Pith Number

pith:DDKRV7PU

pith:2024:DDKRV7PUFIZ52DWWH3L4434XTV

not attested not anchored not stored refs pending

Tensor neural networks for high-dimensional Fokker-Planck equations

George Em Karniadakis, Kenji Kawaguchi, Taorui Wang, Zheyuan Hu, Zhongqiang Zhang

arxiv:2404.05615 v2 · 2024-04-08 · 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{DDKRV7PUFIZ52DWWH3L4434XTV}

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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

BridgeNet: A Hybrid, Physics-Informed Machine Learning Framework for Solving High-Dimensional Fokker-Planck Equations

Receipt and verification

First computed	2026-07-05T09:29:27.810198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18d51afdf42a33dd0ed63ed7ce6f979d74aeb4661a2e7975317ec6b096904a21

Aliases

arxiv: 2404.05615 · arxiv_version: 2404.05615v2 · doi: 10.48550/arxiv.2404.05615 · pith_short_12: DDKRV7PUFIZ5 · pith_short_16: DDKRV7PUFIZ52DWW · pith_short_8: DDKRV7PU

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/DDKRV7PUFIZ52DWWH3L4434XTV \
  | 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: 18d51afdf42a33dd0ed63ed7ce6f979d74aeb4661a2e7975317ec6b096904a21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff08288e3a6933198fe2885c6f93b3acd564d9430257848536971d9d50e3cc35",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-04-08T15:43:29Z",
    "title_canon_sha256": "c38551dc23287c873eaaa90b3ae5a6a960cbe8791050815c0b541ec63680a0be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.05615",
    "kind": "arxiv",
    "version": 2
  }
}