Pith Number

pith:SMMKOFXF

pith:2009:SMMKOFXFU5KNE23V26M6F7KJZV

not attested not anchored not stored refs pending

A polynomial-time algorithm for optimizing over N-fold 4-block decomposable integer programs

Matthias K\"oppe, Raymond Hemmecke, Robert Weismantel

arxiv:0911.4055 v1 · 2009-11-20 · math.OC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SMMKOFXFU5KNE23V26M6F7KJZV}

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	2026-05-18T02:10:45.455749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9318a716e5a754d26b75d799e2fd49cd6dac017a689438247795b494d9e224f3

Aliases

arxiv: 0911.4055 · arxiv_version: 0911.4055v1 · doi: 10.48550/arxiv.0911.4055 · pith_short_12: SMMKOFXFU5KN · pith_short_16: SMMKOFXFU5KNE23V · pith_short_8: SMMKOFXF

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/SMMKOFXFU5KNE23V26M6F7KJZV \
  | 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: 9318a716e5a754d26b75d799e2fd49cd6dac017a689438247795b494d9e224f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b03e3e029b0e3a04b7acaee591307868e9447707494b204c7c638b1b7da8376d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-11-20T14:34:00Z",
    "title_canon_sha256": "1e0076467f02572791f8ef1f6bb60f419a605a0205559c93cf6fb05e4383d79b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4055",
    "kind": "arxiv",
    "version": 1
  }
}