Pith Number

pith:RT6AKBZN

pith:2010:RT6AKBZNMMWITKCHHR5JBW3AMW

not attested not anchored not stored refs pending

The output entropy of quantum channels and operations

M.E.Shirokov

arxiv:1002.0230 v1 · 2010-02-01 · 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{RT6AKBZNMMWITKCHHR5JBW3AMW}

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	2026-05-18T04:11:51.912332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cfc05072d632c89a8473c7a90db6065a073b4c1ad6a7b63462922ef315a5bbb

Aliases

arxiv: 1002.0230 · arxiv_version: 1002.0230v1 · doi: 10.48550/arxiv.1002.0230 · pith_short_12: RT6AKBZNMMWI · pith_short_16: RT6AKBZNMMWITKCH · pith_short_8: RT6AKBZN

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/RT6AKBZNMMWITKCHHR5JBW3AMW \
  | 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: 8cfc05072d632c89a8473c7a90db6065a073b4c1ad6a7b63462922ef315a5bbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09c08b96482c55a462bc4da288d717b22f1624ba6b98156c2c8c971f8033f38e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-02-01T11:29:16Z",
    "title_canon_sha256": "c298dc1acdf33cf8c8b1366c2b13b78fde6b8f45f3a2baef02d2af9a054c4b16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0230",
    "kind": "arxiv",
    "version": 1
  }
}