Pith Number

pith:44R4NWGD

pith:2020:44R4NWGDKV544TLG2IHBJB3Y6S

not attested not anchored not stored refs pending

Multipole Graph Neural Operator for Parametric Partial Differential Equations

Andrew Stuart, Anima Anandkumar, Burigede Liu, Kamyar Azizzadenesheli, Kaushik Bhattacharya, Nikola Kovachki, Zongyi Li

arxiv:2006.09535 v2 · 2020-06-16 · cs.LG · cs.NA · math.NA · 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{44R4NWGDKV544TLG2IHBJB3Y6S}

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

3 papers in Pith

Semigroup Consistency as a Diagnostic for Learned Physics Simulators

Symplectic Neural Operators for Learning Infinite Dimensional Hamiltonian Systems

FEDONet : Fourier-Embedded DeepONet for Spectrally Accurate Operator Learning

Receipt and verification

First computed	2026-07-05T01:44:14.009839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e723c6d8c3557bce4d66d20e148778f48290db2222cca50779613eff8cc7e8ee

Aliases

arxiv: 2006.09535 · arxiv_version: 2006.09535v2 · doi: 10.48550/arxiv.2006.09535 · pith_short_12: 44R4NWGDKV54 · pith_short_16: 44R4NWGDKV544TLG · pith_short_8: 44R4NWGD

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/44R4NWGDKV544TLG2IHBJB3Y6S \
  | 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: e723c6d8c3557bce4d66d20e148778f48290db2222cca50779613eff8cc7e8ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d6b2a4af97e79cd3829bc661a194bd678b56832c78c4119f837e60945629958",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-06-16T21:56:22Z",
    "title_canon_sha256": "ee3f8325ea9bad8b0f97d343d3530c21acca1177d2e614811e8ce672ce45d0f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.09535",
    "kind": "arxiv",
    "version": 2
  }
}