Pith Number

pith:NO3AUW2W

pith:2025:NO3AUW2WVGTLGRBNT7MBDVSO66

not attested not anchored not stored refs pending

Constant-Depth Clifford-Hierarchy Gates via Non-Abelian Surface Codes

Alison Warman, Sakura Schafer-Nameki

arxiv:2512.13777 v3 · 2025-12-15 · quant-ph · cond-mat.str-el · hep-th · 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{NO3AUW2WVGTLGRBNT7MBDVSO66}

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

Constant depth magic state cultivation with Clifford measurements by gauging

Receipt and verification

First computed	2026-06-04T01:09:40.288537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bb60a5b56a9a6b3442d9fd811d64ef793fcab0977a51a83bb5f69f2dc0dad2c

Aliases

arxiv: 2512.13777 · arxiv_version: 2512.13777v3 · doi: 10.48550/arxiv.2512.13777 · pith_short_12: NO3AUW2WVGTL · pith_short_16: NO3AUW2WVGTLGRBN · pith_short_8: NO3AUW2W

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/NO3AUW2WVGTLGRBNT7MBDVSO66 \
  | 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: 6bb60a5b56a9a6b3442d9fd811d64ef793fcab0977a51a83bb5f69f2dc0dad2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "901b9c2c187311c2caf71ce8361fe2404f317b45203b6cfa0db42ba2912966aa",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-12-15T19:00:00Z",
    "title_canon_sha256": "645c2912e46231d40d9014d1bdbab9798c524113159c57ea315c1bc12d16c325"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.13777",
    "kind": "arxiv",
    "version": 3
  }
}