Pith Number

pith:YQR5TURL

pith:2013:YQR5TURL7ACAKI23QUELU2BCJI

not attested not anchored not stored refs pending

On a von Neumann algebra which is a complemented subspace

Erik Christensen, Liguang Wang

arxiv:1312.0450 v3 · 2013-12-02 · 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{YQR5TURL7ACAKI23QUELU2BCJI}

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	2026-05-18T03:02:46.420725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c423d9d22bf80405235b8508ba68224a086b71000848e88a7092146b85ceaf0f

Aliases

arxiv: 1312.0450 · arxiv_version: 1312.0450v3 · doi: 10.48550/arxiv.1312.0450 · pith_short_12: YQR5TURL7ACA · pith_short_16: YQR5TURL7ACAKI23 · pith_short_8: YQR5TURL

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/YQR5TURL7ACAKI23QUELU2BCJI \
  | 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: c423d9d22bf80405235b8508ba68224a086b71000848e88a7092146b85ceaf0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e80daef68b155a8b42530a3c8c5b3160ed4daeff36e1817d91d76288cb8029ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-12-02T13:39:31Z",
    "title_canon_sha256": "3f6bb183cdddea0f0f473d74056d35baa4ee5ff17731c75a482ad29712cfbf99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0450",
    "kind": "arxiv",
    "version": 3
  }
}