Pith Number

pith:PTNN3UJZ

pith:2026:PTNN3UJZWIXESSKNTHAR2CXXCL

not attested not anchored not stored refs pending

GP-4DGS: Probabilistic 4D Gaussian Splatting from Monocular Video via Variational Gaussian Processes

Bohyung Han, Jungtaek Kim, Mijeong Kim

GP-4DGS integrates variational Gaussian Processes into 4D Gaussian Splatting to enable probabilistic modeling of dynamic scenes from monocular video.

arxiv:2604.02915 v2 · 2026-04-03 · cs.CV

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\usepackage{pith}
\pithnumber{PTNN3UJZWIXESSKNTHAR2CXXCL}

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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

✓ Portable graph bundle live · download bundle · merged state

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

By leveraging the kernel-based probabilistic nature of GPs, our approach introduces three key capabilities: (i) uncertainty quantification for motion predictions, (ii) motion estimation for unobserved or sparsely sampled regions, and (iii) temporal extrapolation beyond observed training frames.

C2weakest assumption

That the designed spatio-temporal kernels can effectively capture the correlation structure of deformation fields for the large number of Gaussian primitives in 4DGS, enabling tractable variational inference without losing fidelity.

C3one line summary

GP-4DGS uses variational Gaussian Processes with spatio-temporal kernels to provide uncertainty-aware reconstruction and prediction in 4D Gaussian Splatting for dynamic scenes.

Receipt and verification

First computed	2026-07-09T01:20:04.172770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cdaddd139b22e49494d99c11d0af712db7cb9de7a3e0c91e65126fcc0539119

Aliases

arxiv: 2604.02915 · arxiv_version: 2604.02915v2 · doi: 10.48550/arxiv.2604.02915 · pith_short_12: PTNN3UJZWIXE · pith_short_16: PTNN3UJZWIXESSKN · pith_short_8: PTNN3UJZ

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PTNN3UJZWIXESSKNTHAR2CXXCL \
  | 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: 7cdaddd139b22e49494d99c11d0af712db7cb9de7a3e0c91e65126fcc0539119

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11128a10034f8352ccd9acc6f1e82ce40ed1c17463d2da8a0ed69cd792601582",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CV",
    "submitted_at": "2026-04-03T09:33:43Z",
    "title_canon_sha256": "f9b48bb1e07ccc66316ed7c2654b8ecea0fb3a463452ae4de5520d51a951cb78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.02915",
    "kind": "arxiv",
    "version": 2
  }
}