Pith Number

pith:JYAYM3PV

pith:2010:JYAYM3PVDZR5XXGDCYVJWPHRYY

not attested not anchored not stored refs pending

Normal completely positive maps on the space of quantum operations

A. Toigo, G. Chiribella, V. Umanit\`a

arxiv:1012.3197 v3 · 2010-12-15 · 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{JYAYM3PVDZR5XXGDCYVJWPHRYY}

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

Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension

Receipt and verification

First computed	2026-05-18T02:23:07.215125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e01866df51e63dbdcc3162a9b3cf1c616da14b5c6652016e5b5b7762d09612b

Aliases

arxiv: 1012.3197 · arxiv_version: 1012.3197v3 · doi: 10.48550/arxiv.1012.3197 · pith_short_12: JYAYM3PVDZR5 · pith_short_16: JYAYM3PVDZR5XXGD · pith_short_8: JYAYM3PV

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/JYAYM3PVDZR5XXGDCYVJWPHRYY \
  | 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: 4e01866df51e63dbdcc3162a9b3cf1c616da14b5c6652016e5b5b7762d09612b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "454f3038c336e4c02ec87cbc93a24b7d404a53b4ea9cd2a783d1579846056aac",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-15T00:20:08Z",
    "title_canon_sha256": "ef22604a15adf485f5d16a2ab927e0e95f4245c801561f093127e5573fc788e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3197",
    "kind": "arxiv",
    "version": 3
  }
}