Pith Number

pith:UE5X6MII

pith:2025:UE5X6MII2EYPYD4OOFGGYH7R44

not attested not anchored not stored refs pending

DPNO: A Dual Path Architecture For Neural Operator

Wenlian Lu, Yichen Wang

arxiv:2507.12719 v1 · 2025-07-17 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UE5X6MII2EYPYD4OOFGGYH7R44}

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	2026-07-05T11:38:37.848781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a13b7f3108d130fc0f8e714c6c1ff1e73b22578f1d673a8db819a4147bd6052d

Aliases

arxiv: 2507.12719 · arxiv_version: 2507.12719v1 · doi: 10.48550/arxiv.2507.12719 · pith_short_12: UE5X6MII2EYP · pith_short_16: UE5X6MII2EYPYD4O · pith_short_8: UE5X6MII

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/UE5X6MII2EYPYD4OOFGGYH7R44 \
  | 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: a13b7f3108d130fc0f8e714c6c1ff1e73b22578f1d673a8db819a4147bd6052d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a31a530815df163d19ef23c85828c6a999776904ae946b09bda2f9c021721dd",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-07-17T01:52:18Z",
    "title_canon_sha256": "8dae46166b34e41f1d70083ce857b961848b95dfc64a514343b97e0e0bbd4f61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.12719",
    "kind": "arxiv",
    "version": 1
  }
}