Pith Number

pith:2AUSBXWX

pith:2010:2AUSBXWXVQRAMS4O63PUQLHPBO

not attested not anchored not stored refs pending

Firefly Algorithm, Stochastic Test Functions and Design Optimisation

Xin-She Yang

arxiv:1003.1409 v1 · 2010-03-06 · 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{2AUSBXWXVQRAMS4O63PUQLHPBO}

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	2026-05-18T03:59:03.408145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d02920ded7ac22064b8ef6df482cef0ba66b42fd9161ca8d1238a3ad52a58d22

Aliases

arxiv: 1003.1409 · arxiv_version: 1003.1409v1 · doi: 10.48550/arxiv.1003.1409 · pith_short_12: 2AUSBXWXVQRA · pith_short_16: 2AUSBXWXVQRAMS4O · pith_short_8: 2AUSBXWX

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/2AUSBXWXVQRAMS4O63PUQLHPBO \
  | 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: d02920ded7ac22064b8ef6df482cef0ba66b42fd9161ca8d1238a3ad52a58d22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73934448455594c4606b5a05110ab8b2733c71d6dc249d5922921a731203f4f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-03-06T17:51:36Z",
    "title_canon_sha256": "9916caa50a5fa1ea7344c052e41bc07b877d4c005aecf60b4cbdd2f44ab87536"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1409",
    "kind": "arxiv",
    "version": 1
  }
}