Pith Number

pith:ZRHOJGQY

pith:2025:ZRHOJGQYDL7E2MYFRONZBZ2T5I

not attested not anchored not stored refs pending

Physics-Informed Neural Networks for Irregular Domain Mapping and Partial Differential Equations solving

Cuizhi Zhou, Kaien Zhu

arxiv:2506.08622 v2 · 2025-06-10 · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZRHOJGQYDL7E2MYFRONZBZ2T5I}

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	2026-07-05T11:19:29.892272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc4ee49a181afe4d33058b9b90e753ea15a54a017160fee32b3d4e843299e86d

Aliases

arxiv: 2506.08622 · arxiv_version: 2506.08622v2 · doi: 10.48550/arxiv.2506.08622 · pith_short_12: ZRHOJGQYDL7E · pith_short_16: ZRHOJGQYDL7E2MYF · pith_short_8: ZRHOJGQY

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/ZRHOJGQYDL7E2MYFRONZBZ2T5I \
  | 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: cc4ee49a181afe4d33058b9b90e753ea15a54a017160fee32b3d4e843299e86d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02cb02d9cb0b4e75296c8d787bf1027129a257944be2143f0d928505534a32a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2025-06-10T09:32:13Z",
    "title_canon_sha256": "d27d62d1dbf41ba037a7b2cdaad6f03edfd6e14c042950ce8c0521f7e891e365"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08622",
    "kind": "arxiv",
    "version": 2
  }
}