Pith Number

pith:ZZR65XWY

pith:2023:ZZR65XWYO4GP5LOCTLXPXB2LEK

not attested not anchored not stored refs pending

Achieving High Accuracy with PINNs via Energy Natural Gradients

Johannes M\"uller, Marius Zeinhofer

arxiv:2302.13163 v2 · 2023-02-25 · cs.LG · cs.NA · math.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{ZZR65XWYO4GP5LOCTLXPXB2LEK}

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

Exact Boundary Enforcement Along Implicit Geometries for Physics-Informed, Deep Learning Problems in Continuum Mechanics

Natural gradient descent with momentum

Receipt and verification

First computed	2026-07-05T06:41:13.084613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce63eeded8770cfeadc29aeefb874b22b90058aac60992f5e8e1a0e004deb8d2

Aliases

arxiv: 2302.13163 · arxiv_version: 2302.13163v2 · doi: 10.48550/arxiv.2302.13163 · pith_short_12: ZZR65XWYO4GP · pith_short_16: ZZR65XWYO4GP5LOC · pith_short_8: ZZR65XWY

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/ZZR65XWYO4GP5LOCTLXPXB2LEK \
  | 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: ce63eeded8770cfeadc29aeefb874b22b90058aac60992f5e8e1a0e004deb8d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a31a406a796a899f08c0782c71d72a8650f4f225e19cd8d2203a998ccdb53c2",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-02-25T21:17:19Z",
    "title_canon_sha256": "bf3ec6d115a7f021700bcd5b03911adddb0e01ddb964e0deaad8ec9eb2d1d02c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.13163",
    "kind": "arxiv",
    "version": 2
  }
}