Pith Number

pith:XWOSCMZ2

pith:2020:XWOSCMZ2NKUW33NSSPCAWA7FGC

not attested not anchored not stored refs pending

Boundary Control of Vlasov--Fokker--Planck Equations

Michael Herty, Shi Jin, Yuhua Zhu

arxiv:2002.04215 v1 · 2020-02-11 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWOSCMZ2NKUW33NSSPCAWA7FGC}

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	2026-07-05T00:39:43.349470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd9d21333a6aa96dedb293c40b03e530a6d0389085448c0049bd5dfc34c64755

Aliases

arxiv: 2002.04215 · arxiv_version: 2002.04215v1 · doi: 10.48550/arxiv.2002.04215 · pith_short_12: XWOSCMZ2NKUW · pith_short_16: XWOSCMZ2NKUW33NS · pith_short_8: XWOSCMZ2

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/XWOSCMZ2NKUW33NSSPCAWA7FGC \
  | 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: bd9d21333a6aa96dedb293c40b03e530a6d0389085448c0049bd5dfc34c64755

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f082fdeb7ad336d74e5809042e3808d62d188745833545d128ed9ba5f19489a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-02-11T05:49:06Z",
    "title_canon_sha256": "7a04f87fe87220ba28b1554a6e2109c34fb3d7495e9abf6fa37f90f2379ade2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.04215",
    "kind": "arxiv",
    "version": 1
  }
}