Pith Number

pith:4DRKTZRH

pith:2003:4DRKTZRHERGMX3IQXBKA52CQEM

not attested not anchored not stored refs pending

Weak Hopf algebras corresponding to $U_q[sl_n]$

N. Aizawa, P. S. Isaac

arxiv:math/0307391 v1 · 2003-07-31 · 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{4DRKTZRHERGMX3IQXBKA52CQEM}

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	2026-07-04T14:47:50.826713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0e2a9e627244ccbed10b8540ee850233d4a3578f6700521c5452a71d8cc3ea3

Aliases

arxiv: math/0307391 · arxiv_version: math/0307391v1 · doi: 10.48550/arxiv.math/0307391 · pith_short_12: 4DRKTZRHERGM · pith_short_16: 4DRKTZRHERGMX3IQ · pith_short_8: 4DRKTZRH

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/4DRKTZRHERGMX3IQXBKA52CQEM \
  | 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: e0e2a9e627244ccbed10b8540ee850233d4a3578f6700521c5452a71d8cc3ea3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c3a60160708d67a739fa91a53527fdf9cb2b1c413b53bd77f5c33f5d306474c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2003-07-31T03:09:24Z",
    "title_canon_sha256": "69134853775aa787e3b43bee1c0f7dd9830fcf7704a7d8c3308282f9980ae0c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0307391",
    "kind": "arxiv",
    "version": 1
  }
}