Pith Number

pith:DV5JSGR2

pith:2026:DV5JSGR2ICEKKBTT56VHDLIKNC

not attested not anchored not stored refs pending

Multiple Neural Operators Achieve Near-Optimal Rates for Multi-Task Learning

Adrien Weihs, Hayden Schaeffer

arxiv:2605.22724 v1 · 2026-05-21 · cs.LG · cs.NA · math.NA · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DV5JSGR2ICEKKBTT56VHDLIKNC}

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	2026-05-22T02:04:52.043411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d7a991a3a4088a50673efaa71ad0a689a781c1171ca23a6c4f770c0666af422

Aliases

arxiv: 2605.22724 · arxiv_version: 2605.22724v1 · doi: 10.48550/arxiv.2605.22724 · pith_short_12: DV5JSGR2ICEK · pith_short_16: DV5JSGR2ICEKKBTT · pith_short_8: DV5JSGR2

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/DV5JSGR2ICEKKBTT56VHDLIKNC \
  | 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: 1d7a991a3a4088a50673efaa71ad0a689a781c1171ca23a6c4f770c0666af422

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79eef1d802f2b15f93cc656d5a06a4d350e9a5dd37bda1bdfbc7c94292c2d946",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-21T16:57:33Z",
    "title_canon_sha256": "7767bcc5476d19e0e2c273db73eab76b47c7b0c58ab2e0ef39e137506400b7a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22724",
    "kind": "arxiv",
    "version": 1
  }
}