Pith Number

pith:4OERQWC5

pith:2021:4OERQWC5FI6M7YSU673MWYNXB5

not attested not anchored not stored refs pending

Error analysis for physics informed neural networks (PINNs) approximating Kolmogorov PDEs

Siddhartha Mishra, Tim De Ryck

arxiv:2106.14473 v2 · 2021-06-28 · math.NA · cs.LG · 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{4OERQWC5FI6M7YSU673MWYNXB5}

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	2026-07-05T02:56:40.472758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e38918585d2a3ccfe254f7f6cb61b70f70d9a37d9972d14f3a8d27c9418df9e4

Aliases

arxiv: 2106.14473 · arxiv_version: 2106.14473v2 · doi: 10.48550/arxiv.2106.14473 · pith_short_12: 4OERQWC5FI6M · pith_short_16: 4OERQWC5FI6M7YSU · pith_short_8: 4OERQWC5

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/4OERQWC5FI6M7YSU673MWYNXB5 \
  | 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: e38918585d2a3ccfe254f7f6cb61b70f70d9a37d9972d14f3a8d27c9418df9e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b29351d556af15c7d10c8a7875eb35ee98983e4221c6590932770540870b9799",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-06-28T08:37:56Z",
    "title_canon_sha256": "5dbf8e87a40d3c00224ca01569667bed999aab9ce64f075e25f07d853d6c165e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.14473",
    "kind": "arxiv",
    "version": 2
  }
}