Pith Number

pith:LRZ2L7TZ

pith:2015:LRZ2L7TZ5QZFOE6QGP7I6HGQWB

not attested not anchored not stored refs pending

On the Book Thickness of 1-Planar Graphs

Franz J. Brandenburg, Md. Jawaherul Alam, Stephen G. Kobourov

arxiv:1510.05891 v1 · 2015-10-20 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LRZ2L7TZ5QZFOE6QGP7I6HGQWB}

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	2026-05-18T01:29:39.411775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c73a5fe79ec325713d033fe8f1cd0b05e87567c343cbd72e4e6e715fc1a5daa

Aliases

arxiv: 1510.05891 · arxiv_version: 1510.05891v1 · doi: 10.48550/arxiv.1510.05891 · pith_short_12: LRZ2L7TZ5QZF · pith_short_16: LRZ2L7TZ5QZFOE6Q · pith_short_8: LRZ2L7TZ

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/LRZ2L7TZ5QZFOE6QGP7I6HGQWB \
  | 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: 5c73a5fe79ec325713d033fe8f1cd0b05e87567c343cbd72e4e6e715fc1a5daa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbd2c68ad08a0825bb3ae6dbe0cac3df3791b233c5ec7d4624c81fe331365867",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2015-10-20T13:40:33Z",
    "title_canon_sha256": "2c2cbb6a1701ae416cba9e2c9d1890824354cbd26cf9e546e5e6304c747e7d47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05891",
    "kind": "arxiv",
    "version": 1
  }
}