Pith Number

pith:BQMUUS47

pith:2017:BQMUUS47EMMKFJY5YWOXWZFTWY

not attested not anchored not stored refs pending

Beyond Outerplanarity

Alexander Wolff, Andre L\"offler, Giuseppe Liotta, Myroslav Kryven, Steven Chaplick

arxiv:1708.08723 v4 · 2017-08-29 · 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{BQMUUS47EMMKFJY5YWOXWZFTWY}

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

1 paper in Pith

On the maximum number of edges of outer k-planar graphs

Receipt and verification

First computed	2026-06-02T02:04:03.259148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c194a4b9f2318a2a71dc59d7b64b3b624f8f4e1faf42f2cbfd463acd21e94c7

Aliases

arxiv: 1708.08723 · arxiv_version: 1708.08723v4 · doi: 10.48550/arxiv.1708.08723 · pith_short_12: BQMUUS47EMMK · pith_short_16: BQMUUS47EMMKFJY5 · pith_short_8: BQMUUS47

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/BQMUUS47EMMKFJY5YWOXWZFTWY \
  | 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: 0c194a4b9f2318a2a71dc59d7b64b3b624f8f4e1faf42f2cbfd463acd21e94c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1674d402d82d6e6a011cb924b7eaff3c857411a25082f19112fb6ff5f54a9776",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-08-29T12:26:43Z",
    "title_canon_sha256": "a35991c8c8896c68b2454e68c81471d7d3617245c74e3ee13c718e4f9edbab38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08723",
    "kind": "arxiv",
    "version": 4
  }
}