Pith Number

pith:V244ARA4

pith:2013:V244ARA4DHAQ36B54GERMFQSE6

not attested not anchored not stored refs pending

Operator biflatness of the $L^1$-algebras of compact quantum groups

\'Eric Ricard, Hun Hee Lee, Martijn Caspers

arxiv:1301.2069 v3 · 2013-01-10 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V244ARA4DHAQ36B54GERMFQSE6}

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	2026-05-18T03:28:45.532284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeb9c0441c19c10df83de1891616122791c1f9a9df3d45679e93e11fa96d4ee5

Aliases

arxiv: 1301.2069 · arxiv_version: 1301.2069v3 · doi: 10.48550/arxiv.1301.2069 · pith_short_12: V244ARA4DHAQ · pith_short_16: V244ARA4DHAQ36B5 · pith_short_8: V244ARA4

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/V244ARA4DHAQ36B54GERMFQSE6 \
  | 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: aeb9c0441c19c10df83de1891616122791c1f9a9df3d45679e93e11fa96d4ee5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32a5224722f073dbfa245d8280314e2fa1a5f60d0d46e421b40148d9f2a400e4",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-01-10T10:09:56Z",
    "title_canon_sha256": "ef59a4e5786453b1c6ef1f790509b52b225010aaa0aedd5143acfbe534639d4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2069",
    "kind": "arxiv",
    "version": 3
  }
}