Pith Number

pith:A7MD44AC

pith:2024:A7MD44ACXN5O64HKJD3OXCXNX2

not attested not anchored not stored refs pending

Quadratic versus Polynomial Unconstrained Binary Models for Quantum Optimization illustrated on Railway Timetabling

Camille Grange (LITIS), Eric Bourreau, Marion Lavignac, Valentina Pozzoli

arxiv:2411.10062 v1 · 2024-11-15 · 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{A7MD44ACXN5O64HKJD3OXCXNX2}

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	2026-07-05T09:35:58.160726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07d83e7002bb7aef70ea48f6eb8aedbe9d83a792f73538696a8642a730735500

Aliases

arxiv: 2411.10062 · arxiv_version: 2411.10062v1 · doi: 10.48550/arxiv.2411.10062 · pith_short_12: A7MD44ACXN5O · pith_short_16: A7MD44ACXN5O64HK · pith_short_8: A7MD44AC

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/A7MD44ACXN5O64HKJD3OXCXNX2 \
  | 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: 07d83e7002bb7aef70ea48f6eb8aedbe9d83a792f73538696a8642a730735500

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddd4e5ec434e91c237f4369fae3de230ce7d514a5c1e7bb144f5b4e32528ea72",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-11-15T09:23:52Z",
    "title_canon_sha256": "1e50e7276fa21aac5bda0affb2e9873c8533380e82129d82cfe80e58a0453383"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.10062",
    "kind": "arxiv",
    "version": 1
  }
}