Pith Number

pith:XHH6RFN5

pith:2026:XHH6RFN55QCWKMFEHGFNLRD6S7

not attested not anchored not stored refs pending

Direct Experimental Test of Conformal Invariance via Grazing Scattering: A Proposal for X-ray and Neutron Experiments

Alessandro Podo, Slava Rychkov

A differential constraint on grazing scattering cross-sections provides a direct test of conformal invariance in critical phenomena.

arxiv:2605.06773 v2 · 2026-05-07 · cond-mat.stat-mech · cond-mat.mtrl-sci · cond-mat.soft · cond-mat.str-el · hep-th

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\usepackage{pith}
\pithnumber{XHH6RFN55QCWKMFEHGFNLRD6S7}

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Record completeness

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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

This would be the first direct experimental test of conformal invariance in critical phenomena, a symmetry widely assumed but never directly verified. Experimental verification, using e.g. binary alloys, appears well within the existing techniques.

C2weakest assumption

That the conformal Ward identity for a two-point function with a boundary translates cleanly into a measurable differential constraint on the grazing scattering cross-section without dominant corrections from finite-size effects, surface roughness, or non-universal contributions.

C3one line summary

The paper proposes an experimental protocol for grazing-incidence X-ray or neutron scattering that would directly test conformal invariance in critical phenomena by verifying a momentum-space differential constraint on the scattering cross-section.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-26T01:03:32.599147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9cfe895bdec056530a4398ad5c47e97fd9339845aae12d2528107b0540622e4

Aliases

arxiv: 2605.06773 · arxiv_version: 2605.06773v2 · doi: 10.48550/arxiv.2605.06773 · pith_short_12: XHH6RFN55QCW · pith_short_16: XHH6RFN55QCWKMFE · pith_short_8: XHH6RFN5

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/XHH6RFN55QCWKMFEHGFNLRD6S7 \
  | 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: b9cfe895bdec056530a4398ad5c47e97fd9339845aae12d2528107b0540622e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "755a14a604b1cc8e73aa0989d23ccd1ff5d5e432cdfb02138f0a9b7ea11a0359",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "cond-mat.soft",
      "cond-mat.str-el",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-05-07T18:00:01Z",
    "title_canon_sha256": "75a5ecc7a1189ec7d3ed6e82bc05dcc84a7b669c730ea904a0976c3ded86730b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.06773",
    "kind": "arxiv",
    "version": 2
  }
}