Pith Number

pith:KM3WNPR7

pith:2026:KM3WNPR7UPEH45P5R73R2NNSGZ

not attested not anchored not stored refs pending

The Mpemba effect likes to hit a wall

Fr\'ed\'eric van Wijland, Hisao Hayakawa, Rapha\"el Ch\'etrite, Tan Van Vu, Yue Liu

The one-dimensional Mpemba effect exists because of a hard boundary, not the double-well shape of the potential.

arxiv:2604.01543 v3 · 2026-04-02 · cond-mat.stat-mech

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\pithnumber{KM3WNPR7UPEH45P5R73R2NNSGZ}

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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

We establish that the existence of the one-dimensional Mpemba effect for a polynomial potential is driven solely by the presence of a hard enough boundary, irrespective of the potential's double-well shape.

C2weakest assumption

The analysis assumes a one-dimensional overdamped system with polynomial potentials and hard boundaries; the mapping to real colloidal experiments may require additional unstated assumptions about noise and potential form.

C3one line summary

A hard boundary drives the 1D Mpemba effect for polynomial potentials, not the double-well shape.

Formal links

2 machine-checked theorem links

Cited by

3 papers in Pith

Predicting the conditions for observing the Mpemba effect

Inverse engineering of cooling protocols: from normal behavior to Mpemba effects

Receipt and verification

First computed	2026-07-01T00:17:11.068861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

533766be3fa3c87e75fd8ff71d35b2364f2bed58be366e5f1271f60899913e4d

Aliases

arxiv: 2604.01543 · arxiv_version: 2604.01543v3 · doi: 10.48550/arxiv.2604.01543 · pith_short_12: KM3WNPR7UPEH · pith_short_16: KM3WNPR7UPEH45P5 · pith_short_8: KM3WNPR7

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/KM3WNPR7UPEH45P5R73R2NNSGZ \
  | 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: 533766be3fa3c87e75fd8ff71d35b2364f2bed58be366e5f1271f60899913e4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7f4ff7445b4b9214c5caa8e25c02479569981b58c77bbea8060427a4afee212",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-04-02T02:37:25Z",
    "title_canon_sha256": "a93c78c2fa4f738647ea715aaeae3ef6a7ef19583097d174cebc3cd22d1a99eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.01543",
    "kind": "arxiv",
    "version": 3
  }
}