Pith Number

pith:2QNOOW4S

pith:2007:2QNOOW4SO62UNJBEHJCM6TVN53

not attested not anchored not stored refs pending

Pareto Optima of Multicriteria Integer Linear Programs

Jes\'us A. De Loera, Matthias K\"oppe, Raymond Hemmecke

arxiv:0707.1362 v1 · 2007-07-10 · 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{2QNOOW4SO62UNJBEHJCM6TVN53}

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	2026-05-18T00:53:41.098441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d41ae75b9277b546a4243a44cf4eadeee4c941553f5575d81c050cb9e3ba7125

Aliases

arxiv: 0707.1362 · arxiv_version: 0707.1362v1 · doi: 10.48550/arxiv.0707.1362 · pith_short_12: 2QNOOW4SO62U · pith_short_16: 2QNOOW4SO62UNJBE · pith_short_8: 2QNOOW4S

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/2QNOOW4SO62UNJBEHJCM6TVN53 \
  | 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: d41ae75b9277b546a4243a44cf4eadeee4c941553f5575d81c050cb9e3ba7125

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aa5a2a1e10fd7105bfce4acb3411175528395a04df64661c786b9fbdbe94498",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2007-07-10T03:52:59Z",
    "title_canon_sha256": "8b6bc4be6511ba3740d5f37fef2398d925d80637672d5997f4511f1d048a9c62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.1362",
    "kind": "arxiv",
    "version": 1
  }
}