Pith Number

pith:WDFXHJCV

pith:2025:WDFXHJCVFJFPPTTKCIRP67OEBO

not attested not anchored not stored refs pending

A scaling limit for Vlasov equations with electrostatic fluctuations

Dejun Luo, Franco Flandoli

arxiv:2507.09922 v1 · 2025-07-14 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WDFXHJCVFJFPPTTKCIRP67OEBO}

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	2026-07-05T11:36:42.261302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0cb73a4552a4af7ce6a1222ff7dc40bb7dccfd6025156aff14978d3806a1bcf

Aliases

arxiv: 2507.09922 · arxiv_version: 2507.09922v1 · doi: 10.48550/arxiv.2507.09922 · pith_short_12: WDFXHJCVFJFP · pith_short_16: WDFXHJCVFJFPPTTK · pith_short_8: WDFXHJCV

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/WDFXHJCVFJFPPTTKCIRP67OEBO \
  | 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: b0cb73a4552a4af7ce6a1222ff7dc40bb7dccfd6025156aff14978d3806a1bcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1baa8bba4bae0d20c735f415b732f57880fb24583463b3807b137bda8b6f3c16",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-14T05:01:58Z",
    "title_canon_sha256": "b07c6951c9baedfab0cb82a86ce8664de973b650bf0b3834926c2a675f225964"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09922",
    "kind": "arxiv",
    "version": 1
  }
}