Pith Number

pith:DYJH5DUB

pith:2026:DYJH5DUB5I5PEQAWR4TBJSHS7C

not attested not anchored not stored refs pending

Pressure reconstruction from error-embedded gradient measurements: a Gaussian-process generalization of Green's function integration

Mohamed Amine Abassi, Qi Wang, Xiaofeng Liu, Zejian You

Gaussian process regression generalizes Green's function integration to reconstruct pressure from noisy gradient data without boundary conditions.

arxiv:2605.11293 v2 · 2026-05-11 · physics.flu-dyn

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\usepackage{pith}
\pithnumber{DYJH5DUB5I5PEQAWR4TBJSHS7C}

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Record completeness

1 Bitcoin timestamp

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

A central theoretical result of the present work is that GFI is the noiseless limit of GPR, which on the unbounded plane reduces to the well-known logarithmic kernel and in three dimensions to the inverse-distance kernel.

C2weakest assumption

The pressure field obeys Gaussian statistics with a stationary correlation structure that can be accurately captured by fitting a mixture-of-Gaussians kernel to the same turbulence data used for validation.

C3one line summary

Gaussian process regression reconstructs pressure from error-embedded gradients by treating the field as a random process with a fitted correlation kernel, generalizing Green's function integration as its zero-noise limit and outperforming it under noise with calibrated uncertainty.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-26T02:04:12.915963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e127e8e81ea3af240168f2614c8f2f8816484ccaad589f02bfc30d2c57069e5

Aliases

arxiv: 2605.11293 · arxiv_version: 2605.11293v2 · doi: 10.48550/arxiv.2605.11293 · pith_short_12: DYJH5DUB5I5P · pith_short_16: DYJH5DUB5I5PEQAW · pith_short_8: DYJH5DUB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DYJH5DUB5I5PEQAWR4TBJSHS7C \
  | 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: 1e127e8e81ea3af240168f2614c8f2f8816484ccaad589f02bfc30d2c57069e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36bded5fa66a27738ec3fb961c6be36cf88e3eb337f385476b45e8f17219c261",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-05-11T22:25:01Z",
    "title_canon_sha256": "2805aad107a6f26f8b123332e24653a81884f6fc2c7e7a67f6d40e782fdbd381"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.11293",
    "kind": "arxiv",
    "version": 2
  }
}