Pith Number

pith:U53WUXIF

pith:2009:U53WUXIFNNZBFLDT73MV2VN5PR

not attested not anchored not stored refs pending

Co-representations of Hopf-von Neumann algebras on operator spaces other than column Hilbert space

Volker Runde

arxiv:0910.2262 v1 · 2009-10-12 · 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{U53WUXIFNNZBFLDT73MV2VN5PR}

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	2026-05-18T04:40:45.323802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7776a5d056b7212ac73fed95d55bd7c619335a37d282ff24c7d1ccf71e58f46

Aliases

arxiv: 0910.2262 · arxiv_version: 0910.2262v1 · doi: 10.48550/arxiv.0910.2262 · pith_short_12: U53WUXIFNNZB · pith_short_16: U53WUXIFNNZBFLDT · pith_short_8: U53WUXIF

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/U53WUXIFNNZBFLDT73MV2VN5PR \
  | 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: a7776a5d056b7212ac73fed95d55bd7c619335a37d282ff24c7d1ccf71e58f46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b367917412c070ce3593df58e49ef0c4e72112ff6b374974f9c7e135b1c7b7e6",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-10-12T22:44:13Z",
    "title_canon_sha256": "a07876855508caad5f106bd4b60b38797de4eaaf80c01b8a7381c77f7623fe22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2262",
    "kind": "arxiv",
    "version": 1
  }
}