Pith Number

pith:33TMPEEA

pith:2026:33TMPEEAMNWWD5XBXZI3BRFHUG

not attested not anchored not stored refs resolved

Seasonal Statistics of Shannon Capacity in a Dynamical Poisson-Voronoi Cellular Network

Fran\c{c}ois Baccelli, Sanjoy Kumar Jhawar

In dynamical cellular networks with moving base stations, Shannon capacity fluctuates in recurring seasonal patterns based on signal and interference strengths at key events.

arxiv:2605.16560 v1 · 2026-05-15 · math.PR · cs.NI

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Claims

C1strongest claim

A comparison study of quality of service and Shannon capacity at these epochs is also provided, among the recurrence of such good or bad scenarios. We can make an analogy with seasons based on the fluctuations of signal and interference power.

C2weakest assumption

The model assumes base stations form a homogeneous Poisson point process on the plane and each moves at constant speed in a uniformly random direction, with the user always connecting to the nearest station at every instant.

C3one line summary

Analysis of Shannon capacity statistics at handover, proximity, and interference epochs in a dynamical Poisson-Voronoi network with an analogy to seasonal fluctuations in signal quality.

References

32 extracted · 32 resolved · 4 Pith anchors

[1] Bell System Tech- nical Journal27(3), 379–423 (1948) https://doi.org/10.1002/j.1538-7305 1948 · doi:10.1002/j.1538-7305

[2] A Tractable Approach to Coverage and Rate in Cellular Networks, 2011

[3] A Primer on Cellular Network Analysis Using Stochastic Geometry 2016 · arXiv:1604.03183

[4] Modeling and Analysis of K-Tier Downlink Heterogeneous Cellular Networks, 2012

[5] Heterogeneous Cellular Networks with Flexible Cell Association: A Comprehensive Down- link SINR Analysis, 2012

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:02:29.148575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dee6c79080636d61f6e1be51b0c4a7a1a49ceb076531efaf8328b87dd7129430

Aliases

arxiv: 2605.16560 · arxiv_version: 2605.16560v1 · doi: 10.48550/arxiv.2605.16560 · pith_short_12: 33TMPEEAMNWW · pith_short_16: 33TMPEEAMNWWD5XB · pith_short_8: 33TMPEEA

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/33TMPEEAMNWWD5XBXZI3BRFHUG \
  | 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: dee6c79080636d61f6e1be51b0c4a7a1a49ceb076531efaf8328b87dd7129430

Canonical record JSON

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    "cross_cats_sorted": [
      "cs.NI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-15T19:03:18Z",
    "title_canon_sha256": "71301425323f61a83b7389130be92c1b3b3330788976e37a4f981bb7dc4e81bc"
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  "source": {
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    "kind": "arxiv",
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