Pith Number

pith:PB2LQKDX

pith:2022:PB2LQKDXIO76B3VIX3L2UMRLCY

not attested not anchored not stored refs pending

Electric-magnetic duality and $\mathbb{Z}_2$ symmetry enriched Abelian lattice gauge theory

Dagomir Kaszlikowski, Sheng Tan, Zhian Jia

arxiv:2201.12361 v3 · 2022-01-28 · quant-ph · cond-mat.str-el · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PB2LQKDXIO76B3VIX3L2UMRLCY}

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

1 paper in Pith

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order

Receipt and verification

First computed	2026-07-05T08:29:59.851742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7874b8287743bfe0eea8bed7aa322b1608b75b029f234ba6b922e486a2393f1c

Aliases

arxiv: 2201.12361 · arxiv_version: 2201.12361v3 · doi: 10.48550/arxiv.2201.12361 · pith_short_12: PB2LQKDXIO76 · pith_short_16: PB2LQKDXIO76B3VI · pith_short_8: PB2LQKDX

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/PB2LQKDXIO76B3VIX3L2UMRLCY \
  | 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: 7874b8287743bfe0eea8bed7aa322b1608b75b029f234ba6b922e486a2393f1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0a1943741687a383efa696ad166a84998052518afc95e034d0bd17006821622",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-01-28T14:13:38Z",
    "title_canon_sha256": "48117e667ea7d1d9f5b3e1ece3fb11e6e99b5583652e8bf25d2bb77e03ed2dd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.12361",
    "kind": "arxiv",
    "version": 3
  }
}