C3XN26E6BIMGUZJ · pith_short_8: 4C3XN26E

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/4C3XN26E6BIMGUZJ6YN7LJ3QLJ \
  | 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: e0b776ebc4f050c35329f61bf5a7705a4b332fd0e5772e7c5fdd2469392e74ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bb591c6c71af660302664b50bb73f8c88141d3ac5c3f67cff78e7328a53f024",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2004-11-17T18:15:58Z",
    "title_canon_sha256": "91c2e3bb9db2ba20f70986a7f656a00180e1fbfcbee94a11f94be461662239cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411389",
    "kind": "arxiv",
    "version": 1
  }
}