Pith Number

pith:LQZWYVVR

pith:2026:LQZWYVVRRPPAJYYJJK44UCFGIL

not attested not anchored not stored refs pending

Parameterized Representations via Implicit Stochastic Modulation for High-Dimensional and High-Order Neural PDE Solvers

Huanhuan Gao, Zhangyong Liang

arxiv:2606.22150 v1 · 2026-06-20 · 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{LQZWYVVRRPPAJYYJJK44UCFGIL}

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	2026-06-23T02:13:29.683185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c336c56b18bde04e3094ab9ca08a642f9cde9fc4dd2cf7190b11e5378b105ff

Aliases

arxiv: 2606.22150 · arxiv_version: 2606.22150v1 · doi: 10.48550/arxiv.2606.22150 · pith_short_12: LQZWYVVRRPPA · pith_short_16: LQZWYVVRRPPAJYYJ · pith_short_8: LQZWYVVR

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/LQZWYVVRRPPAJYYJJK44UCFGIL \
  | 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: 5c336c56b18bde04e3094ab9ca08a642f9cde9fc4dd2cf7190b11e5378b105ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10b26b45c7869046f7ed3d259ec123034407108da55e49b7877f71c9178735ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-20T17:02:30Z",
    "title_canon_sha256": "42383dddff9766c271f1b9a2eb59fe2d5a6fe8bb1a6dd799991037387d5a4273"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22150",
    "kind": "arxiv",
    "version": 1
  }
}