Pith Number

pith:VPVTLN2S

pith:2012:VPVTLN2SLNK7D5CJLSOYDGBZKQ

not attested not anchored not stored refs pending

Inapproximability of Dominating Set in Power Law Graphs

Marek Karpinski, Mathias Hauptmann, Mikael Gast

arxiv:1212.3517 v1 · 2012-12-14 · 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{VPVTLN2SLNK7D5CJLSOYDGBZKQ}

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	2026-05-18T03:38:24.413807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abeb35b7525b55f1f4495c9d8198395417bc55ca1ff6143c032c7799aedba88e

Aliases

arxiv: 1212.3517 · arxiv_version: 1212.3517v1 · doi: 10.48550/arxiv.1212.3517 · pith_short_12: VPVTLN2SLNK7 · pith_short_16: VPVTLN2SLNK7D5CJ · pith_short_8: VPVTLN2S

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/VPVTLN2SLNK7D5CJLSOYDGBZKQ \
  | 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: abeb35b7525b55f1f4495c9d8198395417bc55ca1ff6143c032c7799aedba88e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0fda939849e9911f6c2b06097b8e51b9f73a5c710526606041a1b5334f9a306",
    "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": "2012-12-14T16:31:32Z",
    "title_canon_sha256": "555d24e0a02806b44e0fad64fc08f4dc3663d32218f1998f1c721e8d3d3c28f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3517",
    "kind": "arxiv",
    "version": 1
  }
}