Pith Number

pith:DAJYC3SL

pith:2023:DAJYC3SLTROXNGXSJDT3O7ZGOE

not attested not anchored not stored refs pending

Higher-group symmetry of (3+1)D fermionic $\mathbb{Z}_2$ gauge theory: logical CCZ, CS, and T gates from higher symmetry

Maissam Barkeshli, Po-Shen Hsin, Ryohei Kobayashi

arxiv:2311.05674 v3 · 2023-11-09 · cond-mat.str-el · hep-th · math.QA · quant-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DAJYC3SLTROXNGXSJDT3O7ZGOE}

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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

4 papers in Pith

Sixteen-Fold Way for Fermionic Topological Orders

Clifford Hierarchy Stabilizer Codes: Transversal Non-Clifford Gates and Magic

Automorphism in Gauge Theories: Higher Symmetries and Transversal Non-Clifford Logical Gates

Hilbert Space Fragmentation from Generalized Symmetries

Receipt and verification

First computed	2026-07-05T08:16:23.370297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1813816e4b9c5d769af248e7b77f26711ad99d5ecb85cee7362bdfc14f69e528

Aliases

arxiv: 2311.05674 · arxiv_version: 2311.05674v3 · doi: 10.48550/arxiv.2311.05674 · pith_short_12: DAJYC3SLTROX · pith_short_16: DAJYC3SLTROXNGXS · pith_short_8: DAJYC3SL

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/DAJYC3SLTROXNGXSJDT3O7ZGOE \
  | 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: 1813816e4b9c5d769af248e7b77f26711ad99d5ecb85cee7362bdfc14f69e528

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fe46e92ecfe27aee812c857bdb34d341ff8562222344e66fbcf9c83e91f552b",
    "cross_cats_sorted": [
      "hep-th",
      "math.QA",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2023-11-09T19:00:00Z",
    "title_canon_sha256": "309b21c61da9aa0fd66e67c4f4947716b30333341a5172e2b624fb659dc8f9f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.05674",
    "kind": "arxiv",
    "version": 3
  }
}