Pith Number

pith:7HAQL4ZM

pith:2023:7HAQL4ZMGKXMOLCTPCJOLR3IF6

not attested not anchored not stored refs pending

A Unified Framework for the Error Analysis of Physics-Informed Neural Networks

Kent-Andr\'e Mardal, Marius Zeinhofer, Rami Masri

arxiv:2311.00529 v2 · 2023-11-01 · 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{7HAQL4ZMGKXMOLCTPCJOLR3IF6}

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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

1 paper in Pith

Error Analysis of the Deep Mixed Residual Method for High-order Elliptic Equations

Receipt and verification

First computed	2026-07-05T07:53:48.750824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9c105f32c32aec72c537892e5c7682fb15d096b726ca2bf17758426b08c4077

Aliases

arxiv: 2311.00529 · arxiv_version: 2311.00529v2 · doi: 10.48550/arxiv.2311.00529 · pith_short_12: 7HAQL4ZMGKXM · pith_short_16: 7HAQL4ZMGKXMOLCT · pith_short_8: 7HAQL4ZM

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/7HAQL4ZMGKXMOLCTPCJOLR3IF6 \
  | 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: f9c105f32c32aec72c537892e5c7682fb15d096b726ca2bf17758426b08c4077

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b800d3471663987aab515e61d99d857f65ba92775a80ba0efb0498247967374a",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2023-11-01T14:01:52Z",
    "title_canon_sha256": "321f6475e2b35e370374a1280ea5224762ea6f03e0863cc6b1f0beea33fee31d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.00529",
    "kind": "arxiv",
    "version": 2
  }
}