Pith Number

pith:ZLX5YXRM

pith:2015:ZLX5YXRMMCUFTTLGEESTRQ7CUX

not attested not anchored not stored refs pending

The Book Thickness of 1-Planar Graphs is Constant

Chrysanthi N. Raftopoulou, Michael A. Bekos, Michael Kaufmann, Till Bruckdorfer

arxiv:1503.04990 v2 · 2015-03-17 · cs.DS · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLX5YXRMMCUFTTLGEESTRQ7CUX}

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	2026-05-18T02:20:02.572594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caefdc5e2c60a859cd66212538c3e2a5d66a1426bf90c38df59dc03b5185ef4f

Aliases

arxiv: 1503.04990 · arxiv_version: 1503.04990v2 · doi: 10.48550/arxiv.1503.04990 · pith_short_12: ZLX5YXRMMCUF · pith_short_16: ZLX5YXRMMCUFTTLG · pith_short_8: ZLX5YXRM

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/ZLX5YXRMMCUFTTLGEESTRQ7CUX \
  | 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: caefdc5e2c60a859cd66212538c3e2a5d66a1426bf90c38df59dc03b5185ef4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2f8dfd423790a076f82b4eae545716cf4f4b4a2673b32e4076611276a2b910c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-03-17T10:49:36Z",
    "title_canon_sha256": "07070796b4690bd0396b4ad2c2c32a107a89ac5bee01d23a3e06a64aaca9531a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04990",
    "kind": "arxiv",
    "version": 2
  }
}