Pith Number

pith:EPOARPWL

pith:2007:EPOARPWLQBGHP4ODKK2MUTT7RL

not attested not anchored not stored refs pending

FPTAS for optimizing polynomials over the mixed-integer points of polytopes in fixed dimension

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

arxiv:0706.2354 v1 · 2007-06-15 · 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{EPOARPWLQBGHP4ODKK2MUTT7RL}

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	2026-05-18T00:53:41.113462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23dc08becb804c77f1c352b4ca4e7f8ae0a4ec881facb2606a09a1e800e640d2

Aliases

arxiv: 0706.2354 · arxiv_version: 0706.2354v1 · doi: 10.48550/arxiv.0706.2354 · pith_short_12: EPOARPWLQBGH · pith_short_16: EPOARPWLQBGHP4OD · pith_short_8: EPOARPWL

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/EPOARPWLQBGHP4ODKK2MUTT7RL \
  | 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: 23dc08becb804c77f1c352b4ca4e7f8ae0a4ec881facb2606a09a1e800e640d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26cecf4b2bb15c756c8faf9bad3ac6ba9be0f64bb61b8929d524e0ddbe5fe28d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2007-06-15T18:57:33Z",
    "title_canon_sha256": "79c9399b114d165f9d70ec36bff52ba70ef1fb4b221b83210c4672e0e97f2698"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.2354",
    "kind": "arxiv",
    "version": 1
  }
}