Pith Number

pith:XMWXDRF3

pith:2015:XMWXDRF3L3A4RNC2CXQQ2GA775

not attested not anchored not stored refs pending

Multiqubit Clifford groups are unitary 3-designs

Huangjun Zhu

arxiv:1510.02619 v2 · 2015-10-09 · quant-ph · math-ph · 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{XMWXDRF3L3A4RNC2CXQQ2GA775}

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

Quantum Complexity and New Directions in Nuclear Physics and High-Energy Physics Phenomenology

Receipt and verification

First computed	2026-05-18T00:26:38.082180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb2d71c4bb5ec1c8b45a15e10d181fff7f66c331f17529b07d17f5e29d0b0b86

Aliases

arxiv: 1510.02619 · arxiv_version: 1510.02619v2 · doi: 10.48550/arxiv.1510.02619 · pith_short_12: XMWXDRF3L3A4 · pith_short_16: XMWXDRF3L3A4RNC2 · pith_short_8: XMWXDRF3

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/XMWXDRF3L3A4RNC2CXQQ2GA775 \
  | 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: bb2d71c4bb5ec1c8b45a15e10d181fff7f66c331f17529b07d17f5e29d0b0b86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ec854854fece4c52526469cbf0f23dc9afbce824e348edaea2a9e72eacb7c1c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-10-09T10:33:18Z",
    "title_canon_sha256": "90b1da187f315dc9ef2a12080e20f1ab49c79ff5afdb4c82125cbf7d9d33c189"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02619",
    "kind": "arxiv",
    "version": 2
  }
}