Pith Number

pith:W74DVG6C

pith:2016:W74DVG6CB44CSW3TH27CQGERU5

not attested not anchored not stored refs pending

The Classification of Clifford Gates over Qubits

Daniel Grier, Luke Schaeffer

arxiv:1603.03999 v4 · 2016-03-13 · quant-ph · cs.CC

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W74DVG6CB44CSW3TH27CQGERU5}

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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

Number-Theoretic Characterizations of Some Restricted Clifford+T Circuits

Receipt and verification

First computed	2026-07-05T04:31:18.630451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7f83a9bc20f38295b733ebe281891a74d1c0aa8c9435a914a14c881793bc06a

Aliases

arxiv: 1603.03999 · arxiv_version: 1603.03999v4 · doi: 10.48550/arxiv.1603.03999 · pith_short_12: W74DVG6CB44C · pith_short_16: W74DVG6CB44CSW3T · pith_short_8: W74DVG6C

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/W74DVG6CB44CSW3TH27CQGERU5 \
  | 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: b7f83a9bc20f38295b733ebe281891a74d1c0aa8c9435a914a14c881793bc06a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "449c3fdd677246b26a7f13128d7730f427be5e595adec672cddaeccdee625464",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-03-13T05:30:40Z",
    "title_canon_sha256": "69c5addb8d23c87b90a80aafc2224ae1731eb9e0d0b4ececd2d6e140c77ef9f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03999",
    "kind": "arxiv",
    "version": 4
  }
}