Pith Number

pith:K5Y5NF3K

pith:2009:K5Y5NF3KZVHH2SUIAVYPVVN4AZ

not attested not anchored not stored refs pending

A Gr\"obner bases methodology for solving multiobjective polynomial integer programs

Justo Puerto, V\'ictor Blanco

arxiv:0902.1304 v2 · 2009-02-08 · math.OC · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K5Y5NF3KZVHH2SUIAVYPVVN4AZ}

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	2026-05-18T04:31:20.588538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5771d6976acd4e7d4a880570fad5bc064e8f3a880a3005e4183438aa721f2dcf

Aliases

arxiv: 0902.1304 · arxiv_version: 0902.1304v2 · doi: 10.48550/arxiv.0902.1304 · pith_short_12: K5Y5NF3KZVHH · pith_short_16: K5Y5NF3KZVHH2SUI · pith_short_8: K5Y5NF3K

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/K5Y5NF3KZVHH2SUIAVYPVVN4AZ \
  | 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: 5771d6976acd4e7d4a880570fad5bc064e8f3a880a3005e4183438aa721f2dcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4541c88e02197993cc00348c21815390ede92ee7e4a80d6f06e10ae0f6f36b27",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-02-08T11:46:46Z",
    "title_canon_sha256": "640806fe1ba8c554849195c379ca0cdb40c946e28076258d4bf9fcf343aecc4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1304",
    "kind": "arxiv",
    "version": 2
  }
}