Pith Number

pith:4WAIP2SU

pith:2026:4WAIP2SU2MU2D3K4TECMNAD4LJ

not attested not anchored not stored refs pending

Fourier Neural Operators for Rayleigh-B\'enard Convection

Andreas Herten, Chelsea Maria John, Daniel Ruprecht, Sebastian G\"otschel, Stefan Kesselheim, Thibaut Lunet

arxiv:2607.02088 v1 · 2026-07-02 · cs.LG · physics.flu-dyn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WAIP2SU2MU2D3K4TECMNAD4LJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-07-03T01:17:41.894193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e58087ea54d329a1ed5c9904c6807c5a6e1b5afd99f3093c6d09a2517a81f558

Aliases

arxiv: 2607.02088 · arxiv_version: 2607.02088v1 · doi: 10.48550/arxiv.2607.02088 · pith_short_12: 4WAIP2SU2MU2 · pith_short_16: 4WAIP2SU2MU2D3K4 · pith_short_8: 4WAIP2SU

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/4WAIP2SU2MU2D3K4TECMNAD4LJ \
  | 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: e58087ea54d329a1ed5c9904c6807c5a6e1b5afd99f3093c6d09a2517a81f558

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6c3bf5c1123d1b9910987fc44c2f9e92c73ca2a05fc314e76e62ca6e7252867",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-02T12:28:45Z",
    "title_canon_sha256": "899e5c1350e763d69101542a7d211c38e281960349fad59790a9af5ffc424f4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02088",
    "kind": "arxiv",
    "version": 1
  }
}