Pith Number

pith:UVILU2CE

pith:2023:UVILU2CEFZSUVEJZ2HAPYVLYRX

not attested not anchored not stored refs pending

The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Daniel Pajer, Lakshya Bhardwaj, Lea E. Bottini, Sakura Schafer-Nameki

arxiv:2312.17322 v3 · 2023-12-28 · hep-th · cond-mat.str-el · math.CT

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\usepackage{pith}
\pithnumber{UVILU2CEFZSUVEJZ2HAPYVLYRX}

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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

12 papers in Pith

Notes on (-2)-form symmetries

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

Twin Phases: Intrinsic Deconfined Quantum Criticality

Twin Algebras: Condensable Algebras beyond Anyons

Lattice Models for Phases and Transitions with Non-Invertible Symmetries

Receipt and verification

First computed	2026-07-05T11:02:10.004302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a550ba68442e654a9139d1c0fc55788dedf3097a29998d3daad806e66183d1a9

Aliases

arxiv: 2312.17322 · arxiv_version: 2312.17322v3 · doi: 10.48550/arxiv.2312.17322 · pith_short_12: UVILU2CEFZSU · pith_short_16: UVILU2CEFZSUVEJZ · pith_short_8: UVILU2CE

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/UVILU2CEFZSUVEJZ2HAPYVLYRX \
  | 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: a550ba68442e654a9139d1c0fc55788dedf3097a29998d3daad806e66183d1a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71de49a3b854208927366b94540f3a1b9953f5aa0f5ce01862bd7a4679f0eaad",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-12-28T19:00:13Z",
    "title_canon_sha256": "00c30a969843d5fba0941b18af1f8fdd089f828351d79a910f7598e21e09f840"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.17322",
    "kind": "arxiv",
    "version": 3
  }
}