Pith Number

pith:LHMMADCU

pith:2013:LHMMADCUDS4H4EXKTOYLUBEVNQ

not attested not anchored not stored refs pending

Firefly Algorithm: Recent Advances and Applications

Xingshi He, Xin-She Yang

arxiv:1308.3898 v1 · 2013-08-18 · math.OC · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHMMADCUDS4H4EXKTOYLUBEVNQ}

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	2026-05-18T03:15:35.354230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59d8c00c541cb87e12ea9bb0ba04956c0908bd773d4931d707c2d0fd7cfe1f5a

Aliases

arxiv: 1308.3898 · arxiv_version: 1308.3898v1 · doi: 10.48550/arxiv.1308.3898 · pith_short_12: LHMMADCUDS4H · pith_short_16: LHMMADCUDS4H4EXK · pith_short_8: LHMMADCU

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/LHMMADCUDS4H4EXKTOYLUBEVNQ \
  | 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: 59d8c00c541cb87e12ea9bb0ba04956c0908bd773d4931d707c2d0fd7cfe1f5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21e4392e6d249261fe08dd6b4e885e61545cc00b1c5653a1c9533df68e5279fc",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-08-18T21:47:08Z",
    "title_canon_sha256": "be20f1a8fae8f18b338a252fbe2f11a9232735e6eb7932c7f64cf52de955ce45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3898",
    "kind": "arxiv",
    "version": 1
  }
}