Pith Number

pith:ZS4NP5UW

pith:2022:ZS4NP5UWRVMH7FGBIEHCYMN55W

not attested not anchored not stored refs pending

Neural Networks to solve Partial Differential Equations: a Comparison with Finite Elements

Andrea Sacchetti, Beatrice Paoli, Benjamin Bachmann, Kaspar L\"offel, Urs-Martin K\"unzi

arxiv:2201.03269 v3 · 2022-01-10 · cs.CE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZS4NP5UWRVMH7FGBIEHCYMN55W}

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	2026-07-05T04:12:38.124292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccb8d7f6968d587f94c1410e2c31bdedb9e2f1766ba3dcce0da8c7ee6974c89e

Aliases

arxiv: 2201.03269 · arxiv_version: 2201.03269v3 · doi: 10.48550/arxiv.2201.03269 · pith_short_12: ZS4NP5UWRVMH · pith_short_16: ZS4NP5UWRVMH7FGB · pith_short_8: ZS4NP5UW

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/ZS4NP5UWRVMH7FGBIEHCYMN55W \
  | 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: ccb8d7f6968d587f94c1410e2c31bdedb9e2f1766ba3dcce0da8c7ee6974c89e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bec4ebca9dc9269d16824b5622df996f7041a11f84ef1a444aa1c7fb2131da1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2022-01-10T10:34:57Z",
    "title_canon_sha256": "5e70957acca9c58fb985f7182ef6a1621e152073635d4723eb2622682a0c2733"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.03269",
    "kind": "arxiv",
    "version": 3
  }
}