Pith Number

pith:6EM7YMYY

pith:2010:6EM7YMYYPWA6WWRSLAUYM6ZBZ5

not attested not anchored not stored refs pending

Comonoidal W*-Morita equivalence for von Neumann bialgebras

Kenny De Commer

arxiv:1004.0824 v1 · 2010-04-06 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6EM7YMYYPWA6WWRSLAUYM6ZBZ5}

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	2026-05-18T03:16:17.835537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f119fc33187d81eb5a325829867b21cf5cc929c3574babe82450ffec263f000f

Aliases

arxiv: 1004.0824 · arxiv_version: 1004.0824v1 · doi: 10.48550/arxiv.1004.0824 · pith_short_12: 6EM7YMYYPWA6 · pith_short_16: 6EM7YMYYPWA6WWRS · pith_short_8: 6EM7YMYY

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/6EM7YMYYPWA6WWRSLAUYM6ZBZ5 \
  | 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: f119fc33187d81eb5a325829867b21cf5cc929c3574babe82450ffec263f000f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e4143299d23947c55cf5c556bba9ab94117f707b3d2f65b239aed57a427572c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-04-06T11:16:51Z",
    "title_canon_sha256": "bc77da50a284b5d49ba779052cbbaa402f787f4e79f247f4558ecadd86efff0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0824",
    "kind": "arxiv",
    "version": 1
  }
}