Pith Number

pith:6FXJC4DI

pith:2026:6FXJC4DIAI7EWSFAAMLHIRIFD4

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Field Theory of Data: Anomaly Detection via the Functional Renormalization Group. The 2D Ising Model as a Benchmark

Dine Ousmane Samary, Parham Radpay, Riccardo Finotello, Vincent Lahoche

Anomaly detection maps to renormalization group flows where the noise-to-signal ratio acts as temperature in an effective equilibrium field theory.

arxiv:2605.11138 v2 · 2026-05-11 · cond-mat.stat-mech · cs.IT · hep-th · math.IT · stat.ME

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\usepackage{pith}
\pithnumber{6FXJC4DIAI7EWSFAAMLHIRIFD4}

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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

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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

Applying the Functional Renormalization Group to the two-dimensional Model A, the noise-to-signal ratio acts as a physical temperature where the signal emerges as ordered domains, identifying critical thresholds with an error below 4% and outperforming Kullback-Leibler divergence.

C2weakest assumption

That the detection of phase transitions in interacting non-equilibrium systems maps to the study of an effective equilibrium field theory near its Gaussian fixed point, which is identified with the universal Marchenko-Pastur distribution.

C3one line summary

Anomaly detection is mapped to the RG flow of a non-equilibrium field theory, with the 2D Ising model benchmark showing critical threshold identification error below 4% by treating noise-to-signal as effective temperature.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-25T02:02:16.604999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f16e917068023e4b48a003167445051f24f53056bb4140a6586529c3ab36e08a

Aliases

arxiv: 2605.11138 · arxiv_version: 2605.11138v2 · doi: 10.48550/arxiv.2605.11138 · pith_short_12: 6FXJC4DIAI7E · pith_short_16: 6FXJC4DIAI7EWSFA · pith_short_8: 6FXJC4DI

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/6FXJC4DIAI7EWSFAAMLHIRIFD4 \
  | 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: f16e917068023e4b48a003167445051f24f53056bb4140a6586529c3ab36e08a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbbc8b592393c677fe196c8419c31fe02f0353cfe338b46c6d96a13884d0ef1a",
    "cross_cats_sorted": [
      "cs.IT",
      "hep-th",
      "math.IT",
      "stat.ME"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-05-11T18:43:14Z",
    "title_canon_sha256": "7c27cf7ae8183fd9329b35f53b689f01e342cf14cd523e5583a2348e084e6c7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.11138",
    "kind": "arxiv",
    "version": 2
  }
}