Pith Number

pith:3YOOE5NB

pith:2011:3YOOE5NBXRZA55NMMH7767ZU44

not attested not anchored not stored refs pending

Bosonization for dual quasi-bialgebras and preantipode

Alessandro Ardizzoni, Alice Pavarin

arxiv:1111.4325 v1 · 2011-11-18 · 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{3YOOE5NBXRZA55NMMH7767ZU44}

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	2026-05-18T04:08:04.578054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de1ce275a1bc720ef5ac61ffff7f34e7039bb39a7bfe1ea3d7649df251ccc243

Aliases

arxiv: 1111.4325 · arxiv_version: 1111.4325v1 · doi: 10.48550/arxiv.1111.4325 · pith_short_12: 3YOOE5NBXRZA · pith_short_16: 3YOOE5NBXRZA55NM · pith_short_8: 3YOOE5NB

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/3YOOE5NBXRZA55NMMH7767ZU44 \
  | 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: de1ce275a1bc720ef5ac61ffff7f34e7039bb39a7bfe1ea3d7649df251ccc243

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0859d4df094df19d1f09f204abca23db0ca7ede1f268fa7880cff5cfef90a80",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-11-18T10:43:40Z",
    "title_canon_sha256": "610cb5cb6e1dd65c0688a87048163674c1bdb8bf21cb08a1373a1b39aeaf620f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4325",
    "kind": "arxiv",
    "version": 1
  }
}