Pith Number

pith:X3VMMHFE

pith:2026:X3VMMHFE4V55UFWUS6UTEUFKVY

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How to quantify long-time rotational motion in molecular systems

Fran\c{c}ois Villemot, Hadrien Bobas, Jean-Louis Barrat, Ludovic Berthier, Romain Simon

Existing methods for quantifying rotational motion fail in supercooled liquids with slow or heterogeneous dynamics, but a new empirical method succeeds.

arxiv:2604.21512 v2 · 2026-04-23 · cond-mat.stat-mech · cond-mat.dis-nn · cond-mat.mtrl-sci · cond-mat.soft · physics.chem-ph

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\usepackage{pith}
\pithnumber{X3VMMHFE4V55UFWUS6UTEUFKVY}

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Record completeness

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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 then introduce an empirical method that efficiently solves all issues. We benchmark our method devising a family of continuous time random walk models for rotational dynamics. Our method correctly quantifies the statistics of free and caged rotational motion, as well as non-Gaussian and non-Fickian rotational dynamics.

C2weakest assumption

That the family of continuous time random walk models used for benchmarking adequately represents the full range of complex, heterogeneous rotational dynamics found in real molecular supercooled liquids, and that the empirical method generalizes beyond these specific models.

C3one line summary

Existing methods fail to quantify complex rotational dynamics in molecular fluids, and a new empirical method is proposed that correctly captures free, caged, non-Gaussian, and non-Fickian rotational motion.

Receipt and verification

First computed	2026-06-23T01:12:07.484368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beeac61ca4e57bda16d497a93250aaae381fd6d6947c9750ec94b6577385a6dc

Aliases

arxiv: 2604.21512 · arxiv_version: 2604.21512v2 · doi: 10.48550/arxiv.2604.21512 · pith_short_12: X3VMMHFE4V55 · pith_short_16: X3VMMHFE4V55UFWU · pith_short_8: X3VMMHFE

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/X3VMMHFE4V55UFWUS6UTEUFKVY \
  | 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: beeac61ca4e57bda16d497a93250aaae381fd6d6947c9750ec94b6577385a6dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a058bf16b91e2c06261f21746b6d165a2465568d744d4ef4e5e55fc2d223197e",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.mtrl-sci",
      "cond-mat.soft",
      "physics.chem-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-04-23T10:15:40Z",
    "title_canon_sha256": "b19493ace66a6d08a9f9f5f88b7d3df7016974da6a81bb79ad359e508f14368c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.21512",
    "kind": "arxiv",
    "version": 2
  }
}