Pith Number

pith:XMENNAJ4

pith:2017:XMENNAJ4D4V5VOBCICRO7BNANY

not attested not anchored not stored refs pending

Solving parametric PDE problems with artificial neural networks

Jianfeng Lu, Lexing Ying, YueHaw Khoo

arxiv:1707.03351 v3 · 2017-07-11 · 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{XMENNAJ4D4V5VOBCICRO7BNANY}

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

2 papers in Pith

Theory of the Frequency Principle for General Deep Neural Networks

Fourier Neural Operator for Parametric Partial Differential Equations

Receipt and verification

First computed	2026-06-04T18:11:09.636385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb08d6813c1f2bdab82240a2ef85a06e3772b7bb4c2459a4b084909d1ae320eb

Aliases

arxiv: 1707.03351 · arxiv_version: 1707.03351v3 · doi: 10.48550/arxiv.1707.03351 · pith_short_12: XMENNAJ4D4V5 · pith_short_16: XMENNAJ4D4V5VOBC · pith_short_8: XMENNAJ4

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/XMENNAJ4D4V5VOBCICRO7BNANY \
  | 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: bb08d6813c1f2bdab82240a2ef85a06e3772b7bb4c2459a4b084909d1ae320eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cb845e959ab3cfa2ffa7d46b30516a4660185b2043b2faa9bb6a6aa1ebae4cf",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-07-11T16:28:22Z",
    "title_canon_sha256": "c295b244c8024e840dadb49a4381f8ebd9d021c93a229cee2cd21545f5773ab6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03351",
    "kind": "arxiv",
    "version": 3
  }
}