Pith Number

pith:DMZJCU7L

pith:2014:DMZJCU7LAW6QX7NLDQCAWHZJR3

not attested not anchored not stored refs pending

Checking the strict positivity of Kraus maps is NP-hard

Stephane Gaubert, Zheng Qu

arxiv:1402.1429 v1 · 2014-02-06 · cs.CC · cs.IT · math.IT · 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{DMZJCU7LAW6QX7NLDQCAWHZJR3}

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	2026-05-18T02:59:49.163964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b329153eb05bd0bfdab1c040b1f298eff38891bd6a1f8345ad8ed9b179c0d06

Aliases

arxiv: 1402.1429 · arxiv_version: 1402.1429v1 · doi: 10.48550/arxiv.1402.1429 · pith_short_12: DMZJCU7LAW6Q · pith_short_16: DMZJCU7LAW6QX7NL · pith_short_8: DMZJCU7L

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/DMZJCU7LAW6QX7NLDQCAWHZJR3 \
  | 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: 1b329153eb05bd0bfdab1c040b1f298eff38891bd6a1f8345ad8ed9b179c0d06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0776ceda686f2c5f13a1038e4e79616b633314fe4b8654308b51b584054cae33",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-02-06T17:38:57Z",
    "title_canon_sha256": "0067643308a881c5d0323c9f6818dbfc179d131edce14d05a35bdc43ecc18a69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1429",
    "kind": "arxiv",
    "version": 1
  }
}