Pith Number

pith:6LXLEDAA

pith:2025:6LXLEDAAFTCVE4MU2MLFP3EWF5

not attested not anchored not stored refs pending

Simulating Fokker-Planck equations via mean field control of score-based normalizing flows

Mo Zhou, Stanley Osher, Wuchen Li

arxiv:2506.05723 v2 · 2025-06-06 · 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{6LXLEDAAFTCVE4MU2MLFP3EWF5}

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	2026-07-05T11:48:26.533844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2eeb20c002cc5527194d31657ec962f7547a2637c639e78b5b94b1059cc480f

Aliases

arxiv: 2506.05723 · arxiv_version: 2506.05723v2 · doi: 10.48550/arxiv.2506.05723 · pith_short_12: 6LXLEDAAFTCV · pith_short_16: 6LXLEDAAFTCVE4MU · pith_short_8: 6LXLEDAA

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/6LXLEDAAFTCVE4MU2MLFP3EWF5 \
  | 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: f2eeb20c002cc5527194d31657ec962f7547a2637c639e78b5b94b1059cc480f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdbe48a84d6b2bfedc0c053a3389596c4bbd9f1800fb3ce70f977c96b38176dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-06T04:03:24Z",
    "title_canon_sha256": "e108c539875d1a1cd84efb594af714e2c4898b165f10319ad815bac9eed59d71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05723",
    "kind": "arxiv",
    "version": 2
  }
}