Pith Number

pith:OVRJJEIR

pith:2022:OVRJJEIRLX2D2CGSQUXVTS4S4Z

not attested not anchored not stored refs pending

Physics-Embedded Neural Networks: Graph Neural PDE Solvers with Mixed Boundary Conditions

Masanobu Horie, Naoto Mitsume

arxiv:2205.11912 v2 · 2022-05-24 · cs.LG · 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{OVRJJEIRLX2D2CGSQUXVTS4S4Z}

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.

Cited by

1 paper in Pith

I-FENN with DeepONets: accelerating simulations in coupled multiphysics problems

Receipt and verification

First computed	2026-07-05T05:53:48.316348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75629491115df43d08d2852f59cb92e64884782be753d4559d27817594f61416

Aliases

arxiv: 2205.11912 · arxiv_version: 2205.11912v2 · doi: 10.48550/arxiv.2205.11912 · pith_short_12: OVRJJEIRLX2D · pith_short_16: OVRJJEIRLX2D2CGS · pith_short_8: OVRJJEIR

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/OVRJJEIRLX2D2CGSQUXVTS4S4Z \
  | 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: 75629491115df43d08d2852f59cb92e64884782be753d4559d27817594f61416

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a01ba93197a11161f84b39c0d1c5b56dd7be42a95110b12fec7b73267185d37",
    "cross_cats_sorted": [
      "cs.CE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-05-24T09:17:27Z",
    "title_canon_sha256": "0c680b3d0859946eb52782a299f1e51344ec4c9cfa53893202ca169fd3815e1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.11912",
    "kind": "arxiv",
    "version": 2
  }
}