Pith Number

pith:P4KYL5SR

pith:2024:P4KYL5SRDTJYWY372Y5MATZHN7

not attested not anchored not stored refs pending

Sobolev Training for Operator Learning

Hyung Ju Hwang, Junseung Ryu, Namkyeong Cho

arxiv:2402.09084 v1 · 2024-02-14 · 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{P4KYL5SRDTJYWY372Y5MATZHN7}

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	2026-07-05T07:45:08.355986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f1585f6511cd38b637fd63ac04f276fea06abc14326a5889f2831bf06c76b89

Aliases

arxiv: 2402.09084 · arxiv_version: 2402.09084v1 · doi: 10.48550/arxiv.2402.09084 · pith_short_12: P4KYL5SRDTJY · pith_short_16: P4KYL5SRDTJYWY37 · pith_short_8: P4KYL5SR

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/P4KYL5SRDTJYWY372Y5MATZHN7 \
  | 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: 7f1585f6511cd38b637fd63ac04f276fea06abc14326a5889f2831bf06c76b89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2209e095d97a19660410b3c139aad80cbd953faeb94cd2c68804393a93a27f93",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-02-14T10:57:29Z",
    "title_canon_sha256": "09dd57a62d23cdf806746faeaa1a2735d2e7f252615f5d9c666b62bdaaa4c65c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.09084",
    "kind": "arxiv",
    "version": 1
  }
}