Pith Number

pith:6KXV4SRG

pith:2009:6KXV4SRGKGKYBJBOPLD6AYLGKZ

not attested not anchored not stored refs pending

Computation with Polynomial Equations and Inequalities arising in Combinatorial Optimization

Jesus A. De Loera, Pablo A. Parrilo, Peter N. Malkin

arxiv:0909.0808 v1 · 2009-09-04 · 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{6KXV4SRGKGKYBJBOPLD6AYLGKZ}

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	2026-05-18T04:06:55.298957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2af5e4a26519580a42e7ac7e061665658abd87233f032a7aab081b3d78f2136

Aliases

arxiv: 0909.0808 · arxiv_version: 0909.0808v1 · doi: 10.48550/arxiv.0909.0808 · pith_short_12: 6KXV4SRGKGKY · pith_short_16: 6KXV4SRGKGKYBJBO · pith_short_8: 6KXV4SRG

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/6KXV4SRGKGKYBJBOPLD6AYLGKZ \
  | 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: f2af5e4a26519580a42e7ac7e061665658abd87233f032a7aab081b3d78f2136

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d606c6b076b961f85088e95cecabf4940a4c74eadb6dbe63738b49d8cfb5a9e3",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-09-04T04:42:43Z",
    "title_canon_sha256": "3969058c3c322dcce455ff68488f70574f8fb09dbac3382e8928d243d3aec103"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0808",
    "kind": "arxiv",
    "version": 1
  }
}