Pith Number

pith:CDS4PY5B

pith:2007:CDS4PY5BEWTMLP3LSRI76ILZJZ

not attested not anchored not stored refs pending

Small Bialgebras with a Projection: Applications

A. Ardizzoni, C. Menini

arxiv:0705.3522 v1 · 2007-05-24 · 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{CDS4PY5BEWTMLP3LSRI76ILZJZ}

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	2026-05-18T04:28:28.538986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10e5c7e3a125a6c5bf6b9451ff21794e44e83c3da08c977409fa696fbeb7fb2f

Aliases

arxiv: 0705.3522 · arxiv_version: 0705.3522v1 · doi: 10.48550/arxiv.0705.3522 · pith_short_12: CDS4PY5BEWTM · pith_short_16: CDS4PY5BEWTMLP3L · pith_short_8: CDS4PY5B

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/CDS4PY5BEWTMLP3LSRI76ILZJZ \
  | 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: 10e5c7e3a125a6c5bf6b9451ff21794e44e83c3da08c977409fa696fbeb7fb2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2427a831d080aa635b49468255825dffe060e05637182c76c0cfa2fe4e8f0220",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2007-05-24T08:17:16Z",
    "title_canon_sha256": "ccae7efdd374e873388583c410a4fab790bd3acb0cf25d39174ce34c04d29e47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.3522",
    "kind": "arxiv",
    "version": 1
  }
}