Pith Number

pith:6Z63OOPO

pith:2016:6Z63OOPOJHCVGX6QSZSDRTTRSM

not attested not anchored not stored refs pending

Universality of single qudit gates

Adam Sawicki, Katarzyna Karnas

arxiv:1609.05780 v6 · 2016-09-19 · quant-ph · math-ph · math.GR · 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{6Z63OOPOJHCVGX6QSZSDRTTRSM}

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	2026-05-18T00:31:22.460568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f67db739ee49c5535fd0966438ce71932b904416c177d8667fdbf4b2df83f0db

Aliases

arxiv: 1609.05780 · arxiv_version: 1609.05780v6 · doi: 10.48550/arxiv.1609.05780 · pith_short_12: 6Z63OOPOJHCV · pith_short_16: 6Z63OOPOJHCVGX6Q · pith_short_8: 6Z63OOPO

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/6Z63OOPOJHCVGX6QSZSDRTTRSM \
  | 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: f67db739ee49c5535fd0966438ce71932b904416c177d8667fdbf4b2df83f0db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c61957d1a25fd5548f5e0d845a57a59992aa692424ca51ec2d1cf33bca6c7db",
    "cross_cats_sorted": [
      "math-ph",
      "math.GR",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-09-19T15:29:06Z",
    "title_canon_sha256": "9d9e2d0ef3c364d3ccb9c2b02eed73ae5a23642ed922bf84250fff3599a39cbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05780",
    "kind": "arxiv",
    "version": 6
  }
}