Pith Number

pith:KM36J6DF

pith:2018:KM36J6DF5O2GXRUZM5VHX2KVIE

not attested not anchored not stored refs pending

Direct transcription methods based on fractional integral approximation formulas for solving nonlinear fractional optimal control problems

Abubakar Bello Salati, Delfim F. M. Torres, Mostafa Shamsi

arxiv:1805.06537 v1 · 2018-05-16 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KM36J6DF5O2GXRUZM5VHX2KVIE}

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	2026-05-18T00:07:40.356889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5337e4f865ebb46bc699676a7be9554114518d43a22861da2338f4616d7cde24

Aliases

arxiv: 1805.06537 · arxiv_version: 1805.06537v1 · doi: 10.48550/arxiv.1805.06537 · pith_short_12: KM36J6DF5O2G · pith_short_16: KM36J6DF5O2GXRUZ · pith_short_8: KM36J6DF

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/KM36J6DF5O2GXRUZM5VHX2KVIE \
  | 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: 5337e4f865ebb46bc699676a7be9554114518d43a22861da2338f4616d7cde24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b01588bee2d0bbf28301254dbb43fc17eb5adf1a4de209482a93cd24c6816440",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-05-16T21:44:18Z",
    "title_canon_sha256": "7b73c77dff7bfe7d01738bb159a6a615f4315f148a3438535770090019f6351d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06537",
    "kind": "arxiv",
    "version": 1
  }
}