Pith Number

pith:NQS4DAVQ

pith:2014:NQS4DAVQWK2YSH4MW4TX7AKHFI

not attested not anchored not stored refs pending

Generalisations of the Haagerup approximation property to arbitrary von Neumann algebras

Adam Skalski, Martijn Caspers, Reiji Tomatsu, Rui Okayasu

arxiv:1404.2716 v1 · 2014-04-10 · 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{NQS4DAVQWK2YSH4MW4TX7AKHFI}

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	2026-05-18T02:54:28.688457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c25c182b0b2b5891f8cb7277f81472a1ac739de4343f76e31625e036d1d4491

Aliases

arxiv: 1404.2716 · arxiv_version: 1404.2716v1 · doi: 10.48550/arxiv.1404.2716 · pith_short_12: NQS4DAVQWK2Y · pith_short_16: NQS4DAVQWK2YSH4M · pith_short_8: NQS4DAVQ

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/NQS4DAVQWK2YSH4MW4TX7AKHFI \
  | 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: 6c25c182b0b2b5891f8cb7277f81472a1ac739de4343f76e31625e036d1d4491

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a21cf480090bdcec98f7a9b81bae70aa658da3c61f1980d617a1cae86cc699ac",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-04-10T07:34:42Z",
    "title_canon_sha256": "833b622af676d560ed173a42152a377ed82a60c4990b3ae3b2a1a88ac34e6115"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2716",
    "kind": "arxiv",
    "version": 1
  }
}