Pith Number

pith:GRYJGWSR

pith:2026:GRYJGWSR4HQBP4FPS5O7USLWK7

not attested not anchored not stored refs pending

Robust spin-squeezing with random interaction graphs: the lesson from universality

Andrea Solfanelli, Augusto Smerzi, Nicol\`o Defenu, Peter Zoller

Scalable spin squeezing on quantum networks is governed by the interaction graph's spectral dimension and whether the model is below the symmetry breaking transition.

arxiv:2605.03032 v2 · 2026-05-04 · quant-ph · cond-mat.dis-nn · cond-mat.mes-hall · cond-mat.stat-mech · physics.atom-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{GRYJGWSR4HQBP4FPS5O7USLWK7}

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.

Claims

C1strongest claim

OAT-like scalable squeezing is governed solely by the universal properties of the interaction graph and is controlled by its spectral dimension. In critical squeezing, the value of the spectral dimension only furnishes the necessary condition for scalable metrological gain, while the sufficient condition requires the model to lie below the symmetry breaking transition.

C2weakest assumption

The interacting spin models belong to the xy-ferromagnetic universality class and that percolation universality governs the critical-point scaling on arbitrary inhomogeneous graphs.

C3one line summary

Scalable spin squeezing on arbitrary quantum networks is achievable when the interaction graph's spectral dimension meets universal criteria and the system lies below the xy-ferromagnetic symmetry breaking transition.

Formal links

3 machine-checked theorem links

Cited by

1 paper in Pith

Universal Spin Squeezing Dynamical Phase Transitions across Lattice Geometries, Dimensions, and Microscopic Couplings

Receipt and verification

First computed	2026-05-26T02:05:10.025623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3470935a51e1e017f0af975dfa497657c02e22819db6a5da9cf8965fdd1ac0f7

Aliases

arxiv: 2605.03032 · arxiv_version: 2605.03032v2 · doi: 10.48550/arxiv.2605.03032 · pith_short_12: GRYJGWSR4HQB · pith_short_16: GRYJGWSR4HQBP4FP · pith_short_8: GRYJGWSR

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/GRYJGWSR4HQBP4FPS5O7USLWK7 \
  | 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: 3470935a51e1e017f0af975dfa497657c02e22819db6a5da9cf8965fdd1ac0f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c1ef9137225fc9e0361e46588eb75578c50b3ddc5220e34be6ccdfeebfa4d17",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.mes-hall",
      "cond-mat.stat-mech",
      "physics.atom-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-04T18:02:05Z",
    "title_canon_sha256": "49bab62fd05162d43d9af1344f92c45562f2c9dd5c8e9079c653100995c574e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.03032",
    "kind": "arxiv",
    "version": 2
  }
}