Pith Number

pith:VJUS7PFO

pith:2011:VJUS7PFOHQ4L2DOR4BS727LW2M

not attested not anchored not stored refs pending

Tight Approximation Bounds for Vertex Cover on Dense k-Partite Hypergraphs

Claus Viehmann, Marek Karpinski, Richard Schmied

arxiv:1107.2000 v1 · 2011-07-11 · 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{VJUS7PFOHQ4L2DOR4BS727LW2M}

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	2026-05-18T04:18:33.658050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa692fbcae3c38bd0dd1e065fd7d76d31febdba1f973ef825252db99ed377d31

Aliases

arxiv: 1107.2000 · arxiv_version: 1107.2000v1 · doi: 10.48550/arxiv.1107.2000 · pith_short_12: VJUS7PFOHQ4L · pith_short_16: VJUS7PFOHQ4L2DOR · pith_short_8: VJUS7PFO

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/VJUS7PFOHQ4L2DOR4BS727LW2M \
  | 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: aa692fbcae3c38bd0dd1e065fd7d76d31febdba1f973ef825252db99ed377d31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0dc29a574c93e406f3a91d1cc82b5a7dd9ab043662a63111d5d264bf4479514",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-07-11T11:18:27Z",
    "title_canon_sha256": "b84daee2882aa30e2e4872abd6510760f19833158bdae3a23d3dc0b9c7ef810b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2000",
    "kind": "arxiv",
    "version": 1
  }
}