Pith Number

pith:OPJVMLDP

pith:2025:OPJVMLDPLA5TXKOA3AUQSUWVU7

not attested not anchored not stored refs resolved

Repulsive fermions and shell effects on the surface of a sphere

Andrea Bardin, Lorenzo Frigato, Luca Salasnich

Finite-temperature Stoner criterion obtained for repulsive fermions on a sphere

arxiv:2512.16384 v3 · 2025-12-18 · cond-mat.quant-gas

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\usepackage{pith}
\pithnumber{OPJVMLDPLA5TXKOA3AUQSUWVU7}

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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

We obtain the finite-temperature Stoner criterion for fermions on a sphere, highlighting the interplay between the repulsive interactions and shell effects.

C2weakest assumption

The Hartree-Fock mean-field approximation remains valid near the Stoner instability on the sphere; the paper does not quantify fluctuation corrections that could shift the critical line.

C3one line summary

A repulsive Fermi gas on a sphere shows geometry-induced shell effects that modify low-temperature thermodynamics and produce a finite-temperature Stoner instability criterion for the balanced state.

References

46 extracted · 46 resolved · 0 Pith anchors

[1] I. Bloch, J. Dalibard, and W. Zwerger, Many-body physics with ultracold gases, Rev. Mod. Phys.80, 885 (2008) 2008

[2] C. Gross and I. Bloch, Quantum simulations with ultra- cold atoms in optical lattices, Science357, 995 (2017) 2017

[3] M. Greiner, C. Regal, and D. Jin, Emergence of a molec- ular Bose-Einstein condensate from a Fermi gas, Nature 426, 537 (2004) 2004

[4] J. Cubizolles, T. Bourdel, S. J. J. M. F. Kokkelmans, G. V. Shlyapnikov, and C. Salomon, Production of long- lived ultracold li2 molecules from a Fermi gas, Phys. Rev. Lett.91, 240401 (2003) 2003

[5] S. Gupta, Z. Hadzibabic, M. W. Zwierlein, C. A. Stan, K. Dieckmann, C. H. Schunck, E. G. M. van Kempen, B. J. Verhaar, and W. Ketterle, Radio-frequency spec- troscopy of ultracold fermions, Science300 2003

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-25T02:02:11.569568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73d3562c6f583b3ba9c0d8290952d5a7d12e20e665b3116796829f34014fbee6

Aliases

arxiv: 2512.16384 · arxiv_version: 2512.16384v3 · doi: 10.48550/arxiv.2512.16384 · pith_short_12: OPJVMLDPLA5T · pith_short_16: OPJVMLDPLA5TXKOA · pith_short_8: OPJVMLDP

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/OPJVMLDPLA5TXKOA3AUQSUWVU7 \
  | 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: 73d3562c6f583b3ba9c0d8290952d5a7d12e20e665b3116796829f34014fbee6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e5751c08bff353a849d4606e1e8822f765e117cf6e481d7ff309d856ecb4787",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2025-12-18T10:25:41Z",
    "title_canon_sha256": "63af0c4ff10699c86353a2c396aa2bceba3c4fc230c5d9266ea24d5b513901ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.16384",
    "kind": "arxiv",
    "version": 3
  }
}