Pith Number

pith:CSGCO2QU

pith:2002:CSGCO2QUVJ4RHOB4ADNGKUPBAC

not attested not anchored not stored refs pending

Approximation Algorithms for Covering/Packing Integer Programs

Neal E. Young, Stavros G. Kolliopoulos

arxiv:cs/0205030 v2 · 2002-05-18 · cs.DS · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CSGCO2QUVJ4RHOB4ADNGKUPBAC}

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	2026-05-18T01:59:54.019556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

148c276a14aa7913b83c00da6551e10082f9f36de1dc7ca3e55b639d88a7b581

Aliases

arxiv: cs/0205030 · arxiv_version: cs/0205030v2 · doi: 10.48550/arxiv.cs/0205030 · pith_short_12: CSGCO2QUVJ4R · pith_short_16: CSGCO2QUVJ4RHOB4 · pith_short_8: CSGCO2QU

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/CSGCO2QUVJ4RHOB4ADNGKUPBAC \
  | 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: 148c276a14aa7913b83c00da6551e10082f9f36de1dc7ca3e55b639d88a7b581

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2ed5a424b29810d38a746a40fc155ba4060cdd38e778c5fd536a586f1dc63d3",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "",
    "primary_cat": "cs.DS",
    "submitted_at": "2002-05-18T00:23:17Z",
    "title_canon_sha256": "34c9f49c92b4c056a6840c88697a37e47e5ae57c31c3ee377a6102531e868367"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0205030",
    "kind": "arxiv",
    "version": 2
  }
}