Pith Number

pith:4TLFGQPQ

pith:2024:4TLFGQPQODLMBXWYKD24RZECSK

not attested not anchored not stored refs pending

Improved Physics-informed neural networks loss function regularization with a variance-based term

Hugues Talbot, Irene E. Vignon-Clementel, John M. Hanna

arxiv:2412.13993 v3 · 2024-12-18 · math.OC · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TLFGQPQODLMBXWYKD24RZECSK}

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	2026-07-05T12:07:02.368909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4d65341f070d6c0ded850f5c8e48292aa5748d012f29132d149ddfd6a1995d6

Aliases

arxiv: 2412.13993 · arxiv_version: 2412.13993v3 · doi: 10.48550/arxiv.2412.13993 · pith_short_12: 4TLFGQPQODLM · pith_short_16: 4TLFGQPQODLMBXWY · pith_short_8: 4TLFGQPQ

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/4TLFGQPQODLMBXWYKD24RZECSK \
  | 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: e4d65341f070d6c0ded850f5c8e48292aa5748d012f29132d149ddfd6a1995d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8105869fb0870745ab9a1edd53fcc0768ffb4d80883c2555a26bf72b9ff29bdf",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-18T16:11:45Z",
    "title_canon_sha256": "f5510b60a4210454d8df911a4b8e08a8f0e4f3d0bd12723b16f6ecd12fbf8809"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.13993",
    "kind": "arxiv",
    "version": 3
  }
}