Pith Number

pith:K3USXK3W

pith:2026:K3USXK3WEG5YBSESXW6U77VAEB

not attested not anchored not stored refs pending

Spectral Audit of In-Context Operator Networks

George Em Karniadakis, Liu Yang, Zhiwei Gao

arxiv:2606.02427 v1 · 2026-06-01 · 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{K3USXK3WEG5YBSESXW6U77VAEB}

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	2026-06-02T03:04:59.033836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56e92bab7621bb80c892bdbd4ffea02079d007a7441be631f021266f1309fdac

Aliases

arxiv: 2606.02427 · arxiv_version: 2606.02427v1 · doi: 10.48550/arxiv.2606.02427 · pith_short_12: K3USXK3WEG5Y · pith_short_16: K3USXK3WEG5YBSES · pith_short_8: K3USXK3W

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/K3USXK3WEG5YBSESXW6U77VAEB \
  | 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: 56e92bab7621bb80c892bdbd4ffea02079d007a7441be631f021266f1309fdac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "500c5cc383cc95689f1029e320880918487a12926c1e7c35acc61e1c1b53fce0",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-01T16:04:21Z",
    "title_canon_sha256": "b8d6bebe4d0733ba37c638faa0c674484a7c2053f2287911d4432d658f7d093d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02427",
    "kind": "arxiv",
    "version": 1
  }
}