Pith Number

pith:QF4XF2UD

pith:2021:QF4XF2UDJT46XDY4RYXF6ZWNDH

not attested not anchored not stored refs pending

Machine Learning For Elliptic PDEs: Fast Rate Generalization Bound, Neural Scaling Law and Minimax Optimality

Haoxuan Chen, Jianfeng Lu, Jose Blanchet, Lexing Ying, Yiping Lu

arxiv:2110.06897 v2 · 2021-10-13 · math.NA · cs.LG · cs.NA · math.ST · physics.comp-ph · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QF4XF2UDJT46XDY4RYXF6ZWNDH}

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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

Feature Learning for the High Dimensional Stationary Sch\"odinger Equation with Deep Ritz Method

Concentration Inequalities for Sample Cross-Covariances

Posterior Concentration of Bayesian Physics-Informed Neural Networks for Elliptic PDEs

Receipt and verification

First computed	2026-07-05T03:31:31.368339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

817972ea834cf9eb8f1c8e2e5f66cd19efbc050e367352accadb868a5ad731ca

Aliases

arxiv: 2110.06897 · arxiv_version: 2110.06897v2 · doi: 10.48550/arxiv.2110.06897 · pith_short_12: QF4XF2UDJT46 · pith_short_16: QF4XF2UDJT46XDY4 · pith_short_8: QF4XF2UD

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/QF4XF2UDJT46XDY4RYXF6ZWNDH \
  | 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: 817972ea834cf9eb8f1c8e2e5f66cd19efbc050e367352accadb868a5ad731ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2741f41fd8dc047f31f24b53172ba5af816f709d25778351fa0758e8c684cf2",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.ST",
      "physics.comp-ph",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-10-13T17:26:31Z",
    "title_canon_sha256": "84f8690cc062f40414c643575a847bdbd65fc467491bdafdd7342cbf7fba7996"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.06897",
    "kind": "arxiv",
    "version": 2
  }
}