Pith Number

pith:67ZOASZR

pith:2024:67ZOASZRVNSXWSM6FGWQJYLEOR

not attested not anchored not stored refs pending

Scientific machine learning for closure models in multiscale problems: a review

Benjamin Sanderse, Panos Stinis, Romit Maulik, Shady E. Ahmed

arxiv:2403.02913 v2 · 2024-03-05 · 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{67ZOASZRVNSXWSM6FGWQJYLEOR}

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

7 papers in Pith

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models

Hybrid Neural Ordinary Differential Equations for Data-Efficient Polymerization Modeling with Incomplete Kinetics

Uncertainty-aware Multi-fidelity Closure via Conditional Normalizing Flows

Sparse probes and murky physics: a case study of interpretability challenges in a foundation model for continuum dynamics

Wavelet Flow Matching for Multi-Scale Physics Emulation

Receipt and verification

First computed	2026-07-05T09:06:03.387336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7f2e04b31ab657b499e29ad04e16474658e7f69247e7b5e02208fbd6a27fa1b

Aliases

arxiv: 2403.02913 · arxiv_version: 2403.02913v2 · doi: 10.48550/arxiv.2403.02913 · pith_short_12: 67ZOASZRVNSX · pith_short_16: 67ZOASZRVNSXWSM6 · pith_short_8: 67ZOASZR

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/67ZOASZRVNSXWSM6FGWQJYLEOR \
  | 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: f7f2e04b31ab657b499e29ad04e16474658e7f69247e7b5e02208fbd6a27fa1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c07d2fd318ebacd8e67e781507884d5a105db751ff5c7290b7c77fefcf74758",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-03-05T12:28:04Z",
    "title_canon_sha256": "34be850c6bd7ba275cf0342dad94549fcc43c208a188acf83021fff4a4e072a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.02913",
    "kind": "arxiv",
    "version": 2
  }
}