Pith Number

pith:WOATTLPH

pith:2025:WOATTLPHDSGNLUGXCBP2FVPS33

not attested not anchored not stored refs pending

Fredholm Neural Networks for inverse problems in elliptic PDEs

Athanasios N. Yannacopoulos, Constantinos Siettos, Kyriakos C. Georgiou

arxiv:2507.06038 v4 · 2025-07-08 · math.NA · cs.LG · 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{WOATTLPHDSGNLUGXCBP2FVPS33}

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

Learning Contractive Integral Operators with Fredholm Integral Neural Operators

Receipt and verification

First computed	2026-05-26T02:03:52.549228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b38139ade71c8cd5d0d7105fa2d5f2dedcefdfc7ce2b753002c15dcd6831ddae

Aliases

arxiv: 2507.06038 · arxiv_version: 2507.06038v4 · doi: 10.48550/arxiv.2507.06038 · pith_short_12: WOATTLPHDSGN · pith_short_16: WOATTLPHDSGNLUGX · pith_short_8: WOATTLPH

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/WOATTLPHDSGNLUGXCBP2FVPS33 \
  | 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: b38139ade71c8cd5d0d7105fa2d5f2dedcefdfc7ce2b753002c15dcd6831ddae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a2b7efe470a415b2550d56a2e5e1cd564de221afa46595339df22356552fe3b",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-07-08T14:40:44Z",
    "title_canon_sha256": "73a6ea3b4123cbf9e16c3f4b7c1c3bf0fde87f2575b6e3c7178d9525e7fd5d0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.06038",
    "kind": "arxiv",
    "version": 4
  }
}