Pith Number

pith:Z376OPAG

pith:2008:Z376OPAGMVTVSUCE5NK6LMPRU4

not attested not anchored not stored refs pending

A Nearly Linear-Time PTAS for Explicit Fractional Packing and Covering Linear Programs

Christos Koufogiannakis, Neal E. Young

arxiv:0801.1987 v2 · 2008-01-13 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z376OPAGMVTVSUCE5NK6LMPRU4}

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	2026-05-18T01:59:59.457158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceffe73c066567595044eb55e5b1f1a72c6aa98e8c1ad1425183c78fe5ce5521

Aliases

arxiv: 0801.1987 · arxiv_version: 0801.1987v2 · doi: 10.48550/arxiv.0801.1987 · pith_short_12: Z376OPAGMVTV · pith_short_16: Z376OPAGMVTVSUCE · pith_short_8: Z376OPAG

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/Z376OPAGMVTVSUCE5NK6LMPRU4 \
  | 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: ceffe73c066567595044eb55e5b1f1a72c6aa98e8c1ad1425183c78fe5ce5521

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5ccfe89b9df2ed925c74c2762dcbae0e4cb499940dc7136cc304b7d0c20924c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2008-01-13T22:04:49Z",
    "title_canon_sha256": "3cb4dd4096f68414708458720cd785467c8e8b1e81adcc445e752961a68598a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.1987",
    "kind": "arxiv",
    "version": 2
  }
}