Pith Number

pith:R23QQEIG

pith:2026:R23QQEIGR3ZTUDUN4OHTEEEUCX

not attested not anchored not stored refs pending

Neural Operator-enabled Topology-informed Evolutionary Strategy for PDE-Constrained Optimization

Guannan Zhang, Lu Lu, Rapha\"el Pestourie, Xiangming Huang

arxiv:2607.07682 v1 · 2026-07-08 · 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{R23QQEIGR3ZTUDUN4OHTEEEUCX}

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	2026-07-09T01:20:39.013458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eb70811068ef33a0e8de38f32109415e302a9c5efb6cf31062a792b6d6eb483

Aliases

arxiv: 2607.07682 · arxiv_version: 2607.07682v1 · doi: 10.48550/arxiv.2607.07682 · pith_short_12: R23QQEIGR3ZT · pith_short_16: R23QQEIGR3ZTUDUN · pith_short_8: R23QQEIG

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/R23QQEIGR3ZTUDUN4OHTEEEUCX \
  | 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: 8eb70811068ef33a0e8de38f32109415e302a9c5efb6cf31062a792b6d6eb483

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb1a665769a8df9f9ead37bbf0651e668c718c7fbcc3a43e4d187cc67fce8b35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-08T17:41:56Z",
    "title_canon_sha256": "5dbad1bda508fb1867430a2c6830861daa0938963a5d48bef12bda52ceab1056"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07682",
    "kind": "arxiv",
    "version": 1
  }
}