Pith Number

pith:5OFMNMQV

pith:2022:5OFMNMQVFNIKJOLHZENDF2GDKR

not attested not anchored not stored refs pending

Ground state degeneracy on torus in a family of $\mathbb{Z}_N$ toric code

Haruki Watanabe, Meng Cheng, Yohei Fuji

arxiv:2211.00299 v3 · 2022-11-01 · cond-mat.other · cond-mat.stat-mech · cond-mat.str-el · 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{5OFMNMQVFNIKJOLHZENDF2GDKR}

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

2 papers in Pith

Extending fusion rules with finite subgroups: A general construction of $Z_{N}$ extended conformal field theories and their orbifoldings

Subdimensional Entanglement Entropy: From Geometric-Topological Response to Mixed-State Holography

Receipt and verification

First computed	2026-07-05T06:14:37.575158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb8ac6b2152b50a4b967c91a32e8c3547402f7f72153ed4fe7e9bae85f637316

Aliases

arxiv: 2211.00299 · arxiv_version: 2211.00299v3 · doi: 10.48550/arxiv.2211.00299 · pith_short_12: 5OFMNMQVFNIK · pith_short_16: 5OFMNMQVFNIKJOLH · pith_short_8: 5OFMNMQV

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/5OFMNMQVFNIKJOLHZENDF2GDKR \
  | 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: eb8ac6b2152b50a4b967c91a32e8c3547402f7f72153ed4fe7e9bae85f637316

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b450eb28ecbe1b4db283891513b5931f21cd11bf70d52bece608bd8f5c416af3",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cond-mat.str-el",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.other",
    "submitted_at": "2022-11-01T06:34:53Z",
    "title_canon_sha256": "06f0d351b6c8defc3d3dafe80ba283ed83c17010c34dc3f36efc423b861df903"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.00299",
    "kind": "arxiv",
    "version": 3
  }
}