Pith Number

pith:EL3AD2C5

pith:2023:EL3AD2C5TFM6E5QN2NN7BQSOPW

not attested not anchored not stored refs pending

Hutchinson Trace Estimation for High-Dimensional and High-Order Physics-Informed Neural Networks

George Em Karniadakis, Kenji Kawaguchi, Zekun Shi, Zheyuan Hu

arxiv:2312.14499 v2 · 2023-12-22 · cs.LG · cs.AI · cs.NA · math.DS · 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{EL3AD2C5TFM6E5QN2NN7BQSOPW}

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.

Receipt and verification

First computed	2026-07-05T07:51:37.275431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22f601e85d9959e2760dd35bf0c24e7d9218a6f7b075501fc9ef742d635025dd

Aliases

arxiv: 2312.14499 · arxiv_version: 2312.14499v2 · doi: 10.48550/arxiv.2312.14499 · pith_short_12: EL3AD2C5TFM6 · pith_short_16: EL3AD2C5TFM6E5QN · pith_short_8: EL3AD2C5

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/EL3AD2C5TFM6E5QN2NN7BQSOPW \
  | 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: 22f601e85d9959e2760dd35bf0c24e7d9218a6f7b075501fc9ef742d635025dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "304908c8608fe02d3028581a0550ad1dcb766f139000af37b3f1e994d035f7a1",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.NA",
      "math.DS",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-12-22T07:56:30Z",
    "title_canon_sha256": "8ac48194a0b1efe4051ceb730646d88c7657255b9364e0bd303c07bc5f007d8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.14499",
    "kind": "arxiv",
    "version": 2
  }
}