Pith Number

pith:VEROC7JL

pith:2026:VEROC7JLHQIHPH5EZVQD42OGX5

not attested not anchored not stored refs pending

Replacing Gaussian Processes with Neural Networks in Pulsar Timing Array Inference of the Gravitational-Wave Background

Chris Gordon, Shreyas Tiruvaskar

Probabilistic neural networks can replace Gaussian process interpolators in pulsar timing array analyses of nanohertz gravitational wave backgrounds, producing matching posteriors at lower computational cost.

arxiv:2604.04340 v3 · 2026-04-06 · astro-ph.CO · physics.data-an

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\pithnumber{VEROC7JLHQIHPH5EZVQD42OGX5}

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Record completeness

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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

We find that neural networks recover consistent posteriors while significantly reducing both training and Markov chain Monte Carlo runtime, with the largest gains for the more computationally demanding model.

C2weakest assumption

The neural networks, once trained on a finite set of strain-spectrum evaluations, accurately generalize across the full prior volume of the target models without introducing systematic biases into the recovered posteriors.

C3one line summary

Probabilistic neural networks recover consistent posteriors to Gaussian processes in PTA gravitational-wave background inference while substantially reducing training and MCMC runtime.

Cited by

1 paper in Pith

Replacing Gaussian Processes with Neural Networks in Pulsar Timing Array Inference of the Gravitational-Wave Background

Receipt and verification

First computed	2026-06-01T01:02:39.121282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a922e17d2b3c10779fa4cd603e69c6bf7f7a1ce7661307c4ef93ef8478fab300

Aliases

arxiv: 2604.04340 · arxiv_version: 2604.04340v3 · doi: 10.48550/arxiv.2604.04340 · pith_short_12: VEROC7JLHQIH · pith_short_16: VEROC7JLHQIHPH5E · pith_short_8: VEROC7JL

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VEROC7JLHQIHPH5EZVQD42OGX5 \
  | 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: a922e17d2b3c10779fa4cd603e69c6bf7f7a1ce7661307c4ef93ef8478fab300

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff65847a213265ce776fcf11d93585b13ffe9155fb0313bc0c5d795d067a5c9e",
    "cross_cats_sorted": [
      "physics.data-an"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-04-06T01:18:42Z",
    "title_canon_sha256": "abcbd944433e96746cc934e30bed22b08dcf2e209c7e7ddae0cb8ef39fdc65e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.04340",
    "kind": "arxiv",
    "version": 3
  }
}