Pith Number

pith:KHMB7TMF

pith:2012:KHMB7TMFLXGYM2B2H2W75E7KSN

not attested not anchored not stored refs pending

Label Cover instances with large girth and the hardness of approximating basic k-spanner

Guy Kortsarz, Michael Dinitz, Ran Raz

arxiv:1203.0224 v2 · 2012-03-01 · cs.DS · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KHMB7TMFLXGYM2B2H2W75E7KSN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:00:51.270045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51d81fcd855dcd86683a3eadfe93ea93587d44bcb256cea9f1fc6d0d1532c162

Aliases

arxiv: 1203.0224 · arxiv_version: 1203.0224v2 · doi: 10.48550/arxiv.1203.0224 · pith_short_12: KHMB7TMFLXGY · pith_short_16: KHMB7TMFLXGYM2B2 · pith_short_8: KHMB7TMF

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/KHMB7TMFLXGYM2B2H2W75E7KSN \
  | 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: 51d81fcd855dcd86683a3eadfe93ea93587d44bcb256cea9f1fc6d0d1532c162

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aea612e8ef2582367430eff2bb651fb46b664bdb6e71612bbf7e8fd1778de24f",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-03-01T15:58:01Z",
    "title_canon_sha256": "f822fdb0f06610dd154d74e8e05e31987e4c070b642838d8687ea78797987215"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0224",
    "kind": "arxiv",
    "version": 2
  }
}