Pith Number

pith:IJ2GKOOY

pith:2022:IJ2GKOOYVR5DKNCA5HEWEM62XQ

not attested not anchored not stored refs pending

Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities

Lucca Fazza, Tin Sulejmanpasic

arxiv:2211.13047 v4 · 2022-11-23 · hep-th · cond-mat.str-el · hep-lat

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IJ2GKOOYVR5DKNCA5HEWEM62XQ}

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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

8 papers in Pith

Infinite-Order Lattice Chiral Anomalies and CPT

When Symmetries Twist: Anomaly Inflow on Monodromy Defects

Stringy T-duality on the lattice and the twisted Villain model

Exact SL(2,Z)-Structure of Lattice Maxwell Theory with $\theta$-term in Modified Villain Formulation

Receipt and verification

First computed	2026-07-05T06:13:09.158357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42746539d8ac7a353440e9c96233dabc0e8bf4b66aa05ac44973090b969b4670

Aliases

arxiv: 2211.13047 · arxiv_version: 2211.13047v4 · doi: 10.48550/arxiv.2211.13047 · pith_short_12: IJ2GKOOYVR5D · pith_short_16: IJ2GKOOYVR5DKNCA · pith_short_8: IJ2GKOOY

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/IJ2GKOOYVR5DKNCA5HEWEM62XQ \
  | 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: 42746539d8ac7a353440e9c96233dabc0e8bf4b66aa05ac44973090b969b4670

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b4c7676b6a94cde8fea07fb9c6eb3cdd07ba2750cceefefc04cb2e7da4b6ef0",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-lat"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-11-23T15:51:12Z",
    "title_canon_sha256": "63a051b3375dfbeccf0178b36ed29e049f08a043c2549f7f7071a5533855594f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.13047",
    "kind": "arxiv",
    "version": 4
  }
}