Pith Number

pith:2FHBHRCX

pith:2025:2FHBHRCXPP6AV3UZT3M2FR3CIA

not attested not anchored not stored refs pending

Accelerating PDE-Constrained Optimization by the Derivative of Neural Operators

Hang Su, Jianing Huang, Xiaoqiang Wang, Ze Cheng, Zhizhou Zhang, Zhongkai Hao, Zhuoyu Li

arxiv:2506.13120 v1 · 2025-06-16 · 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{2FHBHRCXPP6AV3UZT3M2FR3CIA}

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	2026-07-05T11:22:05.464343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d14e13c4577bfc0aee999ed9a2c762402faa0cd14829317d503097817dcc727a

Aliases

arxiv: 2506.13120 · arxiv_version: 2506.13120v1 · doi: 10.48550/arxiv.2506.13120 · pith_short_12: 2FHBHRCXPP6A · pith_short_16: 2FHBHRCXPP6AV3UZ · pith_short_8: 2FHBHRCX

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/2FHBHRCXPP6AV3UZT3M2FR3CIA \
  | 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: d14e13c4577bfc0aee999ed9a2c762402faa0cd14829317d503097817dcc727a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5b2fa2a2b7113bb87130075d7f574d3005168e7713ef804b9a06c02c6a5c213",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-06-16T05:58:36Z",
    "title_canon_sha256": "808d382e6af3ade870114159ccc0e3caa19baf0a0efdb695fd924f9860b0b91d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.13120",
    "kind": "arxiv",
    "version": 1
  }
}