Pith Number

pith:YOW7DXUY

pith:2004:YOW7DXUYWDM3AURZF22NL7N2SD

not attested not anchored not stored refs pending

A simple proof of the Jamiolkowski criterion for complete positivity of linear maps

D. Salgado, J.L. Sanchez-Gomez, M. Ferrero

arxiv:math-ph/0406010 v2 · 2004-06-04 · 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{YOW7DXUYWDM3AURZF22NL7N2SD}

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	2026-07-04T14:34:00.860437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3adf1de98b0d9b052392eb4d5fdba90eb7032d8c021788ab306d4b56d8fca0b

Aliases

arxiv: math-ph/0406010 · arxiv_version: math-ph/0406010v2 · doi: 10.48550/arxiv.math-ph/0406010 · pith_short_12: YOW7DXUYWDM3 · pith_short_16: YOW7DXUYWDM3AURZ · pith_short_8: YOW7DXUY

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/YOW7DXUYWDM3AURZF22NL7N2SD \
  | 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: c3adf1de98b0d9b052392eb4d5fdba90eb7032d8c021788ab306d4b56d8fca0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25d7d4e35b9eb5e03d6e8a4f17467ce364a5d579c964365a8025de00b7a6a7c1",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-06-04T16:13:24Z",
    "title_canon_sha256": "59ae45849fde0ee56c2de9edf75a7c2ecd14a9e89f71bc8dc404b54c4bd88836"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0406010",
    "kind": "arxiv",
    "version": 2
  }
}