pith. sign in
Pith Number

pith:RBW7BYLA

pith:2013:RBW7BYLAAPF22AK34C2IU3IIL6
not attested not anchored not stored refs pending

On the approximability of covering points by lines and related problems

Adrian Dumitrescu, Minghui Jiang

arxiv:1312.2549 v1 · 2013-12-09 · cs.CG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RBW7BYLAAPF22AK34C2IU3IIL6}

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 2026-05-18T03:05:10.026752Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

886df0e16003cbad015be0b48a6d085fa9401813f77f11c6722d2d9c82e07004

Aliases

arxiv: 1312.2549 · arxiv_version: 1312.2549v1 · doi: 10.48550/arxiv.1312.2549 · pith_short_12: RBW7BYLAAPF2 · pith_short_16: RBW7BYLAAPF22AK3 · pith_short_8: RBW7BYLA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RBW7BYLAAPF22AK34C2IU3IIL6 \
  | 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: 886df0e16003cbad015be0b48a6d085fa9401813f77f11c6722d2d9c82e07004
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2fddd9200458bde881ef84bd90fc6b2dabc15991bf73eb4c1a9f58bfd28fbc1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2013-12-09T19:14:05Z",
    "title_canon_sha256": "4f1b49857e5f74dc63f556867c8f3a7c259bac93b7cbc8aa47f5bf96d8781229"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2549",
    "kind": "arxiv",
    "version": 1
  }
}