Pith Number

pith:WOZY6VXF

pith:2025:WOZY6VXFMUHPRIBJYWOP2DHJ6G

not attested not anchored not stored refs pending

On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model

Benjamin Hinrichs, Mino Nicola Kraft, Steffen Polzer, Volker Betz

arxiv:2501.19362 v1 · 2025-01-31 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WOZY6VXFMUHPRIBJYWOP2DHJ6G}

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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

4 papers in Pith

No-Go Theorem for BEC in the Nelson and Pauli--Fierz Models

A Feynman-Kac Formula for the Subcritical Ultraviolet-Renormalized Spin Boson Model

No-Go Theorem for Quasiparticle BEC in the Spin-Boson Model

Receipt and verification

First computed	2026-07-05T10:08:00.133532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3b38f56e5650ef8a029c59cfd0ce9f1aea6fd4b9db014e8177e945751de5c4e

Aliases

arxiv: 2501.19362 · arxiv_version: 2501.19362v1 · doi: 10.48550/arxiv.2501.19362 · pith_short_12: WOZY6VXFMUHP · pith_short_16: WOZY6VXFMUHPRIBJ · pith_short_8: WOZY6VXF

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/WOZY6VXFMUHPRIBJYWOP2DHJ6G \
  | 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: b3b38f56e5650ef8a029c59cfd0ce9f1aea6fd4b9db014e8177e945751de5c4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "468850b1e17ab5696e9284e02e3f83677b4ad176532a7cece29e56e342bb05a6",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-01-31T18:12:48Z",
    "title_canon_sha256": "22e77c8bfdccfbb83fd90e65a56fc907e635de68b38cfe4368bfb4b49d4e6dd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.19362",
    "kind": "arxiv",
    "version": 1
  }
}