Pith Number

pith:AZ4PEDOQ

pith:2017:AZ4PEDOQBEKY3NFO6VZVXJK5JO

not attested not anchored not stored refs pending

Heuristic Rectangle Splitting: Leveraging Single-Objective Heuristics to Efficiently Solve Multi-Objective Problems

Piotr Matl, Richard F. Hartl, Thibaut Vidal

arxiv:1705.10174 v1 · 2017-05-29 · 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{AZ4PEDOQBEKY3NFO6VZVXJK5JO}

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	2026-05-18T00:43:31.797430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0678f20dd009158db4aef5735ba55d4b88fc2d4dc783df4f8da5e1e53229923b

Aliases

arxiv: 1705.10174 · arxiv_version: 1705.10174v1 · doi: 10.48550/arxiv.1705.10174 · pith_short_12: AZ4PEDOQBEKY · pith_short_16: AZ4PEDOQBEKY3NFO · pith_short_8: AZ4PEDOQ

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/AZ4PEDOQBEKY3NFO6VZVXJK5JO \
  | 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: 0678f20dd009158db4aef5735ba55d4b88fc2d4dc783df4f8da5e1e53229923b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "898d99a3c80f10a385dfd4431ac2b2f7d5d6ad79be44610cda850952ddd0986d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-05-29T13:25:54Z",
    "title_canon_sha256": "d1f82f5a012728bf7ed0a0fb04c63f4a581dd9b911388a28bcfcdf8077f2105c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10174",
    "kind": "arxiv",
    "version": 1
  }
}