Pith Number

pith:M5JWE2UK

pith:2021:M5JWE2UK6OQJSIFDF6YNKMMVBR

not attested not anchored not stored refs pending

Characterization of QUBO reformulations for the maximum $k$-colorable subgraph problem

David Bernal, Luis F. Zuluaga, Rodolfo Quintero, Tam\'as Terlaky

arxiv:2101.09462 v1 · 2021-01-23 · quant-ph · 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{M5JWE2UK6OQJSIFDF6YNKMMVBR}

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	2026-07-05T02:09:18.933327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6753626a8af3a09920a32fb0d531950c6f2c46d2ce8eb6c0ba383ec71c4fb644

Aliases

arxiv: 2101.09462 · arxiv_version: 2101.09462v1 · doi: 10.48550/arxiv.2101.09462 · pith_short_12: M5JWE2UK6OQJ · pith_short_16: M5JWE2UK6OQJSIFD · pith_short_8: M5JWE2UK

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/M5JWE2UK6OQJSIFDF6YNKMMVBR \
  | 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: 6753626a8af3a09920a32fb0d531950c6f2c46d2ce8eb6c0ba383ec71c4fb644

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de38c101a35d5882bc84d4e8dd7d9b869a3a88332c24731a4a4f63787e42e672",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-01-23T09:28:33Z",
    "title_canon_sha256": "1072dfb4124cc9ff1e1c4f188a34cce87f98a23b3d7bce59eada77d47279683e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.09462",
    "kind": "arxiv",
    "version": 1
  }
}