Pith Number

pith:AAKILMT7

pith:2004:AAKILMT7ZMGEH63ANKL2WA3PKE

not attested not anchored not stored refs pending

$k$-decomposability of positive maps

Marcin Marciniak, Wladyslaw A. Majewski

arxiv:quant-ph/0411035 v1 · 2004-11-04 · quant-ph · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AAKILMT7ZMGEH63ANKL2WA3PKE}

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.

Cited by

1 paper in Pith

Generating Non-Decomposable Maps with Differentiable Semidefinite Programming

Receipt and verification

First computed	2026-07-04T14:46:50.655886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

001485b27fcb0c43fb606a97ab036f51143baa2688f4eaef52070054d22d7871

Aliases

arxiv: quant-ph/0411035 · arxiv_version: quant-ph/0411035v1 · doi: 10.48550/arxiv.quant-ph/0411035 · pith_short_12: AAKILMT7ZMGE · pith_short_16: AAKILMT7ZMGEH63A · pith_short_8: AAKILMT7

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/AAKILMT7ZMGEH63ANKL2WA3PKE \
  | 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: 001485b27fcb0c43fb606a97ab036f51143baa2688f4eaef52070054d22d7871

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59bd4d3c5c22910559d5739fa4a8dc13018a09c8111cd28e87a8b845ffef7419",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-11-04T17:54:32Z",
    "title_canon_sha256": "38e8ce16962f03f718d61bcc7aa6b2457f217be996ab50e1de8e65b3899c4e2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0411035",
    "kind": "arxiv",
    "version": 1
  }
}