Pith Number

pith:JSQ5WXMD

pith:2026:JSQ5WXMD2I5AVEZZVM542HUUQZ

not attested not anchored not stored refs pending

Quantum Codes with Transversal $CCZ$ Gates and Sublinear $Z$-Stabilizers

Itzhak Tamo, Ohad Elishco

arxiv:2606.22472 v1 · 2026-06-21 · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JSQ5WXMD2I5AVEZZVM542HUUQZ}

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	2026-06-23T02:13:39.266470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ca1db5d83d23a0a9339ab3bcd1e94867506fda23140183917a1c84d4744b078

Aliases

arxiv: 2606.22472 · arxiv_version: 2606.22472v1 · doi: 10.48550/arxiv.2606.22472 · pith_short_12: JSQ5WXMD2I5A · pith_short_16: JSQ5WXMD2I5AVEZZ · pith_short_8: JSQ5WXMD

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/JSQ5WXMD2I5AVEZZVM542HUUQZ \
  | 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: 4ca1db5d83d23a0a9339ab3bcd1e94867506fda23140183917a1c84d4744b078

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5aaff05e6c72d789807e152859b42582b4cda7b9323bbe3443e235dc170b476",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-06-21T12:32:50Z",
    "title_canon_sha256": "3b70dc76a26a06b845ede345dfc58f981a567e2c56773e854e2c3c1cea80e862"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22472",
    "kind": "arxiv",
    "version": 1
  }
}