Pith Number

pith:47LL27JA

pith:2019:47LL27JARKYUGUFKNSCK7CT2JT

not attested not anchored not stored refs pending

Simple $k$-Planar Graphs are Simple $(k+1)$-Quasiplanar

Csaba D. T\'oth, Fabrizio Montecchiani, Franz J. Brandenburg, Giordano Da Lozzo, Giuseppe Di Battista, Giuseppe Liotta, Ignaz Rutter, Michael A. Bekos, Michael Hoffmann, Patrizio Angelini, Walter Didimo

arxiv:1909.00223 v1 · 2019-08-31 · cs.CG · cs.DM · 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{47LL27JARKYUGUFKNSCK7CT2JT}

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	2026-07-05T00:54:02.257790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7d6bd7d208ab14350aa6c84af8a7a4ce3cd4a33099364828e63438a13d4b8bd

Aliases

arxiv: 1909.00223 · arxiv_version: 1909.00223v1 · doi: 10.48550/arxiv.1909.00223 · pith_short_12: 47LL27JARKYU · pith_short_16: 47LL27JARKYUGUFK · pith_short_8: 47LL27JA

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/47LL27JARKYUGUFKNSCK7CT2JT \
  | 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: e7d6bd7d208ab14350aa6c84af8a7a4ce3cd4a33099364828e63438a13d4b8bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "659a16c07c17b0bfc1001e3062d1a8ae0e551c600131ed9c9150670a349b2bcb",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2019-08-31T14:20:01Z",
    "title_canon_sha256": "b15271f0fd7b42420029bb751aaabf39555c756d071d4c4aef0566834d3d7107"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.00223",
    "kind": "arxiv",
    "version": 1
  }
}