Pith Number

pith:3G6NPBNF

pith:2009:3G6NPBNFZ3KJZP3FEZ4JZGOPJ3

not attested not anchored not stored refs pending

Nonlinear Integer Programming

Jon Lee, Matthias K\"oppe, Raymond Hemmecke, Robert Weismantel

arxiv:0906.5171 v1 · 2009-06-28 · 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{3G6NPBNFZ3KJZP3FEZ4JZGOPJ3}

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	2026-05-18T00:53:41.070741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9bcd785a5ced49cbf6526789c99cf4ef92ae83dd978e7c868648788a25d3e6b

Aliases

arxiv: 0906.5171 · arxiv_version: 0906.5171v1 · doi: 10.48550/arxiv.0906.5171 · pith_short_12: 3G6NPBNFZ3KJ · pith_short_16: 3G6NPBNFZ3KJZP3F · pith_short_8: 3G6NPBNF

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/3G6NPBNFZ3KJZP3FEZ4JZGOPJ3 \
  | 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: d9bcd785a5ced49cbf6526789c99cf4ef92ae83dd978e7c868648788a25d3e6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69cc9d42df1b7309a8585e15bea0de44766a32a0d11880182cb6ab7a719bd471",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-06-28T21:05:55Z",
    "title_canon_sha256": "c5e54db58a196cac0e6e30f79d8615467b633a2e12c75f2f8753dcdc5fffbe14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.5171",
    "kind": "arxiv",
    "version": 1
  }
}