Pith Number

pith:SRM4L7VV

pith:2026:SRM4L7VVG4QKIVZUEBQRRWAJFO

not attested not anchored not stored refs pending

Taming the Loss Landscape of PINNs with Noisy Feynman-Kac Supervision: Operator Preconditioning and Non-Asymptotic Error Bounds

Chengyu Liu, Hanyu Hu, Nathanael Tepakbong, Xiang Zhou

arxiv:2606.00643 v1 · 2026-05-30 · stat.ML · cs.LG · cs.NA · math.NA · math.OC · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SRM4L7VVG4QKIVZUEBQRRWAJFO}

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	2026-06-02T01:04:00.726603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9459c5feb53720a45734206118d8092ba8bf383142f3499bd10bedd4dfca0a76

Aliases

arxiv: 2606.00643 · arxiv_version: 2606.00643v1 · doi: 10.48550/arxiv.2606.00643 · pith_short_12: SRM4L7VVG4QK · pith_short_16: SRM4L7VVG4QKIVZU · pith_short_8: SRM4L7VV

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/SRM4L7VVG4QKIVZUEBQRRWAJFO \
  | 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: 9459c5feb53720a45734206118d8092ba8bf383142f3499bd10bedd4dfca0a76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fefa871d746083d009b7c0245c9d25e58066ba36830a43f16c21d83e5f6a806",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA",
      "math.OC",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-05-30T09:38:48Z",
    "title_canon_sha256": "650181d4d1c3725c46c02661ca6ab8f9f1fed5973d7370621ac12c11e7ec53f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00643",
    "kind": "arxiv",
    "version": 1
  }
}