Pith Number

pith:HASVPCPP

pith:2024:HASVPCPPWSF6PVZRW6KZ3Z74MJ

not attested not anchored not stored refs pending

Permutation gates in the third level of the Clifford hierarchy

Luke Robitaille, Xinyu Tan, Zhiyang He

arxiv:2410.11818 v1 · 2024-10-15 · 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{HASVPCPPWSF6PVZRW6KZ3Z74MJ}

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

The Clifford hierarchy for one qubit or qudit

Receipt and verification

First computed	2026-07-05T09:20:59.373816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38255789efb48be7d731b7959de7fc62753cdbe6e285009e12ce29f722f327b6

Aliases

arxiv: 2410.11818 · arxiv_version: 2410.11818v1 · doi: 10.48550/arxiv.2410.11818 · pith_short_12: HASVPCPPWSF6 · pith_short_16: HASVPCPPWSF6PVZR · pith_short_8: HASVPCPP

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/HASVPCPPWSF6PVZRW6KZ3Z74MJ \
  | 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: 38255789efb48be7d731b7959de7fc62753cdbe6e285009e12ce29f722f327b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9bc6725382f5ea0075e0b2c9373e4722c4a13b7c97b0ade2e76aedaa00d5b2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-10-15T17:46:49Z",
    "title_canon_sha256": "3d857642afdf87d6b22c21a048c4508cce4eebdf08d50e65bd5e54dc7f75121f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.11818",
    "kind": "arxiv",
    "version": 1
  }
}