Pith Number

pith:KH2544AH

pith:2018:KH2544AH3SA2733DPM4ZYZ5ZY7

not attested not anchored not stored refs pending

A Tutorial on Formulating and Using QUBO Models

Fred Glover, Gary Kochenberger, Yu Du

arxiv:1811.11538 v6 · 2018-11-13 · cs.DS · cs.DM · math.OC · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KH2544AH3SA2733DPM4ZYZ5ZY7}

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.

Cited by

28 papers in Pith

Feasibility-driven QAOA with penalty scheduling

A Distributed Quantum Approximate Optimization Algorithm Simulator for Engineering Design Optimization

Blocked Gibbs meets Diffusion Transformers: Unsupervised Learning for Constraint Optimization

Receipt and verification

First computed	2026-07-05T00:16:49.290032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51f5de7007dc81afef637b399c67b9c7e690c8bf464af2c5187e25f53ac874a5

Aliases

arxiv: 1811.11538 · arxiv_version: 1811.11538v6 · doi: 10.48550/arxiv.1811.11538 · pith_short_12: KH2544AH3SA2 · pith_short_16: KH2544AH3SA2733D · pith_short_8: KH2544AH

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/KH2544AH3SA2733DPM4ZYZ5ZY7 \
  | 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: 51f5de7007dc81afef637b399c67b9c7e690c8bf464af2c5187e25f53ac874a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5370ad1b27109cb0801ab19414b9067fa74d50186bc2f7c155d99b3830f5d93",
    "cross_cats_sorted": [
      "cs.DM",
      "math.OC",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-11-13T18:38:34Z",
    "title_canon_sha256": "ae9493ceb3edff583ce9e921aa381babe4a8d5a901a289c2798a4be740586912"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.11538",
    "kind": "arxiv",
    "version": 6
  }
}