Pith Number

pith:NOKBQG57

pith:2026:NOKBQG57SKRIVDYNKBI43ZW332

not attested not anchored not stored refs pending

Operator Learning for Reconstructing Flow Fields from Sparse Measurements: a Language Model Approach

George Em Karniadakis, Qian Zhang

arxiv:2605.23712 v1 · 2026-05-22 · cs.CE · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NOKBQG57SKRIVDYNKBI43ZW332}

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	2026-05-25T02:02:27.555435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b94181bbf92a28a8f0d5051cde6dbde8c4757af3c89d72b1639c6855796cc43

Aliases

arxiv: 2605.23712 · arxiv_version: 2605.23712v1 · doi: 10.48550/arxiv.2605.23712 · pith_short_12: NOKBQG57SKRI · pith_short_16: NOKBQG57SKRIVDYN · pith_short_8: NOKBQG57

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/NOKBQG57SKRIVDYNKBI43ZW332 \
  | 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: 6b94181bbf92a28a8f0d5051cde6dbde8c4757af3c89d72b1639c6855796cc43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "618b5f4be03d8124079ec29c9887b76d775f9401e21e81b16efed1655699d53e",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2026-05-22T14:56:05Z",
    "title_canon_sha256": "8b4943213e9d21e1e057c1c434d92abd489e975f56b1c3e6958d4a6efb9e9a0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23712",
    "kind": "arxiv",
    "version": 1
  }
}