Pith Number

pith:BIIORHHV

pith:2026:BIIORHHVMAG54VNHBPQ2QR4IWA

not attested not anchored not stored refs resolved

Getting rid of the ghosts: a toy-model of membrane melting

Olivier Coquand

The fixed point P2 describes the melting of a crystalline membrane into a fluid one, yielding correlation functions free of ghosts.

arxiv:2605.17579 v1 · 2026-05-17 · cond-mat.soft · hep-th

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\usepackage{pith}
\pithnumber{BIIORHHVMAG54VNHBPQ2QR4IWA}

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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

The fixed point P2 is a good candidate to describe the melting of a crystalline membrane. The generation of a fluid membrane by melting a bidimensional crystal allows to formulate its correlation functions without being plagued by the ghosts that inevitably show up in the usual Canham-Helfrich action relying on the Monge parametrisation.

C2weakest assumption

The proper Goldstone mode counting around each of the two critical regimes correctly determines which fluctuations dominate the large-scale spectrum and thereby selects P2 as the melting fixed point.

C3one line summary

RG analysis of crystalline membrane fluctuations identifies P2 as the fixed point for melting and yields a ghost-free description of fluid membrane correlations via the melting process.

References

27 extracted · 27 resolved · 0 Pith anchors

[1] D. Nelson, T. Piran, and S. Weinberg,Proceedings of the Fifth Jerusalem Winter School for Theoretical Physics (Word Scientific Singapore, 2004) 2004

[2] N. Mermin and H. Wagner, Phys. Rev. Lett.17(1966) 1966

[3] O. Coquand, Phys. Rev. B100, 125406 (2019) 2019

[4] de Gennes and C 1982

[5] G. Gueguen, N. Destainville, and M. Manghi, Soft Matter 13, 6100 (2017) 2017

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:04:46.931905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a10e89cf5600dde55a70be1a84788b01689a957c972cd91b2e3ff071389d546

Aliases

arxiv: 2605.17579 · arxiv_version: 2605.17579v1 · doi: 10.48550/arxiv.2605.17579 · pith_short_12: BIIORHHVMAG5 · pith_short_16: BIIORHHVMAG54VNH · pith_short_8: BIIORHHV

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/BIIORHHVMAG54VNHBPQ2QR4IWA \
  | 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: 0a10e89cf5600dde55a70be1a84788b01689a957c972cd91b2e3ff071389d546

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa8ecb540e65f016e539feac8455c2bf1247da4f618a33f24e0cd809aab19de4",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2026-05-17T18:11:18Z",
    "title_canon_sha256": "063e5c7021cd8d5e284d6fba2a1e4a3329a28a056ac2b1eb289ac9a610f661a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17579",
    "kind": "arxiv",
    "version": 1
  }
}