Pith Number

pith:SPATTQBT

pith:2025:SPATTQBT7TZIO2IVRBMEVXNAI6

not attested not anchored not stored refs pending

DGenNO: A Novel Physics-aware Neural Operator for Solving Forward and Inverse PDE Problems based on Deep, Generative Probabilistic Modeling

Phaedon-Stelios Koutsourelakis, Yaohua Zang

arxiv:2502.06250 v3 · 2025-02-10 · cs.LG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPATTQBT7TZIO2IVRBMEVXNAI6}

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	2026-07-05T11:30:22.025309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93c139c033fcf287691588584adda04799a6e55c00cc0636d49b26157f8f8758

Aliases

arxiv: 2502.06250 · arxiv_version: 2502.06250v3 · doi: 10.48550/arxiv.2502.06250 · pith_short_12: SPATTQBT7TZI · pith_short_16: SPATTQBT7TZIO2IV · pith_short_8: SPATTQBT

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/SPATTQBT7TZIO2IVRBMEVXNAI6 \
  | 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: 93c139c033fcf287691588584adda04799a6e55c00cc0636d49b26157f8f8758

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3ff728d16f979e377faee98d80ab3727a51da417b36643c34c37d4d1e181676",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-02-10T08:28:46Z",
    "title_canon_sha256": "cd4b8af4fc93f41d73d5f0e2286fe60a9e9c64c24a2de6077d5ee8e1990f21e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.06250",
    "kind": "arxiv",
    "version": 3
  }
}