Pith Number

pith:ZAA47NPY

pith:2010:ZAA47NPYYTLWPROM4AC4DYU23Q

not attested not anchored not stored refs pending

On description of bistochastic Kadison-Schwarz operators on M_2(C)

Abduaziz Abduganiev, Farrukh Mukhamedov

arxiv:1005.5532 v1 · 2010-05-30 · math-ph · math.FA · 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{ZAA47NPYYTLWPROM4AC4DYU23Q}

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	2026-05-18T03:58:24.979167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c801cfb5f8c4d767c5cce005c1e29adc2b5786388518c63313a30b9146a07916

Aliases

arxiv: 1005.5532 · arxiv_version: 1005.5532v1 · doi: 10.48550/arxiv.1005.5532 · pith_short_12: ZAA47NPYYTLW · pith_short_16: ZAA47NPYYTLWPROM · pith_short_8: ZAA47NPY

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/ZAA47NPYYTLWPROM4AC4DYU23Q \
  | 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: c801cfb5f8c4d767c5cce005c1e29adc2b5786388518c63313a30b9146a07916

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "953d24a42956fc7523f5e57146613105739ff5fa75aaf0e78fb05f65720932a8",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-05-30T14:02:02Z",
    "title_canon_sha256": "cf4de03ba2f18ea1ae283a428961d92f8b0a9f0fbe5d27445e6219268f192e4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5532",
    "kind": "arxiv",
    "version": 1
  }
}