Pith Number

pith:2OZD6RQF

pith:2016:2OZD6RQFDNGCYGIOABKBZNR2HS

not attested not anchored not stored refs pending

There are many more positive maps than completely positive maps

Alja\v{z} Zalar, Igor Klep, Klemen \v{S}ivic, Scott McCullough

arxiv:1611.02838 v2 · 2016-11-09 · math.FA · math.OC · 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{2OZD6RQFDNGCYGIOABKBZNR2HS}

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	2026-05-17T23:41:13.629707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3b23f46051b4c2c190e00541cb63a3c83e0cbabce6e87deb1b6003b87feff6f

Aliases

arxiv: 1611.02838 · arxiv_version: 1611.02838v2 · doi: 10.48550/arxiv.1611.02838 · pith_short_12: 2OZD6RQFDNGC · pith_short_16: 2OZD6RQFDNGCYGIO · pith_short_8: 2OZD6RQF

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/2OZD6RQFDNGCYGIOABKBZNR2HS \
  | 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: d3b23f46051b4c2c190e00541cb63a3c83e0cbabce6e87deb1b6003b87feff6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a19d81520a2bb979cdb1e93151d83f82275387d4b9b971369d43cd9d37b258b3",
    "cross_cats_sorted": [
      "math.OC",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-11-09T07:17:12Z",
    "title_canon_sha256": "3a0bb9806128d14d8486f353c8252c903dd950bfdae86b5a52b056582f4624dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02838",
    "kind": "arxiv",
    "version": 2
  }
}