Pith Number

pith:RC2KUCIA

pith:2026:RC2KUCIAK6ZR6IUGKSDXBJDWDJ

not attested not anchored not stored refs pending

Spectrally Safe Neural Operator Warm-Starts for Large-Scale Newton Solvers

George Em Karniadakis, Jaemin Oh, Jerome Darbon, Youngkyu Lee

arxiv:2606.21828 v1 · 2026-06-20 · math.NA · cs.LG · 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{RC2KUCIAK6ZR6IUGKSDXBJDWDJ}

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	2026-06-23T02:13:00.200001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88b4aa090057b31f2286548770a4761a400b40537c6cdadd8b1ea9f583c25864

Aliases

arxiv: 2606.21828 · arxiv_version: 2606.21828v1 · doi: 10.48550/arxiv.2606.21828 · pith_short_12: RC2KUCIAK6ZR · pith_short_16: RC2KUCIAK6ZR6IUG · pith_short_8: RC2KUCIA

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/RC2KUCIAK6ZR6IUGKSDXBJDWDJ \
  | 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: 88b4aa090057b31f2286548770a4761a400b40537c6cdadd8b1ea9f583c25864

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36f8db9ee49cc0dafb9d538779739a8ce9f4bebf572b5afce36fd89774557f78",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-20T01:34:19Z",
    "title_canon_sha256": "0498bced63ca624d6396bc8edb3c5116b2d1cb9716dc7e53e76ce7a8038477ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21828",
    "kind": "arxiv",
    "version": 1
  }
}