Pith Number

pith:D66HCIC7

pith:2021:D66HCIC7JJA6YZTUPPZ4TJDUCR

not attested not anchored not stored refs pending

A Caputo fractional derivative-based algorithm for optimization

George Em Karniadakis, J\'er\^ome Darbon, Yeonjong Shin

arxiv:2104.02259 v1 · 2021-04-06 · math.OC · 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{D66HCIC7JJA6YZTUPPZ4TJDUCR}

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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.

Cited by

1 paper in Pith

Applications of fractional calculus in learned optimization

Receipt and verification

First computed	2026-07-05T02:29:16.229446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fbc71205f4a41ec66747bf3c9a474147d7a11d8f6dceec4e98eff0cf2742c1e

Aliases

arxiv: 2104.02259 · arxiv_version: 2104.02259v1 · doi: 10.48550/arxiv.2104.02259 · pith_short_12: D66HCIC7JJA6 · pith_short_16: D66HCIC7JJA6YZTU · pith_short_8: D66HCIC7

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/D66HCIC7JJA6YZTUPPZ4TJDUCR \
  | 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: 1fbc71205f4a41ec66747bf3c9a474147d7a11d8f6dceec4e98eff0cf2742c1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1eb6a3c0b8e183608d16a441ec0408290ddb75cb0412c279357ce143711ed6e",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-04-06T03:01:14Z",
    "title_canon_sha256": "a687e77726787c14250f6deb212a675e414c9c46c56a1bc49b0c36c463ca621a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.02259",
    "kind": "arxiv",
    "version": 1
  }
}