Pith Number

pith:JESVKUVF

pith:2011:JESVKUVFJR5XWTWDHFWLCUQKYK

not attested not anchored not stored refs pending

Tensor products of positive maps of matrix algebras

Erling St{\o}rmer

arxiv:1101.2114 v1 · 2011-01-11 · 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{JESVKUVFJR5XWTWDHFWLCUQKYK}

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	2026-05-18T04:29:53.268513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49255552a54c7b7b4ec3396cb1520ac298b34c0639cce34309398cdcbd3c7e70

Aliases

arxiv: 1101.2114 · arxiv_version: 1101.2114v1 · doi: 10.48550/arxiv.1101.2114 · pith_short_12: JESVKUVFJR5X · pith_short_16: JESVKUVFJR5XWTWD · pith_short_8: JESVKUVF

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/JESVKUVFJR5XWTWDHFWLCUQKYK \
  | 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: 49255552a54c7b7b4ec3396cb1520ac298b34c0639cce34309398cdcbd3c7e70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebcd5f6592360f0c23b20d35053cebcad027d41aa6c6534403395943210f5b77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-01-11T12:37:35Z",
    "title_canon_sha256": "dae928e12cb41f7e4174ddf697ec25eebdce2c3ba305cac7869b59779dbda20d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2114",
    "kind": "arxiv",
    "version": 1
  }
}