pith. sign in
Pith Number

pith:IBD5BO7C

pith:2014:IBD5BO7CXFZCBCAADT4DA4ZCSC
not attested not anchored not stored refs pending

There are Plane Spanners of Maximum Degree 4

Ge Xia, Iyad Kanj, Ljubomir Perkovi\'c, Nicolas Bonichon

arxiv:1403.5350 v1 · 2014-03-21 · cs.CG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IBD5BO7CXFZCBCAADT4DA4ZCSC}

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 2026-05-18T02:55:56.596752Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4047d0bbe2b9722088001cf83073229091ed0ef3ef1640da18cadc523b0c0f91

Aliases

arxiv: 1403.5350 · arxiv_version: 1403.5350v1 · doi: 10.48550/arxiv.1403.5350 · pith_short_12: IBD5BO7CXFZC · pith_short_16: IBD5BO7CXFZCBCAA · pith_short_8: IBD5BO7C
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IBD5BO7CXFZCBCAADT4DA4ZCSC \
  | 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: 4047d0bbe2b9722088001cf83073229091ed0ef3ef1640da18cadc523b0c0f91
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3a6b196c9ab643d67d734a80de670c1693d86227fa6220b64966703ca6ba747c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2014-03-21T02:50:05Z",
    "title_canon_sha256": "d0f8f9903e84c1c3472375d621ed2df1db3d0c4b3716e45acc59d25db28351fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5350",
    "kind": "arxiv",
    "version": 1
  }
}