Pith Number

pith:TAMFPLPH

pith:2026:TAMFPLPHHOJDCWFVETW6AGZAAM

not attested not anchored not stored refs pending

Shape of temperature dependence of spontaneous magnetization of various ferromagnets

A. Perevertov

Spontaneous magnetization temperature curves in ferromagnets follow superellipses whose squareness increases with Curie temperature in metallic alloys.

arxiv:2604.03704 v2 · 2026-04-04 · cond-mat.mtrl-sci

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\usepackage{pith}
\pithnumber{TAMFPLPHHOJDCWFVETW6AGZAAM}

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Record completeness

1 Bitcoin timestamp

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 squareness parameter (power coefficient in the superellipse equation) reflects coupling strength between the nuclei vibrations and magnetic moments of electrons, and for metallic alloys squareness increases with the Curie temperature.

C2weakest assumption

That the superellipse (Lame curve) provides a physically meaningful model whose fitted power coefficient directly corresponds to the coupling strength between vibrations and magnetic moments, rather than being a convenient empirical descriptor.

C3one line summary

Spontaneous magnetization curves in ferromagnets fit superellipse shapes with squareness parameter 1.4-3.0 that generally increases with Curie temperature in alloys.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-04T01:08:49.579659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

981857ade73b923158b524ede01b200315b9e0a7f884595bf07daa235e680b8e

Aliases

arxiv: 2604.03704 · arxiv_version: 2604.03704v2 · doi: 10.48550/arxiv.2604.03704 · pith_short_12: TAMFPLPHHOJD · pith_short_16: TAMFPLPHHOJDCWFV · pith_short_8: TAMFPLPH

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/TAMFPLPHHOJDCWFVETW6AGZAAM \
  | 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: 981857ade73b923158b524ede01b200315b9e0a7f884595bf07daa235e680b8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f19d11f3f295689b3e3becd64c7c35b0233ebf9f857ad73a6ccedc2e79b38126",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2026-04-04T12:19:22Z",
    "title_canon_sha256": "f0bdc12381ca0054419f5f449f386d3a266f57687b6fb620f609db9680c969c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.03704",
    "kind": "arxiv",
    "version": 2
  }
}