Pith Number

pith:MTT7VD2L

pith:2026:MTT7VD2LOSMQCN2AITD4JRZVRH

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A Threshold Model for Micrometeoroid Atmospheric Entry: Filippov Dynamics, Survival Estimates, and Survivor-Only Inverse Limits

Md Shahrier Islam Arham, Min Heo, Prasun Panthi

A reduced threshold model for micrometeoroid entry recovers the classical survival scaling of critical radius as the inverse cube of entry velocity.

arxiv:2603.28785 v2 · 2026-03-19 · physics.ao-ph · astro-ph.EP · math.DS

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Claims

C1strongest claim

Under the additional Allen--Eggers assumptions of constant radius, constant entry angle, negligible gravity during the main heating interval, and constant transport coefficients, this threshold yields the classical approximate survival scaling r_0^{crit}∼v_0^{-3}.

C2weakest assumption

The Allen--Eggers assumptions of constant radius, constant entry angle, negligible gravity during the main heating interval, and constant transport coefficients, which are invoked to obtain the classical scaling and exact radius-loss identity.

C3one line summary

A Filippov dynamics threshold model for micrometeoroid entry recovers the classical survival scaling r_0^crit ~ v_0^{-3} and formulates an inverse problem highlighting information loss in survivor-only data.

References

12 extracted · 12 resolved · 0 Pith anchors

[1] Absolute and relative tolerances are set to 10 −10 and 10 −8 respectively

[2] Each trajectory is clas- sified into one of four outcome classes based onTmax, time aboveT melt, and final mass fraction

[3] Base sample sizeN= 8192 givesN×(2n+ 2) = 114 688 model evaluations for n= 6 parameters

[4] For each of theN e = 300 entry bins, NMC = 30 trajectories are launched with parameters jit- tered uniformly within the bin bounds

[5] S. G. Love and D. E. Brownlee, Icarus89, 26 (1991) 1991

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T03:09:22.469229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64e7fa8f4b749901374044c7c4c73589f8bd879416d7280d3411aff6d5474b6a

Aliases

arxiv: 2603.28785 · arxiv_version: 2603.28785v2 · doi: 10.48550/arxiv.2603.28785 · pith_short_12: MTT7VD2LOSMQ · pith_short_16: MTT7VD2LOSMQCN2A · pith_short_8: MTT7VD2L

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MTT7VD2LOSMQCN2AITD4JRZVRH \
  | 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: 64e7fa8f4b749901374044c7c4c73589f8bd879416d7280d3411aff6d5474b6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91f6869eb6fa0dbd0fc4002c542212635e46a5bb08f4ddba08edf5834d6ad48d",
    "cross_cats_sorted": [
      "astro-ph.EP",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.ao-ph",
    "submitted_at": "2026-03-19T22:21:42Z",
    "title_canon_sha256": "ff7f0bd3bdb003e9e7fade91c8a35b7f8e4a5522846b22807bdb52f8ca19dc7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.28785",
    "kind": "arxiv",
    "version": 2
  }
}