Pith Number

pith:AITY4O6O

pith:2026:AITY4O6OYE2B5H7S3KKV5NSA5Y

not attested not anchored not stored refs pending

Knowledge-Constrained Shape Optimization with a Mixture-of-Experts Neural Operator for High-Confidence Design

Jianghan Gu, Jiao Xiang, Shiyi Chen, Wenfa Luo, Wenhao Fan, Yuanwei Bin, Yuntian Chen

arxiv:2607.09763 v1 · 2026-07-07 · cs.CV · cs.AI · cs.LG · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AITY4O6OYE2B5H7S3KKV5NSA5Y}

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	2026-07-14T00:18:34.442992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02278e3bcec1341e9ff2da955eb640ee116db6bfa89b967234c4374c317f2191

Aliases

arxiv: 2607.09763 · arxiv_version: 2607.09763v1 · doi: 10.48550/arxiv.2607.09763 · pith_short_12: AITY4O6OYE2B · pith_short_16: AITY4O6OYE2B5H7S · pith_short_8: AITY4O6O

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/AITY4O6OYE2B5H7S3KKV5NSA5Y \
  | 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: 02278e3bcec1341e9ff2da955eb640ee116db6bfa89b967234c4374c317f2191

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2a97e9360cacd85905eba208c74828d2b88509b690d98cf21e91bf812685ab4",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CV",
    "submitted_at": "2026-07-07T01:29:09Z",
    "title_canon_sha256": "4644e073ee1e1888769f3c14b97e989b9dcfd5a128d30b46edba0a6b6a2cceeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09763",
    "kind": "arxiv",
    "version": 1
  }
}