Pith Number

pith:3QB2EAL6

pith:2025:3QB2EAL66YM5XEXJB5H3KA53HC

not attested not anchored not stored refs pending

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations

Kourosh Parand, Mahdi Movahedian Moghaddam, Saeed Reza Kheradpisheh

arxiv:2501.16370 v3 · 2025-01-22 · cs.LG · cs.AI · cs.NA · cs.NE · math.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{3QB2EAL66YM5XEXJB5H3KA53HC}

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	2026-06-19T16:09:47.768266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc03a2017ef619db92e90f4fb503bb38be6e9aaeedd60e6ac4741408a3eefb7d

Aliases

arxiv: 2501.16370 · arxiv_version: 2501.16370v3 · doi: 10.48550/arxiv.2501.16370 · pith_short_12: 3QB2EAL66YM5 · pith_short_16: 3QB2EAL66YM5XEXJ · pith_short_8: 3QB2EAL6

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/3QB2EAL66YM5XEXJB5H3KA53HC \
  | 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: dc03a2017ef619db92e90f4fb503bb38be6e9aaeedd60e6ac4741408a3eefb7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db517b538dd9d7709acb285bf786242073141d34911a7a061de049138df38830",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.NA",
      "cs.NE",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-01-22T19:47:03Z",
    "title_canon_sha256": "88af33d5ab910ef6c3b964bbbd157a0614306b26f1f5ddb6b7751c587ce769de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.16370",
    "kind": "arxiv",
    "version": 3
  }
}