Pith Number

pith:4G3GJS7Y

pith:2018:4G3GJS7YZTKTW3X57LHQFWSGCS

not attested not anchored not stored refs pending

Qutrit ZX-calculus is Complete for Stabilizer Quantum Mechanics

Quanlong Wang

arxiv:1803.00696 v1 · 2018-03-02 · 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{4G3GJS7YZTKTW3X57LHQFWSGCS}

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

Completeness for Prime-Dimensional Phase-Affine Circuits

Receipt and verification

First computed	2026-05-18T00:22:08.141688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1b664cbf8ccd53b6efdfacf02da4614b93bf2370453872c168ce0c5b9ff49ab

Aliases

arxiv: 1803.00696 · arxiv_version: 1803.00696v1 · doi: 10.48550/arxiv.1803.00696 · pith_short_12: 4G3GJS7YZTKT · pith_short_16: 4G3GJS7YZTKTW3X5 · pith_short_8: 4G3GJS7Y

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/4G3GJS7YZTKTW3X57LHQFWSGCS \
  | 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: e1b664cbf8ccd53b6efdfacf02da4614b93bf2370453872c168ce0c5b9ff49ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3caad0487ff2fa77a6659d16a191e70c4b80c202ac42c72c8faecad03d6bf465",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-03-02T03:45:04Z",
    "title_canon_sha256": "8ca43d91875519af20ba327154b436a94c4c36d327f12489098e5ae0aac46d81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.00696",
    "kind": "arxiv",
    "version": 1
  }
}