Pith Number

pith:O27PGXHC

pith:2022:O27PGXHCFS4FJOKMMPPLX2RU6V

not attested not anchored not stored refs pending

Composing parafermions: a construction of $Z_{N}$ fractional quantum Hall systems and a modern understanding of confinement and duality

Yoshiki Fukusumi

arxiv:2212.12999 v3 · 2022-12-26 · cond-mat.str-el · cond-mat.stat-mech · hep-th · math-ph · math.MP

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\usepackage{pith}
\pithnumber{O27PGXHCFS4FJOKMMPPLX2RU6V}

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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

6 papers in Pith

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries

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

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries

Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders

Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls

Receipt and verification

First computed	2026-07-05T07:34:31.981135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76bef35ce22cb854b94c63debbea34f56335d02fd17dfa04966d21405e416626

Aliases

arxiv: 2212.12999 · arxiv_version: 2212.12999v3 · doi: 10.48550/arxiv.2212.12999 · pith_short_12: O27PGXHCFS4F · pith_short_16: O27PGXHCFS4FJOKM · pith_short_8: O27PGXHC

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/O27PGXHCFS4FJOKMMPPLX2RU6V \
  | 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: 76bef35ce22cb854b94c63debbea34f56335d02fd17dfa04966d21405e416626

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "290048f9f0a3cba986734c922f2e99bfdb51aba3026ac2458620a577f816b6a1",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2022-12-26T03:24:57Z",
    "title_canon_sha256": "7d5b068d2267f07b2ec7a881abbf125f51a83396d5056ea514a2a3ea20e5b7f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.12999",
    "kind": "arxiv",
    "version": 3
  }
}