Pith Number

pith:XZQ4OFUS

pith:2007:XZQ4OFUSJSSSVDDHVMEQ4VAQVI

not attested not anchored not stored refs pending

Braided Bialgebras of Type One

A. Ardizzoni, C.Menini

arxiv:math/0702604 v1 · 2007-02-21 · math.CT · 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{XZQ4OFUSJSSSVDDHVMEQ4VAQVI}

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	2026-05-18T04:41:45.009302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be61c716924ca52a8c67ab090e5410aa24b3df643df09c5561c3cbe777fa0696

Aliases

arxiv: math/0702604 · arxiv_version: math/0702604v1 · doi: 10.48550/arxiv.math/0702604 · pith_short_12: XZQ4OFUSJSSS · pith_short_16: XZQ4OFUSJSSSVDDH · pith_short_8: XZQ4OFUS

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/XZQ4OFUSJSSSVDDHVMEQ4VAQVI \
  | 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: be61c716924ca52a8c67ab090e5410aa24b3df643df09c5561c3cbe777fa0696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a504fec429031d757ed4c102a79d574c5463fd1ce7ef92b14b839241e39fd4c",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.CT",
    "submitted_at": "2007-02-21T07:58:22Z",
    "title_canon_sha256": "440c367cbbb27ef2b122667bcdebeaac0d3e47532a0799f32c5ff7b937f31c49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702604",
    "kind": "arxiv",
    "version": 1
  }
}