Pith Number

pith:LMRULMN6

pith:2000:LMRULMN6IWK26DXG4XJNEPYNDJ

not attested not anchored not stored refs pending

An Analysis of Completely-Positive Trace-Preserving Maps on 2x2 Matrices

Elisabeth Werner, Mary Beth Ruskai, Stanislaw Szarek

arxiv:quant-ph/0101003 v2 · 2000-12-31 · quant-ph · math-ph · math.MP · math.OA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LMRULMN6IWK26DXG4XJNEPYNDJ}

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

Efficient simulation of parametrized quantum circuits under non-unital noise through Pauli backpropagation

Receipt and verification

First computed	2026-07-04T15:51:37.398602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b2345b1be4595af0ee6e5d2d23f0d1a4f91a1bb60c058c1114d00d2e7ab0d43

Aliases

arxiv: quant-ph/0101003 · arxiv_version: quant-ph/0101003v2 · doi: 10.48550/arxiv.quant-ph/0101003 · pith_short_12: LMRULMN6IWK2 · pith_short_16: LMRULMN6IWK26DXG · pith_short_8: LMRULMN6

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/LMRULMN6IWK26DXG4XJNEPYNDJ \
  | 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: 5b2345b1be4595af0ee6e5d2d23f0d1a4f91a1bb60c058c1114d00d2e7ab0d43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3234f3cc58f2ad6d2e6a79bd1af5c7ee636d72f0a8cd52889b51cea3322ffeef",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA",
      "math.RA"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-12-31T22:34:10Z",
    "title_canon_sha256": "b634f34f8f176f1b65a58b81ee5936287f6b6d58d7b7d4d396ff3264e8a15e0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0101003",
    "kind": "arxiv",
    "version": 2
  }
}