Pith Number

pith:4B2ZXMYO

pith:2023:4B2ZXMYOGQRBDPXCP2A7C2ENJ6

not attested not anchored not stored refs pending

Machine Learning for Partial Differential Equations

J. Nathan Kutz, Steven L. Brunton

arxiv:2303.17078 v1 · 2023-03-30 · cs.LG · cs.NA · math.AP · math.DS · math.NA · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4B2ZXMYOGQRBDPXCP2A7C2ENJ6}

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

4 papers in Pith

Paving the Way for Point Cloud Video Representation Learning Using A PDE Model

Stability and Discretization Error of State Space Model Neural Operators

The Machine Learning Approach to Moment Closure Relations for Plasma: A Review

Stable Long-Horizon PDE Forecasting via Latent Structured Spectral Propagators

Receipt and verification

First computed	2026-07-05T05:56:19.220131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0759bb30e342211bee27e81f1688d4f8c535862752a0abc916161b96bc01cd2

Aliases

arxiv: 2303.17078 · arxiv_version: 2303.17078v1 · doi: 10.48550/arxiv.2303.17078 · pith_short_12: 4B2ZXMYOGQRB · pith_short_16: 4B2ZXMYOGQRBDPXC · pith_short_8: 4B2ZXMYO

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/4B2ZXMYOGQRBDPXCP2A7C2ENJ6 \
  | 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: e0759bb30e342211bee27e81f1688d4f8c535862752a0abc916161b96bc01cd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6ef9d1b1ad4f6344ee7cd67798f61197da84913762c54c8555839a300700f9d",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP",
      "math.DS",
      "math.NA",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-03-30T00:57:59Z",
    "title_canon_sha256": "ce5e6b2ab56e491d20fbb3825de5eed27372d6efbada59e87b7b5b9b9ae08983"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.17078",
    "kind": "arxiv",
    "version": 1
  }
}