Pith Number

pith:Y5ZLCBC4

pith:2026:Y5ZLCBC4NNLDSGWGEHGKEPUDTI

not attested not anchored not stored refs pending

Integrating GNSS-Derived Zenith Wet Delay into a Weather Foundation Model Improves Precipitation Forecasting

Benedikt Soja, Fanny Lehmann, Laura Crocetti, Leonardo Trentini

arxiv:2607.05658 v1 · 2026-07-06 · physics.ao-ph · cs.LG · physics.geo-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5ZLCBC4NNLDSGWGEHGKEPUDTI}

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	2026-07-08T01:18:40.767334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c772b1045c6b56391ac621cca23e839a0ff3213deb5ca92da6e64c4ff0c23d19

Aliases

arxiv: 2607.05658 · arxiv_version: 2607.05658v1 · doi: 10.48550/arxiv.2607.05658 · pith_short_12: Y5ZLCBC4NNLD · pith_short_16: Y5ZLCBC4NNLDSGWG · pith_short_8: Y5ZLCBC4

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/Y5ZLCBC4NNLDSGWGEHGKEPUDTI \
  | 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: c772b1045c6b56391ac621cca23e839a0ff3213deb5ca92da6e64c4ff0c23d19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c43c5db22afd53c265ade739204fb2a206b140a0999aa0edb85b8ca2ae1fb6dd",
    "cross_cats_sorted": [
      "cs.LG",
      "physics.geo-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.ao-ph",
    "submitted_at": "2026-07-06T21:58:15Z",
    "title_canon_sha256": "7b795098f4992482a3b5b1a228cf47f76f92f40ccc9b4c49ba728746f528ccf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05658",
    "kind": "arxiv",
    "version": 1
  }
}