Pith Number

pith:X5I3AJ4I

pith:2019:X5I3AJ4IZ6BK6U6ZP44TKDMPI5

not attested not anchored not stored refs pending

Mapping NP-hard and NP-complete optimisation problems to Quadratic Unconstrained Binary Optimisation problems

Bas Lodewijks

arxiv:1911.08043 v4 · 2019-11-18 · cs.DS · cond-mat.stat-mech · cs.CC · 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{X5I3AJ4IZ6BK6U6ZP44TKDMPI5}

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

1 paper in Pith

A Resource-Efficient Quantum Framework for Graph Coloring and Chromatic Number Estimation

Receipt and verification

First computed	2026-07-05T01:23:55.697965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf51b02788cf82af53d97f39350d8f47639ae28440a4562600ca57cc10e48c1f

Aliases

arxiv: 1911.08043 · arxiv_version: 1911.08043v4 · doi: 10.48550/arxiv.1911.08043 · pith_short_12: X5I3AJ4IZ6BK · pith_short_16: X5I3AJ4IZ6BK6U6Z · pith_short_8: X5I3AJ4I

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/X5I3AJ4IZ6BK6U6ZP44TKDMPI5 \
  | 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: bf51b02788cf82af53d97f39350d8f47639ae28440a4562600ca57cc10e48c1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f00a82ef7b577dded3b751a631c6d3bc38889142c3f92030e01416e15664037e",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.CC",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-11-18T17:14:44Z",
    "title_canon_sha256": "03ce34343cc73348f5702a19005f69aa204b6065f1fa75178d026d36ff441599"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.08043",
    "kind": "arxiv",
    "version": 4
  }
}