Pith. sign in
Pith Number

pith:ZOYJOWL6

pith:2026:ZOYJOWL6FBF3XJHC4BEN7YLYUR
not attested not anchored not stored refs pending

Local Well-Posedness for Vlasov--Poisson with $L^{d+}$ Initial Density and Fractional Velocity Regularity

Quoc-Hung Nguyen

arxiv:2607.24400 v1 · 2026-07-27 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZOYJOWL6FBF3XJHC4BEN7YLYUR}

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 2026-07-28T02:24:01.364636Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cbb097597e284bbba4e2e048dfe178a451c59acd8ba510142cf6ca50fe8eadd3

Aliases

arxiv: 2607.24400 · arxiv_version: 2607.24400v1 · doi: 10.48550/arxiv.2607.24400 · pith_short_12: ZOYJOWL6FBF3 · pith_short_16: ZOYJOWL6FBF3XJHC · pith_short_8: ZOYJOWL6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZOYJOWL6FBF3XJHC4BEN7YLYUR \
  | 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: cbb097597e284bbba4e2e048dfe178a451c59acd8ba510142cf6ca50fe8eadd3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5c69352794f764338a628b79eadcdc75d2c30c96309d8ef851a680235da70c47",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-27T13:18:24Z",
    "title_canon_sha256": "8b7b206006d0f02ec9b95a0151caa2bf0414a5dcc6653b9cf293548e5d59730a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24400",
    "kind": "arxiv",
    "version": 1
  }
}