Pith Number

pith:KUCWFWHR

pith:2015:KUCWFWHRST2T2DBYHLLHCZUWY4

not attested not anchored not stored refs pending

A review and evaluation of numerical tools for fractional calculus and fractional order control

Dingyu Xue, Lu Liu, Sina Dehghan, YangQuan Chen, Zhuo Li

arxiv:1511.07521 v1 · 2015-11-24 · cs.SY

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KUCWFWHRST2T2DBYHLLHCZUWY4}

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	2026-05-18T01:26:04.564395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

550562d8f194f53d0c383ad6716696c736b56e5b83a2188efa7ea587c3d45787

Aliases

arxiv: 1511.07521 · arxiv_version: 1511.07521v1 · doi: 10.48550/arxiv.1511.07521 · pith_short_12: KUCWFWHRST2T · pith_short_16: KUCWFWHRST2T2DBY · pith_short_8: KUCWFWHR

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/KUCWFWHRST2T2DBYHLLHCZUWY4 \
  | 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: 550562d8f194f53d0c383ad6716696c736b56e5b83a2188efa7ea587c3d45787

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5775b1f6cb601e749692dea6489750bd06692a33a3e359d749b83039dce2488d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2015-11-24T00:31:58Z",
    "title_canon_sha256": "f2030fa33293e29a611c12b4a7d7ad50d30de3778110ebca4eb346a18d13799e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07521",
    "kind": "arxiv",
    "version": 1
  }
}