Pith Number

pith:ZKL6QVW3

pith:2020:ZKL6QVW3KRNAWZN2YMZ4N4AASN

not attested not anchored not stored refs pending

Optimal universal programming of unitary gates

Giulio Chiribella, Renato Renner, Yuxiang Yang

arxiv:2007.10363 v3 · 2020-07-20 · 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{ZKL6QVW3KRNAWZN2YMZ4N4AASN}

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

2 papers in Pith

Random dilation superchannel

Quantum Advantage in Storage and Retrieval of Isometry Channels

Receipt and verification

First computed	2026-07-05T02:12:42.159007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca97e856db545a0b65bac333c6f0009345e94c1a7da275026a8b6e2dea98bcbf

Aliases

arxiv: 2007.10363 · arxiv_version: 2007.10363v3 · doi: 10.48550/arxiv.2007.10363 · pith_short_12: ZKL6QVW3KRNA · pith_short_16: ZKL6QVW3KRNAWZN2 · pith_short_8: ZKL6QVW3

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/ZKL6QVW3KRNAWZN2YMZ4N4AASN \
  | 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: ca97e856db545a0b65bac333c6f0009345e94c1a7da275026a8b6e2dea98bcbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f95f049b9bf26a705322460a51931dd591b4551f364985a419da7a4cff914432",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2020-07-20T18:00:09Z",
    "title_canon_sha256": "2ef36f9d17436d47662ebaf06c2ec73b47ff9b6fd583744095d3606054ed8dbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.10363",
    "kind": "arxiv",
    "version": 3
  }
}