Pith Number

pith:3ZHGHB4X

pith:2026:3ZHGHB4XGPHT3Q63RAMNE2FNA7

not attested not anchored not stored refs resolved

Exposure-averaged Gaussian Processes for Combining Overlapping Datasets

Jacob K. Luhn, Lily L. Zhao, Ryan A. Rubenzahl, Samuel Halverson

Exposure-averaged Gaussian processes enable combining overlapping stellar datasets with different exposure times.

arxiv:2601.02462 v2 · 2026-01-05 · astro-ph.IM · astro-ph.EP · astro-ph.SR

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

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 present a GP framework that accounts for exposure times by computing integrated forms of the instantaneous kernels typically used. These functions allow one to predict the true latent oscillation signals and the exposure-binned version expected by each instrument.

C2weakest assumption

That the stellar variability is adequately described by the chosen instantaneous GP kernels (e.g., damped driven SHO) and that relative instrumental drifts can be modeled as separable additive components without significant leakage into the stellar signal.

C3one line summary

Exposure-integrated Gaussian processes allow prediction of both latent stellar signals and instrument-specific binned versions, supporting combination of overlapping EPRV datasets with varying exposure times.

References

50 extracted · 50 resolved · 2 Pith anchors

[1] 2023, ARA&A, 61, 329, doi: 10.1146/annurev-astro-052920-103508 2023 · doi:10.1146/annurev-astro-052920-103508

[2] 2011, MNRAS, 417, 2300, doi: 10.1111/j.1365-2966.2011.19412.x 2012 · doi:10.1111/j.1365-2966.2011.19960.x

[3] Banerjee, S., Gelfand, A. E., Finley, A. O., & Sang, H. 2008, Journal of the Royal Statistical Society Series B, 70, 825, doi: 10.1111/j.1467-9868.2008.00663.x 2008 · doi:10.1111/j.1467-9868.2008.00663.x

[4] 2015, ApJ, 800, 46, doi: 10.1088/0004-637X/800/1/46 2015 · doi:10.1088/0004-637x/800/1/46

[5] Blackman, R. T., Fischer, D. A., Jurgenson, C. A., et al. 2020, AJ, 159, 238, doi: 10.3847/1538-3881/ab811d 2020 · doi:10.3847/1538-3881/ab811d

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T03:10:11.426018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de4e63879733cf3dc3db8818d268ad07c12c0c9f0c731790bae01952d6440207

Aliases

arxiv: 2601.02462 · arxiv_version: 2601.02462v2 · doi: 10.48550/arxiv.2601.02462 · pith_short_12: 3ZHGHB4XGPHT · pith_short_16: 3ZHGHB4XGPHT3Q63 · pith_short_8: 3ZHGHB4X

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3ZHGHB4XGPHT3Q63RAMNE2FNA7 \
  | 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: de4e63879733cf3dc3db8818d268ad07c12c0c9f0c731790bae01952d6440207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0c17d06e9cddfa8c19f29bfde6e266f782a485261332d11720706f5635f353d",
    "cross_cats_sorted": [
      "astro-ph.EP",
      "astro-ph.SR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2026-01-05T19:00:00Z",
    "title_canon_sha256": "b2bf99371abd74c428999799fac61ac76113a81e6023df54c3b4680e63133765"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.02462",
    "kind": "arxiv",
    "version": 2
  }
}