Pith Number

pith:MCPAUVWT

pith:2026:MCPAUVWTCH5EISTSDNU5V3RLDR

not attested not anchored not stored refs pending

Learning universal approximations for partial differential equations with Physics-Informed Broad Learning System

C. L. Philip Chen, Derong Yang, Jane You, Jianmin Lv, Kaixiang Yang, Liujian Zhang, Peilin Zhan, Zhiwen Yu

arxiv:2606.19754 v1 · 2026-06-18 · cs.LG · cs.NA · 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{MCPAUVWTCH5EISTSDNU5V3RLDR}

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	2026-06-19T16:12:34.177407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

609e0a56d311fa444a721b69daee2b1c608d6b9cb341ff2a7939770669d04aa5

Aliases

arxiv: 2606.19754 · arxiv_version: 2606.19754v1 · doi: 10.48550/arxiv.2606.19754 · pith_short_12: MCPAUVWTCH5E · pith_short_16: MCPAUVWTCH5EISTS · pith_short_8: MCPAUVWT

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/MCPAUVWTCH5EISTSDNU5V3RLDR \
  | 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: 609e0a56d311fa444a721b69daee2b1c608d6b9cb341ff2a7939770669d04aa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b63e286d60e66c0a56c79c70177796fb4e93bf6b57bee07408343d8b614109e",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-18T03:34:06Z",
    "title_canon_sha256": "1ed84cd321488eb8c5b7204f1a489ce1f618413c1acd8a221da4db143ea622ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19754",
    "kind": "arxiv",
    "version": 1
  }
}