Pith Number

pith:ZE2D7GZV

pith:2004:ZE2D7GZV5IUQ7VPXMYHDHXWNX2

not attested not anchored not stored refs pending

A simple proof of the Jamiolkowski criterion for complete positivity of linear maps of algebras of Hilbert-Schmidt operators

D. Salgado, J.L. Sanchez-Gomez

arxiv:math-ph/0411074 v1 · 2004-11-24 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZE2D7GZV5IUQ7VPXMYHDHXWNX2}

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	2026-07-04T14:34:03.720340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9343f9b35ea290fd5f7660e33decdbea923b2043713ca1c494c796e0c19ebc1

Aliases

arxiv: math-ph/0411074 · arxiv_version: math-ph/0411074v1 · doi: 10.48550/arxiv.math-ph/0411074 · pith_short_12: ZE2D7GZV5IUQ · pith_short_16: ZE2D7GZV5IUQ7VPX · pith_short_8: ZE2D7GZV

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/ZE2D7GZV5IUQ7VPXMYHDHXWNX2 \
  | 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: c9343f9b35ea290fd5f7660e33decdbea923b2043713ca1c494c796e0c19ebc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb4c1a63b8f4d8a3f170f45224069446df301fa887e8a6cfe9ce40867ef2e0a6",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-11-24T15:03:07Z",
    "title_canon_sha256": "c27a5b68bcf77a43f05f770ce3cc0a1a1dc5de3533335c48314e79055d543212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0411074",
    "kind": "arxiv",
    "version": 1
  }
}