Pith Number

pith:L5GLRHTI

pith:2024:L5GLRHTIZBQ2KEWAQVSEONQCBW

not attested not anchored not stored refs pending

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ?

Zhenya Yan, Zijian Zhou

arxiv:2412.06158 v1 · 2024-12-09 · stat.ML · cs.LG · math-ph · math.MP · nlin.PS · 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{L5GLRHTIZBQ2KEWAQVSEONQCBW}

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	2026-07-05T09:46:16.326748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f4cb89e68c861a512c085644736020d982e0bb7c30c39e07dfa32316d75577f

Aliases

arxiv: 2412.06158 · arxiv_version: 2412.06158v1 · doi: 10.48550/arxiv.2412.06158 · pith_short_12: L5GLRHTIZBQ2 · pith_short_16: L5GLRHTIZBQ2KEWA · pith_short_8: L5GLRHTI

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/L5GLRHTIZBQ2KEWAQVSEONQCBW \
  | 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: 5f4cb89e68c861a512c085644736020d982e0bb7c30c39e07dfa32316d75577f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "756691aad3a57f1c2283ced74c3d017a74d7b03bda0f4fb9f63437d30e3ff09f",
    "cross_cats_sorted": [
      "cs.LG",
      "math-ph",
      "math.MP",
      "nlin.PS",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2024-12-09T02:41:39Z",
    "title_canon_sha256": "e8fb35664d716e82c566e75c69e2aff2786f772c1b2bd589b471f3e591ed4a5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.06158",
    "kind": "arxiv",
    "version": 1
  }
}