Pith Number

pith:QABMATC5

pith:2015:QABMATC5BOHICQLXXRTVWTHWE6

not attested not anchored not stored refs pending

LP approximations to mixed-integer polynomial optimization problems

Daniel Bienstock, Gonzalo Munoz

arxiv:1501.00288 v15 · 2015-01-01 · math.OC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QABMATC5BOHICQLXXRTVWTHWE6}

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	2026-05-18T01:01:52.466189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8002c04c5d0b8e814177bc675b4cf627a28aca11ae2fd19bca6b6dcc3b3e0e00

Aliases

arxiv: 1501.00288 · arxiv_version: 1501.00288v15 · doi: 10.48550/arxiv.1501.00288 · pith_short_12: QABMATC5BOHI · pith_short_16: QABMATC5BOHICQLX · pith_short_8: QABMATC5

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/QABMATC5BOHICQLXXRTVWTHWE6 \
  | 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: 8002c04c5d0b8e814177bc675b4cf627a28aca11ae2fd19bca6b6dcc3b3e0e00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc794b4769340b3afeb2cbdf6153d235b32b69e769ca0657159a40b18aee665b",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-01-01T16:49:21Z",
    "title_canon_sha256": "551388bd85cf84ccac064df6eb486e26aa58c0a9788e4bc16a30e245eb3d49e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00288",
    "kind": "arxiv",
    "version": 15
  }
}