Pith Number

pith:ZHU6JGRF

pith:2017:ZHU6JGRFIQLEUSWQN2X5VNLIDW

not attested not anchored not stored refs pending

PDE-Net: Learning PDEs from Data

Bin Dong, Xianzhong Ma, Yiping Lu, Zichao Long

arxiv:1710.09668 v2 · 2017-10-26 · math.NA · cs.LG · cs.NE · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHU6JGRFIQLEUSWQN2X5VNLIDW}

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

Stability selection enables robust learning of partial differential equations from limited noisy data

Bayesian Reasoning for Physics Informed Neural Networks

Universal Differential Equations for Scientific Machine Learning

Scale-Aware Adversarial Analysis: A Diagnostic for Generative AI in Multiscale Complex Systems

Receipt and verification

First computed	2026-05-18T00:27:00.060695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9e9e49a2544164a4ad06eafdab5681d827b84f77f15f675adb471c42d6943a6

Aliases

arxiv: 1710.09668 · arxiv_version: 1710.09668v2 · doi: 10.48550/arxiv.1710.09668 · pith_short_12: ZHU6JGRFIQLE · pith_short_16: ZHU6JGRFIQLEUSWQ · pith_short_8: ZHU6JGRF

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/ZHU6JGRFIQLEUSWQN2X5VNLIDW \
  | 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: c9e9e49a2544164a4ad06eafdab5681d827b84f77f15f675adb471c42d6943a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26bf867e082844a7ecd498d36f392a1a2279f0c1e54fc66211078f3ef0442c96",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NE",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-10-26T12:50:45Z",
    "title_canon_sha256": "b436e5485b5d2f6634147167ac86b97e1e42237ed9d7092c2b6e65c2de35fc40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09668",
    "kind": "arxiv",
    "version": 2
  }
}