Pith Number

pith:WYLCTJ2U

pith:2025:WYLCTJ2UOQNPWCWQEHSY43XERV

not attested not anchored not stored refs pending

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines

Hwijae Son

arxiv:2501.09395 v1 · 2025-01-16 · cs.LG · cs.AI · 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{WYLCTJ2UOQNPWCWQEHSY43XERV}

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	2026-07-05T10:01:46.219479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b61629a754741afb0ad021e58e6ee48d47ef9f91ce737803bc99b964b1ebdac4

Aliases

arxiv: 2501.09395 · arxiv_version: 2501.09395v1 · doi: 10.48550/arxiv.2501.09395 · pith_short_12: WYLCTJ2UOQNP · pith_short_16: WYLCTJ2UOQNPWCWQ · pith_short_8: WYLCTJ2U

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/WYLCTJ2UOQNPWCWQEHSY43XERV \
  | 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: b61629a754741afb0ad021e58e6ee48d47ef9f91ce737803bc99b964b1ebdac4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3264c516385682a0f6bc8a8adee0dca9c6377c05c4d973325cca883a287fa4cc",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-01-16T09:06:43Z",
    "title_canon_sha256": "3bec9612e193fb04a58f0ec30116648ed86c25dc486ac6f611408200dce76af5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.09395",
    "kind": "arxiv",
    "version": 1
  }
}