Pith Number

pith:NNYMERZQ

pith:2015:NNYMERZQHGEKO3FOFRKJ7UTSBT

not attested not anchored not stored refs pending

On 4-Map Graphs and 1-Planar Graphs and their Recognition Problem

Franz J. Brandenburg

arxiv:1509.03447 v1 · 2015-09-11 · 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{NNYMERZQHGEKO3FOFRKJ7UTSBT}

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.

Cited by

2 papers in Pith

A Unified FPT Framework for Crossing Number Problems

Min-1-Planarity is NP-Hard

Receipt and verification

First computed	2026-05-18T01:33:23.173736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b70c247303988a76cae2c549fd2720cf42c18fdf9d74fbbfb0b8a7eb1e0d83d

Aliases

arxiv: 1509.03447 · arxiv_version: 1509.03447v1 · doi: 10.48550/arxiv.1509.03447 · pith_short_12: NNYMERZQHGEK · pith_short_16: NNYMERZQHGEKO3FO · pith_short_8: NNYMERZQ

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/NNYMERZQHGEKO3FOFRKJ7UTSBT \
  | 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: 6b70c247303988a76cae2c549fd2720cf42c18fdf9d74fbbfb0b8a7eb1e0d83d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "818df6a99bbfe7ea0669ecb29559581305b57bc7f076a850464939add2a71db7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2015-09-11T10:03:35Z",
    "title_canon_sha256": "cffdbe67c892ffd8b7525335c66aba342f7bf80a585adbef6745eb9c50afe7d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03447",
    "kind": "arxiv",
    "version": 1
  }
}