Pith Number

pith:XTSAO6AC

pith:2024:XTSAO6ACWKXWIT3Y4ZUKFVPZAM

not attested not anchored not stored refs pending

On average output entropy of a quantum channel

M.E.Shirokov

arxiv:2404.07978 v1 · 2024-04-11 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTSAO6ACWKXWIT3Y4ZUKFVPZAM}

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

Near-optimal performance of square-root measurement for general score functions and quantum ensembles

Receipt and verification

First computed	2026-07-05T08:07:00.117335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bce4077802b2af644f78e668a2d5f90313556b8f5c34c7a445b2670f5f1d0eed

Aliases

arxiv: 2404.07978 · arxiv_version: 2404.07978v1 · doi: 10.48550/arxiv.2404.07978 · pith_short_12: XTSAO6ACWKXW · pith_short_16: XTSAO6ACWKXWIT3Y · pith_short_8: XTSAO6AC

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/XTSAO6ACWKXWIT3Y4ZUKFVPZAM \
  | 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: bce4077802b2af644f78e668a2d5f90313556b8f5c34c7a445b2670f5f1d0eed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f8f1fccdf78e423dfc0b0bd32a9134ce0858f28b91364471ed7dc42c73f79e3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-04-11T17:57:20Z",
    "title_canon_sha256": "4c0798466b04fbaf63166a6233e889bad3bd79347fe8089397c5379f76eff1f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.07978",
    "kind": "arxiv",
    "version": 1
  }
}