Pith Number

pith:LNT3JLGJ

pith:2026:LNT3JLGJJML2Z6XYLOEOULLG2V

not attested not anchored not stored refs pending

Latent Residual-Closure Fourier Neural Operator for Robust Multi-Field Solving in Particle-in-Cell Simulations

Jianhua Lyu, Linlin Zhong

arxiv:2606.17733 v1 · 2026-06-16 · physics.comp-ph · physics.plasm-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{LNT3JLGJJML2Z6XYLOEOULLG2V}

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	2026-06-19T16:10:20.588528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b67b4acc94b17acfaf85b88ea2d66d5422ba435c286674bab656c5e7c901a25

Aliases

arxiv: 2606.17733 · arxiv_version: 2606.17733v1 · doi: 10.48550/arxiv.2606.17733 · pith_short_12: LNT3JLGJJML2 · pith_short_16: LNT3JLGJJML2Z6XY · pith_short_8: LNT3JLGJ

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/LNT3JLGJJML2Z6XYLOEOULLG2V \
  | 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: 5b67b4acc94b17acfaf85b88ea2d66d5422ba435c286674bab656c5e7c901a25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "861e2c67fc5349d00d7c942d3aa413ebe168c9707c8d11e8268b8e7adb3796cc",
    "cross_cats_sorted": [
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2026-06-16T09:50:30Z",
    "title_canon_sha256": "b9925bd667f71963e47b3630709cd1b67708e13c2400f8313dfa0343e8246305"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17733",
    "kind": "arxiv",
    "version": 1
  }
}