Pith Number

pith:63KHTLFF

pith:2026:63KHTLFF2M5QFZNB4IKFKXJ4IQ

not attested not anchored not stored refs pending

MoNo: Multiscale Optimal Transport Neural Operator for Solving PDEs on General Geometries

Dongmei Fu, Xiaomeng Wu, Zijiang Yang

arxiv:2608.09764 v1 · 2026-08-10 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63KHTLFF2M5QFZNB4IKFKXJ4IQ}

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	2026-08-11T02:24:57.902666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6d479aca5d33b02e5a1e214555d3c443aa104e70479ef25d9e2e6afa18cc6f3

Aliases

arxiv: 2608.09764 · arxiv_version: 2608.09764v1 · doi: 10.48550/arxiv.2608.09764 · pith_short_12: 63KHTLFF2M5Q · pith_short_16: 63KHTLFF2M5QFZNB · pith_short_8: 63KHTLFF

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/63KHTLFF2M5QFZNB4IKFKXJ4IQ \
  | 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: f6d479aca5d33b02e5a1e214555d3c443aa104e70479ef25d9e2e6afa18cc6f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9211a03ec184c546281d690555ad06faf5466c3b6d33d680674b6c2e89f6db95",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-10T15:55:11Z",
    "title_canon_sha256": "841425ed4ab42110e08625e4317b5b430af38c059ab5657b0d8fa22ddfe9a661"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09764",
    "kind": "arxiv",
    "version": 1
  }
}