Pith Number

pith:EGDQK43K

pith:2012:EGDQK43KGS46MR7CIRESAI63FZ

not attested not anchored not stored refs pending

Improved Approximation Lower Bounds for Vertex Cover on Power Law Graphs and Some Generalizations

Marek Karpinski, Mathias Hauptmann, Mikael Gast

arxiv:1210.2698 v1 · 2012-10-09 · cs.CC · cs.DM · cs.DS · math.CO · 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{EGDQK43KGS46MR7CIRESAI63FZ}

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	2026-05-18T03:43:40.882151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

218705736a34b9e647e244492023db2e52f4d54249f0c99f6762e5d1397ed2eb

Aliases

arxiv: 1210.2698 · arxiv_version: 1210.2698v1 · doi: 10.48550/arxiv.1210.2698 · pith_short_12: EGDQK43KGS46 · pith_short_16: EGDQK43KGS46MR7C · pith_short_8: EGDQK43K

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/EGDQK43KGS46MR7CIRESAI63FZ \
  | 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: 218705736a34b9e647e244492023db2e52f4d54249f0c99f6762e5d1397ed2eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33be18ee1a66993066cb89177d5d9d5e3ab8758ccf255427c99fa194b6651a25",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS",
      "math.CO",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-10-09T19:19:39Z",
    "title_canon_sha256": "b0c8dfc468268fe4127cd5f68a8a4cfa78f3b97379fb740ef56afcc64ad4f334"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2698",
    "kind": "arxiv",
    "version": 1
  }
}