Pith Number

pith:SX7K55MJ

pith:2016:SX7K55MJSORMSQJXV7ZT6ANFV6

not attested not anchored not stored refs pending

Almost all quantum channels are equidistant

Ion Nechita, Karol \.Zyczkowski, {\L}ukasz Pawela, Zbigniew Pucha{\l}a

arxiv:1612.00401 v3 · 2016-12-01 · 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{SX7K55MJSORMSQJXV7ZT6ANFV6}

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

Probabilistic and approximate universal quantum purification machines

Receipt and verification

First computed	2026-05-18T00:11:23.951613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95feaef58993a2c94137aff33f01a5afabeb3c781f1f33bf281003d64acec629

Aliases

arxiv: 1612.00401 · arxiv_version: 1612.00401v3 · doi: 10.48550/arxiv.1612.00401 · pith_short_12: SX7K55MJSORM · pith_short_16: SX7K55MJSORMSQJX · pith_short_8: SX7K55MJ

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/SX7K55MJSORMSQJXV7ZT6ANFV6 \
  | 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: 95feaef58993a2c94137aff33f01a5afabeb3c781f1f33bf281003d64acec629

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ccc8d1a5bd306d07437a3d7ba02433cea09c36c5117780248d6968106d15916",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-12-01T19:57:46Z",
    "title_canon_sha256": "fafafa64d3b4ed15f64a61eb66e24738795ecc63d8e532f44f1c7c82a310796b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00401",
    "kind": "arxiv",
    "version": 3
  }
}