Pith Number

pith:UEVPOKVO

pith:2026:UEVPOKVOQZYBRPWCPRMYSPKM7A

not attested not anchored not stored refs resolved

Shot noise generated by subpopulations of neural networks

J. Zhu, O. A. Goryunov, S. Yu. Kirillov, V. V. Klinshov

Subpopulation shot noise in neural networks arises from a mixture of two distinct spectral components rather than simple scaling.

arxiv:2605.16982 v1 · 2026-05-16 · nlin.CD

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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 subpopulation shot noise spectrum is not a simple scaled version of the full population's noise; instead it arises from a non-trivial mixture of two distinct spectral components, and an analytical expression for its power spectral density is derived that shows excellent agreement with simulations.

C2weakest assumption

The generalization of the nesting method and the previously developed reduction technique for non-Lorentzian distributions of local neuron parameters are valid and sufficient to capture the subpopulation dynamics and noise spectrum.

C3one line summary

Derives analytical PSD for subpopulation shot noise showing non-trivial dependence on subpopulation size as a mixture of two spectral components, with good match to simulations.

References

30 extracted · 30 resolved · 0 Pith anchors

[1] Modular and hierarchically modular organization of brain networks, 2010

[2] Rich-club organization of the human connectome, 2011

[3] Effect of interpopulation spike-timing-dependent plasticity on synchronized rhythms in neuronal networks with inhibitory and excitatory populations, 2020

[4] Excitatory and inhibitory interactions in localized populations of model neurons, 1972

[5] Electroencephalogram and visual evoked potential generation in a mathematical model of coupled cortical columns, 1995

Receipt and verification

First computed	2026-05-20T00:03:34.341992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a12af72aae867018bec27c59893d4cf817860ad9b7f150396bc55160a917a94f

Aliases

arxiv: 2605.16982 · arxiv_version: 2605.16982v1 · doi: 10.48550/arxiv.2605.16982 · pith_short_12: UEVPOKVOQZYB · pith_short_16: UEVPOKVOQZYBRPWC · pith_short_8: UEVPOKVO

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/UEVPOKVOQZYBRPWCPRMYSPKM7A \
  | 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: a12af72aae867018bec27c59893d4cf817860ad9b7f150396bc55160a917a94f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7f034cdc54138df880bee1f794a7cc5843933f449d462814718edebe3cd78f9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2026-05-16T13:03:01Z",
    "title_canon_sha256": "fd653c16bab4eafce712b8f1ecfca2df3b90e60d2eb81aa877b963a4466efd9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16982",
    "kind": "arxiv",
    "version": 1
  }
}