Pith Number

pith:VDWSTLRE

pith:2026:VDWSTLRE4B5UXNQYTSWHCQESJX

not attested not anchored not stored refs pending

Non-linear control variate in {\delta}f particle-in-cell methods using symplectic neural networks

Emmanuel Franck, Martin Campos Pinto, Victor Fournet, Victor Michel-Dansac

arxiv:2606.30622 v1 · 2026-06-29 · physics.comp-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{VDWSTLRE4B5UXNQYTSWHCQESJX}

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	2026-06-30T02:18:23.170404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8ed29ae24e07b4bb6189cac7140924dffe96c5e828d12afd6223bbff351d56c

Aliases

arxiv: 2606.30622 · arxiv_version: 2606.30622v1 · doi: 10.48550/arxiv.2606.30622 · pith_short_12: VDWSTLRE4B5U · pith_short_16: VDWSTLRE4B5UXNQY · pith_short_8: VDWSTLRE

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/VDWSTLRE4B5UXNQYTSWHCQESJX \
  | 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: a8ed29ae24e07b4bb6189cac7140924dffe96c5e828d12afd6223bbff351d56c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2de965688a7949a31de57ad1f32763fd5e167e374cded5b6692bb1c78e6f782b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2026-06-29T17:53:18Z",
    "title_canon_sha256": "8d22dbc3ec6924541ff34f97b896c77b91b907c482f27687fe4bf9b60bbe267d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30622",
    "kind": "arxiv",
    "version": 1
  }
}