Pith Number

pith:2KIODM6C

pith:2024:2KIODM6CJGIKZK3MVJ4ATG3FS3

not attested not anchored not stored refs pending

On $k$-planar Graphs without Short Cycles

Aaron B\"ungener, Alexandra Weinberger, Michael A. Bekos, Michael Hoffmann, Michael Kaufmann, Pat Morin, Prosenjit Bose, Saeed Odak, Vida Dujmovi\'c

arxiv:2408.16085 v1 · 2024-08-28 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2KIODM6CJGIKZK3MVJ4ATG3FS3}

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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

The minimum size of maximal bipartite IC-plane graphs with given connectivity

Receipt and verification

First computed	2026-07-05T09:00:25.746392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d290e1b3c24990acab6caa78099b6596c5ba43b1c719632e2d6da361a8c60703

Aliases

arxiv: 2408.16085 · arxiv_version: 2408.16085v1 · doi: 10.48550/arxiv.2408.16085 · pith_short_12: 2KIODM6CJGIK · pith_short_16: 2KIODM6CJGIKZK3M · pith_short_8: 2KIODM6C

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/2KIODM6CJGIKZK3MVJ4ATG3FS3 \
  | 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: d290e1b3c24990acab6caa78099b6596c5ba43b1c719632e2d6da361a8c60703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf4df3ff624fa5f1c8ec84455bd0528a1c8894df3e2d5b1f518be86a75a6b705",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-08-28T18:28:23Z",
    "title_canon_sha256": "3fc9f5c808ea0ed99352f31c292022ce6c1924e74db33122a0dbbccd5f48a872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.16085",
    "kind": "arxiv",
    "version": 1
  }
}