Pith Number

pith:K3GVO5FB

pith:2012:K3GVO5FBDUMGBRR5DYQJJQ3GLO

not attested not anchored not stored refs pending

On the structure of positive maps II: low dimensional matrix algebras

Tomasz I. Tylec, Wladyslaw A. Majewski

arxiv:1210.5399 v2 · 2012-10-19 · math-ph · math.MP · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K3GVO5FBDUMGBRR5DYQJJQ3GLO}

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	2026-05-18T01:17:33.735276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56cd5774a11d1860c63d1e2094c3665b9f01cc2f3df00c2dcf35db3ec94ffd40

Aliases

arxiv: 1210.5399 · arxiv_version: 1210.5399v2 · doi: 10.48550/arxiv.1210.5399 · pith_short_12: K3GVO5FBDUMG · pith_short_16: K3GVO5FBDUMGBRR5 · pith_short_8: K3GVO5FB

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/K3GVO5FBDUMGBRR5DYQJJQ3GLO \
  | 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: 56cd5774a11d1860c63d1e2094c3665b9f01cc2f3df00c2dcf35db3ec94ffd40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adfd4f0c2ded06f34c39294ae38539d526eeb37c366bc907794afc672cfcf4cd",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-19T12:28:58Z",
    "title_canon_sha256": "ef9d30588df52d5767560bdb3e4c6626cf183bcbb5f057fb84312c0dba64f53e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5399",
    "kind": "arxiv",
    "version": 2
  }
}