Pith Number

pith:CXLMHIT3

pith:2026:CXLMHIT3AFJA62O6YBHNZBH2SK

not attested not anchored not stored refs resolved

A microcanonical approach to criticality in the mean-field $\phi^4$ model: evidence of intrinsic microcanonical structure before the thermodynamic limit

Loris Di Cairano, Roberto Franzosi

Microcanonical entropy derivatives encode criticality through intrinsic inflection morphologies at finite N in the mean-field φ⁴ model.

arxiv:2605.14198 v1 · 2026-05-13 · cond-mat.stat-mech

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\usepackage{pith}
\pithnumber{CXLMHIT3AFJA62O6YBHNZBH2SK}

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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

✓ 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

the MIPA trajectory converges to the exact thermodynamic critical point while simultaneously organizing the approach of other observables to their asymptotic behavior.

C2weakest assumption

that microcanonical entropy derivatives encode the critical structure in intrinsic extremal/inflection morphologies at finite N, independent of the thermodynamic limit definition.

C3one line summary

Microcanonical inflection-point analysis identifies intrinsic critical markers in finite-N mean-field φ⁴ models that converge to the thermodynamic critical point.

References

49 extracted · 49 resolved · 0 Pith anchors

[1] K. Qi and M. Bachmann,Classification of phase transitions by microcanonical inflection-point analysis, Phys. Rev. Lett.120, 180601 (2018) 2018

[2] P. M. Stevenson,Optimized perturbation theory, Phys. Rev. D 23, 2916 (1981) 1981

[3] P. M. Stevenson,Resolution of the renormalisation-scheme am- biguity in perturbative QCD, Phys. Lett. B100, 61–64 (1981) 1981

[4] C.-N. Yang and T.-D. Lee,Statistical theory of equations of state and phase transitions. I. Theory of condensation, Phys. Rev.87, 404 (1952) 1952

[5] T.-D. Lee and C.-N. Yang,Statistical theory of equations of state and phase transitions. II. Lattice gas and Ising model, Phys. Rev.87, 410 (1952) 1952

Receipt and verification

First computed	2026-05-17T23:39:11.073753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15d6c3a27b01520f69dec04edc84fa9288e141e5e5e08e914e1dab52c3e64d66

Aliases

arxiv: 2605.14198 · arxiv_version: 2605.14198v1 · doi: 10.48550/arxiv.2605.14198 · pith_short_12: CXLMHIT3AFJA · pith_short_16: CXLMHIT3AFJA62O6 · pith_short_8: CXLMHIT3

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/CXLMHIT3AFJA62O6YBHNZBH2SK \
  | 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: 15d6c3a27b01520f69dec04edc84fa9288e141e5e5e08e914e1dab52c3e64d66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3975179d356e8c029648f90c82e99f6b1376cf5344354cb68bad938df8193e9b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-05-13T23:29:52Z",
    "title_canon_sha256": "25a5a99aab897a9bf1b67e25b4dc2da73335c8c86fd8c406b0fb4fe9e98a62eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14198",
    "kind": "arxiv",
    "version": 1
  }
}