Pith Number

pith:T7LUPXWT

pith:2024:T7LUPXWTBT7OJRU2VHYIKNK5XM

not attested not anchored not stored refs pending

Stability in Training PINNs for Stiff PDEs: Why Initial Conditions Matter

Baoli Hao, Chun Liu, Lifan Wang, Ming Zhong, Ulisses Braga-Neto

arxiv:2404.16189 v4 · 2024-04-24 · math.NA · 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{T7LUPXWTBT7OJRU2VHYIKNK5XM}

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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

2 papers in Pith

Adaptive Hard-Soft Physics-Informed Neural Networks for Robust Boundary-Constrained PDE Solving

Reliable Error Estimation for PINNs: Lower and Upper A Posteriori Bounds

Receipt and verification

First computed	2026-08-18T01:13:44.609112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fd747ded30cfee4c69aa9f085355dbb2ea5069895a648045f3d9cc6057b07aa

Aliases

arxiv: 2404.16189 · arxiv_version: 2404.16189v4 · doi: 10.48550/arxiv.2404.16189 · pith_short_12: T7LUPXWTBT7O · pith_short_16: T7LUPXWTBT7OJRU2 · pith_short_8: T7LUPXWT

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/T7LUPXWTBT7OJRU2VHYIKNK5XM \
  | 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: 9fd747ded30cfee4c69aa9f085355dbb2ea5069895a648045f3d9cc6057b07aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "074f9c8e5c6b95ff935fa1af059000f154999eae4a56270547c5547d5d068439",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-04-24T20:26:34Z",
    "title_canon_sha256": "0d5e0cf8a57a425e076d3ed344c3345a46630d27fdb754257813acdc30d3745b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.16189",
    "kind": "arxiv",
    "version": 4
  }
}