Pith Number

pith:5ZYZ5ROO

pith:2025:5ZYZ5ROOM2D46HPJFDAPCXCPW7

not attested not anchored not stored refs pending

Existence and stability of non-equilibrium steady states of a weakly non-linear kinetic Fokker-Planck equation in a domain

J Evans (WMI), R Medina (CEREMADE)

arxiv:2506.03632 v2 · 2025-06-04 · 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{5ZYZ5ROOM2D46HPJFDAPCXCPW7}

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	2026-07-05T11:19:07.807700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee719ec5ce6687cf1de928c0f15c4fb7c5b147469332ebc990533fe28fd06046

Aliases

arxiv: 2506.03632 · arxiv_version: 2506.03632v2 · doi: 10.48550/arxiv.2506.03632 · pith_short_12: 5ZYZ5ROOM2D4 · pith_short_16: 5ZYZ5ROOM2D46HPJ · pith_short_8: 5ZYZ5ROO

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/5ZYZ5ROOM2D46HPJFDAPCXCPW7 \
  | 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: ee719ec5ce6687cf1de928c0f15c4fb7c5b147469332ebc990533fe28fd06046

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac806d7c3a100901ae38109af796603ca662f8ce4ab6929f7739ae3d31a2a17e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-04T07:22:11Z",
    "title_canon_sha256": "8cd97ff79bc87b9f205370431476b2c2ac64ab36be25bcd42b26a2ae8af73325"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.03632",
    "kind": "arxiv",
    "version": 2
  }
}