Pith Number

pith:C5PM4PP2

pith:2018:C5PM4PP2FHOTM75CXUY4EQNBJM

not attested not anchored not stored refs pending

Parallel Whale Optimization Algorithm for Solving Constrained and Unconstrained Optimization Problems

Aboul Ella Hassanien, Amr M. Sauber, Essam H. Houssein, Mohammed M. Nasef

arxiv:1807.09217 v1 · 2018-06-21 · cs.NE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C5PM4PP2FHOTM75CXUY4EQNBJM}

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	2026-05-18T00:09:56.390613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

175ece3dfa29dd367fa2bd31c241a14b1bb944f67f136cdff3e9044871b44971

Aliases

arxiv: 1807.09217 · arxiv_version: 1807.09217v1 · doi: 10.48550/arxiv.1807.09217 · pith_short_12: C5PM4PP2FHOT · pith_short_16: C5PM4PP2FHOTM75C · pith_short_8: C5PM4PP2

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/C5PM4PP2FHOTM75CXUY4EQNBJM \
  | 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: 175ece3dfa29dd367fa2bd31c241a14b1bb944f67f136cdff3e9044871b44971

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "916f926b41669dba732a8c55934c5af9a4b37b9e1324cc5885930958f139dbb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2018-06-21T11:41:22Z",
    "title_canon_sha256": "86bfc7a4777c9df5d78d237295b2b33dbb2c28eaab65cd23fa92c0880c01080c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.09217",
    "kind": "arxiv",
    "version": 1
  }
}