Pith Number

pith:BD4SSCT4

pith:2019:BD4SSCT4HQULBZLEI3YQJOPJF4

not attested not anchored not stored refs pending

Kitaev's quantum double model as an error correcting code

Brandon C. Rayhaun, Daniel Ranard, Dawei Ding, Geoffrey Penington, Shawn X. Cui, Xizhi Han, Zhou Shangnan

arxiv:1908.02829 v3 · 2019-08-07 · quant-ph · cond-mat.str-el · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BD4SSCT4HQULBZLEI3YQJOPJF4}

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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

Handbook of Error-Correcting Codes

Local Topological Quantum Order and Spectral Gap Stability for the AKLT Models on the Hexagonal and Lieb Lattices

Parameterized Families of Toric Code Phase: $em$-duality family and higher-order anyon pumping

Receipt and verification

First computed	2026-07-05T01:38:55.128097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08f9290a7c3c28b0e56446f104b9e92f016ae22216fa1e5fbba082216a4612df

Aliases

arxiv: 1908.02829 · arxiv_version: 1908.02829v3 · doi: 10.48550/arxiv.1908.02829 · pith_short_12: BD4SSCT4HQUL · pith_short_16: BD4SSCT4HQULBZLE · pith_short_8: BD4SSCT4

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/BD4SSCT4HQULBZLEI3YQJOPJF4 \
  | 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: 08f9290a7c3c28b0e56446f104b9e92f016ae22216fa1e5fbba082216a4612df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea64c5d9436cc870e801f54271600de8ffdb12d5dd52b66d3cbe2cdf4d92308a",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-08-07T20:41:58Z",
    "title_canon_sha256": "3ad6cdd74f1ebb54518e0890749f5531554a7a12b5b77b2e9a7018e2ff477ec1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02829",
    "kind": "arxiv",
    "version": 3
  }
}