Pith Number

pith:ZR4XZXPQ

pith:2023:ZR4XZXPQKD7SQ4YUDX53GSDSH2

not attested not anchored not stored refs pending

Multilevel domain decomposition-based architectures for physics-informed neural networks

Alexander Heinlein, Ben Moseley, Siddhartha Mishra, Victorita Dolean

arxiv:2306.05486 v3 · 2023-06-08 · 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{ZR4XZXPQKD7SQ4YUDX53GSDSH2}

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	2026-07-05T08:34:03.590785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc797cddf050ff2873141dfbb348723eae30db258f5c8e76ffcee1969f021579

Aliases

arxiv: 2306.05486 · arxiv_version: 2306.05486v3 · doi: 10.48550/arxiv.2306.05486 · pith_short_12: ZR4XZXPQKD7S · pith_short_16: ZR4XZXPQKD7SQ4YU · pith_short_8: ZR4XZXPQ

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/ZR4XZXPQKD7SQ4YUDX53GSDSH2 \
  | 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: cc797cddf050ff2873141dfbb348723eae30db258f5c8e76ffcee1969f021579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4743f4326ebb73c49a5c25cef124291c996edc55e5b09aedf4683bfd56d53dd",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2023-06-08T18:16:56Z",
    "title_canon_sha256": "15bf4b656b3971ea3fea8ffa168a2d109e43acc2e62f49a63f3e5157e37be931"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.05486",
    "kind": "arxiv",
    "version": 3
  }
}