Pith Number

pith:YJBBEMGZ

pith:2013:YJBBEMGZXB3PP3LQ7ZY6Z36MEN

not attested not anchored not stored refs pending

Characterization of singular numbers of products of operators in matrix algebras and finite von Neumann algebras

Benoit Collins, Hari Bercovici, Ken Dykema, Wing Suet Li

arxiv:1306.6434 v1 · 2013-06-27 · 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{YJBBEMGZXB3PP3LQ7ZY6Z36MEN}

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	2026-05-18T01:22:08.862259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2421230d9b876f7ed70fe71ecefcc236d56b24c21572b931e9cb02e25554800

Aliases

arxiv: 1306.6434 · arxiv_version: 1306.6434v1 · doi: 10.48550/arxiv.1306.6434 · pith_short_12: YJBBEMGZXB3P · pith_short_16: YJBBEMGZXB3PP3LQ · pith_short_8: YJBBEMGZ

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/YJBBEMGZXB3PP3LQ7ZY6Z36MEN \
  | 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: c2421230d9b876f7ed70fe71ecefcc236d56b24c21572b931e9cb02e25554800

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18f02611b0fc7eaeaa792f7ed569e07c0b87f7ec268b1ec172c4e86676d09282",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-06-27T08:28:30Z",
    "title_canon_sha256": "f52cae81d37261389b6bc4f1788e09c1df217a02b3a0f0e0b84e2325e4ed29b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6434",
    "kind": "arxiv",
    "version": 1
  }
}