Pith Number

pith:6P3RWPQK

pith:2026:6P3RWPQKDCRVMHTNJOTFESRSFT

not attested not anchored not stored refs resolved

On the Numerical Stability of the Diffusion Coefficient in Microscopic Simulations

Ilya Kudryashov, Vladimir Yurovsky

Velocity errors affect diffusion coefficients more than spatial errors in cosmic ray simulations.

arxiv:2605.12637 v1 · 2026-05-12 · astro-ph.IM · astro-ph.HE

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\usepackage{pith}
\pithnumber{6P3RWPQKDCRVMHTNJOTFESRSFT}

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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 found that velocity errors have a greater impact on the result than spatial ones.

C2weakest assumption

That the identified numerical errors are the dominant factor affecting the diffusion coefficient without other unaccounted simulation artifacts or model assumptions.

C3one line summary

Velocity errors affect diffusion coefficient results more than spatial errors in microscopic simulations of Galactic Cosmic Rays.

References

16 extracted · 16 resolved · 0 Pith anchors

[1] The divergence of the curves for small path lengths is due to the absence of trajectory points 4 and the odd transformation of the curves in double logarithmic scales 5

[2] We can observe that the more velocity error the 9 FIG

[3] M. ´Angel Velasco, J. Casaus, and M. Molero, Determination of the anisotropy of elementary particles with the alpha magnetic spectrometer on the international space station, Advances in Space Research 2024

[4] P.-X. Ma, Z.-H. Xu, Q. Yuan, X.-J. Bi, Y.-Z. Fan, I. V. Moskalenko, and C. Yue, Interpreta- tions of the cosmic ray secondary-to-primary ratios measured by dampe, Frontiers of Physics 18, 44301 (2023) 2023

[5] J. A. Simpson and M. Garcia-Munoz, Cosmic-ray lifetime in the galaxy: Experimental results and models, Space Science Reviews46, 205 (1988) 1988

Receipt and verification

First computed	2026-05-18T03:10:00.055877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3f71b3e0a18a3561e6d4ba6524a322cc244b1493278cfa92cde63ab47a3036c

Aliases

arxiv: 2605.12637 · arxiv_version: 2605.12637v1 · doi: 10.48550/arxiv.2605.12637 · pith_short_12: 6P3RWPQKDCRV · pith_short_16: 6P3RWPQKDCRVMHTN · pith_short_8: 6P3RWPQK

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/6P3RWPQKDCRVMHTNJOTFESRSFT \
  | 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: f3f71b3e0a18a3561e6d4ba6524a322cc244b1493278cfa92cde63ab47a3036c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66b4a5acdb2fb4a1a944fb2be8feddb553d5bfb74b703433abbd846b6789d7f1",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2026-05-12T18:29:08Z",
    "title_canon_sha256": "4ed2d72309680056cf2ce57607816be458ab4dd56d26aecb0b440a383bcd69dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.12637",
    "kind": "arxiv",
    "version": 1
  }
}