Pith Number

pith:4GATKN73

pith:2006:4GATKN73M5UE5BHWNXYTP5AYNP

not attested not anchored not stored refs pending

Still more on norms of completely positive maps

Stanislaw J. Szarek

arxiv:quant-ph/0603110 v2 · 2006-03-13 · quant-ph · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GATKN73M5UE5BHWNXYTP5AYNP}

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	2026-05-18T04:41:04.111731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1813537fb67684e84f66df137f4186bc37b412c36c4f3abbc294c356192e7fc

Aliases

arxiv: quant-ph/0603110 · arxiv_version: quant-ph/0603110v2 · doi: 10.48550/arxiv.quant-ph/0603110 · pith_short_12: 4GATKN73M5UE · pith_short_16: 4GATKN73M5UE5BHW · pith_short_8: 4GATKN73

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/4GATKN73M5UE5BHWNXYTP5AYNP \
  | 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: e1813537fb67684e84f66df137f4186bc37b412c36c4f3abbc294c356192e7fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6e6d7422d314e97d6a86f3e8fe23d59405364e4cde8fb64614e49fb3cf0aa21",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-03-13T17:32:41Z",
    "title_canon_sha256": "6c834b628bde9132072c7ed7d6dfde62e369dd0273038e45bc92f699fd4355e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0603110",
    "kind": "arxiv",
    "version": 2
  }
}