Pith Number

pith:A3PPRM7X

pith:2016:A3PPRM7XCZIF2FID76X63ERZFF

not attested not anchored not stored refs pending

Selfcomplementary quantum channels

Karol Zyczkowski, Marek Smaczynski, Wojciech Roga

arxiv:1602.02140 v1 · 2016-02-05 · 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{A3PPRM7XCZIF2FID76X63ERZFF}

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

Coherence Fraction

Receipt and verification

First computed	2026-05-18T00:20:49.429482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06def8b3f716505d1503ffafed9239297b4c55bbf92c26f7e5289efd62f63f1d

Aliases

arxiv: 1602.02140 · arxiv_version: 1602.02140v1 · doi: 10.48550/arxiv.1602.02140 · pith_short_12: A3PPRM7XCZIF · pith_short_16: A3PPRM7XCZIF2FID · pith_short_8: A3PPRM7X

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/A3PPRM7XCZIF2FID76X63ERZFF \
  | 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: 06def8b3f716505d1503ffafed9239297b4c55bbf92c26f7e5289efd62f63f1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afd7f5089d98fb715102c5774a059e6b90439ae46289a5aa64e6ac899cb97cc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-02-05T20:04:53Z",
    "title_canon_sha256": "7e5c0231dff643bdd8852795a6dbee91036b0e1fa44ddb3e524df240a34199d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02140",
    "kind": "arxiv",
    "version": 1
  }
}