Pith Number

pith:BGKDPCQZ

pith:2026:BGKDPCQZITFV6OPQDDET36NIWF

not attested not anchored not stored refs resolved

Strong universality class in disordered systems

Fernando A. Oliveira, Henrique A Lima, Ismael S. S. Carrasco, Jairo R. L. de Almeida, Kaue Hermann

A subgroup of critical exponents and fractal dimensions stays fixed under disorder, defining a strong universality class.

arxiv:2605.15441 v1 · 2026-05-14 · cond-mat.stat-mech

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\pithnumber{BGKDPCQZITFV6OPQDDET36NIWF}

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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

there is a subgroup of critical exponents and fractal dimensions that are invariant with disorder. This subgroup heralds a strong universality class.

C2weakest assumption

The assumption that the observed invariance of the subgroup is not an artifact of the specific Monte Carlo implementation, finite-size scaling choices, or the particular way fractal dimensions are extracted from the correlation function at Tc.

C3one line summary

Monte Carlo study of the Edwards-Anderson model finds that disorder modifies some critical exponents while a subgroup of exponents and fractal dimensions stays invariant, defining a strong universality class.

References

69 extracted · 69 resolved · 1 Pith anchors

[1] R. Elliott, J. Krumhansl, and P. Leath, Reviews of mod- ern physics46, 465 (1974) 1974

[2] K. Binder and A. P. Young, Reviews of Modern Physics 58, 801 (1986) 1986

[3] K. Binder and W. Kob,Glassy materials and disor- dered solids: An introduction to their statistical mechan- ics(World scientific, 2011) 2011

[4] J. L. Cardy, Physical Review B29, 505 (1984) 1984

[5] S. F. Edwards and P. W. Anderson, Journal of Physics F: Metal Physics5, 965 (1975) 1975

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:00:58.730086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0994378a1944cb5f39f018c93df9a8b16945dfcac8a07314583de195796b0964

Aliases

arxiv: 2605.15441 · arxiv_version: 2605.15441v1 · doi: 10.48550/arxiv.2605.15441 · pith_short_12: BGKDPCQZITFV · pith_short_16: BGKDPCQZITFV6OPQ · pith_short_8: BGKDPCQZ

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/BGKDPCQZITFV6OPQDDET36NIWF \
  | 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: 0994378a1944cb5f39f018c93df9a8b16945dfcac8a07314583de195796b0964

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52dfb67826e4123cdab951133eb9b771e62cfb358a9d1ababda0b37b26bebb9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-05-14T21:52:16Z",
    "title_canon_sha256": "3a08b4e96f2641a505f5de00c416b3a8fc5c7955bf10bec30a784a78923fc402"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15441",
    "kind": "arxiv",
    "version": 1
  }
}