Pith Number

pith:KIK7CMHR

pith:2026:KIK7CMHRWKYNBLEWN5WDPPDYNG

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Efficient generation of large-scale non-equilibrium distributions of particles

Sergejs Tarasovs

The Swelling and Random Migration algorithm generates statistically representative microstructures of up to 10 million particles with near-linear scaling.

arxiv:2605.18254 v1 · 2026-05-18 · cs.CE

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\pithnumber{KIK7CMHRWKYNBLEWN5WDPPDYNG}

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Record completeness

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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

The SRM algorithm enables simulations with up to 10^7 particles in two and three dimensions with near-linear computational scaling for low to intermediate volume fractions while allowing controlled generation of both equilibrium-like and strongly non-equilibrium particle arrangements.

C2weakest assumption

The adaptive cell-based neighbor-search scheme combined with collective rearrangements preserves statistical representativeness of the target microstructure without introducing systematic biases in pair correlations or higher-order statistics; this is invoked when the paper states that the generated configurations are 'statistically representative' for use in structure-property studies.

C3one line summary

SRM generates statistically representative periodic microstructures with up to 10^7 particles at near-linear cost and produces both equilibrium-like and strongly non-equilibrium arrangements, including platelet networks.

References

33 extracted · 33 resolved · 0 Pith anchors

[1] The Journal of Chemical Physics21(6), 1087–1092 (1953) https://doi.org/10.1063/1.1699114 1953 · doi:10.1063/1.1699114

[2] Geometric Properties of Random Disk Packings Journal of Statistical Physics 60 (5) 1990: pp 1990 · doi:10.1007/bf01025983

[3] How to Simulate Billiards and Similar Systems Journal of Computational Physics 94 (2) 1991: pp 1991 · doi:10.1016/0021-9991(91)90222-7

[4] Numerical Simulation of the Dense Random Packing of a Binary Mixture of Hard Spheres: Amorphous Metals Physical Review B 35 (14) 1987: pp 1987 · doi:10.1103/physrevb.35.7350

[5] Structure Simulation of Concentrated Suspensions of Hard Spherical Particles AIChE Journal 47 (1) 2001: pp 2001 · doi:10.1002/aic.690470108

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:05:52.317740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5215f130f1b2b0d0ac966f6c37bc7869816e00e261d5a4e6a351bc1e952a1db4

Aliases

arxiv: 2605.18254 · arxiv_version: 2605.18254v1 · doi: 10.48550/arxiv.2605.18254 · pith_short_12: KIK7CMHRWKYN · pith_short_16: KIK7CMHRWKYNBLEW · pith_short_8: KIK7CMHR

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KIK7CMHRWKYNBLEWN5WDPPDYNG \
  | 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: 5215f130f1b2b0d0ac966f6c37bc7869816e00e261d5a4e6a351bc1e952a1db4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc11f7261e45899e6062610dce162cb0ff1d614f270909bd15c184e457297d50",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2026-05-18T11:54:44Z",
    "title_canon_sha256": "b7be14994dbcd8ebdbf4c603650c29ddf5cfa475ebbda9d4f72021f8f415a623"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18254",
    "kind": "arxiv",
    "version": 1
  }
}