Pith Number

pith:DKHM3L4A

pith:2025:DKHM3L4A7XYWQIUGIFWWHURLIE

not attested not anchored not stored refs pending

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions

Max Kreider, Peter J. Thomas, Yao Li

arxiv:2508.20339 v1 · 2025-08-28 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DKHM3L4A7XYWQIUGIFWWHURLIE}

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.

Cited by

1 paper in Pith

Reinforcement-Learning-Guided Data-Driven Estimation of Spectral Properties of Stochastic Koopman Semigroups

Receipt and verification

First computed	2026-07-05T12:00:34.823107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a8ecdaf80fdf1682286416d63d22b4117366757ec03f98bc15afb994c1ff1fd

Aliases

arxiv: 2508.20339 · arxiv_version: 2508.20339v1 · doi: 10.48550/arxiv.2508.20339 · pith_short_12: DKHM3L4A7XYW · pith_short_16: DKHM3L4A7XYWQIUG · pith_short_8: DKHM3L4A

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/DKHM3L4A7XYWQIUGIFWWHURLIE \
  | 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: 1a8ecdaf80fdf1682286416d63d22b4117366757ec03f98bc15afb994c1ff1fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "febafa55b04f26f9feeea70d8bf82b84d1ce518e6eb56770b83b8372e9f55d76",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-08-28T01:21:17Z",
    "title_canon_sha256": "e77928047d15d64e19d1ff5d1ffd48e2c37de35d6e7b19a9406f474b244f527c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20339",
    "kind": "arxiv",
    "version": 1
  }
}