Pith Number

pith:MQNAE4R7

pith:2016:MQNAE4R7J7232XLOFR3NYJQRCO

not attested not anchored not stored refs pending

An Improved Discrete Bat Algorithm for Symmetric and Asymmetric Traveling Salesman Problems

Eneko Osaba, Fernando Diaz, Pedro Lopez-Garcia, Roberto Carballedo, Xin-She Yang

arxiv:1604.04138 v1 · 2016-04-14 · cs.NE · cs.AI · 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{MQNAE4R7J7232XLOFR3NYJQRCO}

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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	2026-05-18T01:17:06.542107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

641a02723f4ff5bd5d6e2c76dc261113a0bde7d5f4c0928bbdc7d8a8462dace7

Aliases

arxiv: 1604.04138 · arxiv_version: 1604.04138v1 · doi: 10.48550/arxiv.1604.04138 · pith_short_12: MQNAE4R7J723 · pith_short_16: MQNAE4R7J7232XLO · pith_short_8: MQNAE4R7

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/MQNAE4R7J7232XLOFR3NYJQRCO \
  | 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: 641a02723f4ff5bd5d6e2c76dc261113a0bde7d5f4c0928bbdc7d8a8462dace7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78c48860bf838de43a01142932ab43cd91dcb5559ad570863bb1c3444cbda5db",
    "cross_cats_sorted": [
      "cs.AI",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2016-04-14T12:52:20Z",
    "title_canon_sha256": "3d18bb29fc281703587909f8f661fd4feaff5e5c3057a79dc4fbabdcce6d71a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04138",
    "kind": "arxiv",
    "version": 1
  }
}