Pith Number

pith:3MMYH7PT

pith:2012:3MMYH7PTR2V3DCDDTF65L52Z4G

not attested not anchored not stored refs pending

Bat Algorithm for Multi-objective Optimisation

Xin-She Yang

arxiv:1203.6571 v1 · 2012-03-29 · 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{3MMYH7PTR2V3DCDDTF65L52Z4G}

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	2026-05-18T03:59:02.158332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db1983fdf38eabb18863997dd5f759e1ad6eeaa3c4e431f0454f50fafb7319a1

Aliases

arxiv: 1203.6571 · arxiv_version: 1203.6571v1 · doi: 10.48550/arxiv.1203.6571 · pith_short_12: 3MMYH7PTR2V3 · pith_short_16: 3MMYH7PTR2V3DCDD · pith_short_8: 3MMYH7PT

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/3MMYH7PTR2V3DCDDTF65L52Z4G \
  | 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: db1983fdf38eabb18863997dd5f759e1ad6eeaa3c4e431f0454f50fafb7319a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb7f31aa6451884849c3d8c90b21a01851e3a0589e218d7479d51e89ee102eec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-03-29T16:03:51Z",
    "title_canon_sha256": "93ebb1aecf0b15a611ac5a3014744474154d5816f54f523a27dacfcc3246b116"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6571",
    "kind": "arxiv",
    "version": 1
  }
}