Pith Number

pith:33GSYC4F

pith:2026:33GSYC4FQ5LCF5MLBIRVSPX6HJ

not attested not anchored not stored refs resolved

Frustrated Magnetism of the $S = 1$ Trillium-Lattice Oxide Li$_2$NiGe$_3$O$_8$

Yuya Haraguchi

Li₂NiGe₃O₈ realizes frustrated S=1 magnetism on a single trillium lattice without long-range order.

arxiv:2605.12962 v1 · 2026-05-13 · cond-mat.str-el · cond-mat.mtrl-sci

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\usepackage{pith}
\pithnumber{33GSYC4FQ5LCF5MLBIRVSPX6HJ}

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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

These results establish Li₂NiGe₃O₈ as a rare S = 1 single-trillium oxide with frustrated magnetic correlations. The present data provide an experimental platform for discussing the relation between Heisenberg-like and spin-ice-like regimes on the trillium lattice.

C2weakest assumption

The broad heat-capacity maximum and partial entropy recovery are interpreted as signatures of frustration without long-range order, relying on the applicability of the local ferromagnetic Ising model to this S=1 system.

C3one line summary

Li₂NiGe₃O₈ shows frustrated magnetic correlations on its S=1 trillium lattice, with a broad heat capacity maximum near 3 K and 88% entropy recovery consistent with spin-ice-like behavior.

References

42 extracted · 42 resolved · 0 Pith anchors

[1] A. P. Ramirez, Annu. Rev. Mater. Sci. 24, 453 (1994) 1994

[2] R. Moessner and A. P. Ramirez, Phys. Today 59, 24 (2006) 2006

[3] R. Moessner and J. T. Chalker, Phys. Rev. B 58, 12049 (1998) 1998

[4] Balents, Nature 464, 199 (2010) 2010

[5] S. T. Bramwell and M. J. P. Gingras, Science 294, 1495 (2001) 2001

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T03:09:09.123234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

decd2c0b85875622f58b0a23593efe3a778a820fbeadead0189e6f6aa2851a26

Aliases

arxiv: 2605.12962 · arxiv_version: 2605.12962v1 · doi: 10.48550/arxiv.2605.12962 · pith_short_12: 33GSYC4FQ5LC · pith_short_16: 33GSYC4FQ5LCF5ML · pith_short_8: 33GSYC4F

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/33GSYC4FQ5LCF5MLBIRVSPX6HJ \
  | 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: decd2c0b85875622f58b0a23593efe3a778a820fbeadead0189e6f6aa2851a26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bed16cb33cef17581b320582f09a17f510a9791fecf2e0718c6c8a332e8dc6d9",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-05-13T03:53:21Z",
    "title_canon_sha256": "a144aeb3c08a798519571175e57a4b8ee80d1ae5082da88ced5fe9535f6c7074"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.12962",
    "kind": "arxiv",
    "version": 1
  }
}