Pith Number

pith:BI6QNFS3

pith:2026:BI6QNFS34XZHMGL5OMMKLEWLNC

not attested not anchored not stored refs pending

Operator Learning for Cubic Nonlinear Schr\"odinger Equation on Periodic Domains

Emmanuel E. Oguadimma, Victory C. Obieke, Xueying Yu

arxiv:2606.27459 v1 · 2026-06-25 · cs.LG · cs.NA · math.AP · math.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{BI6QNFS34XZHMGL5OMMKLEWLNC}

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	2026-06-29T00:14:06.917992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a3d06965be5f276197d7318a592cb68b92ddb77da6c99cb1ce4d2f77bd2c012

Aliases

arxiv: 2606.27459 · arxiv_version: 2606.27459v1 · doi: 10.48550/arxiv.2606.27459 · pith_short_12: BI6QNFS34XZH · pith_short_16: BI6QNFS34XZHMGL5 · pith_short_8: BI6QNFS3

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/BI6QNFS34XZHMGL5OMMKLEWLNC \
  | 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: 0a3d06965be5f276197d7318a592cb68b92ddb77da6c99cb1ce4d2f77bd2c012

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4caa8ec4f4c9dcafd3442994f313bc90bb398bef8b89a31addd87f0c95927166",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-25T18:33:53Z",
    "title_canon_sha256": "b64dc7e2fc5861404ec9b4941dc1bece663611a3392ffaeb28486bad45a230b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27459",
    "kind": "arxiv",
    "version": 1
  }
}