Pith Number

pith:6KOAQ4XI

pith:2019:6KOAQ4XIS7PBDD3MFBDYQYRI3V

not attested not anchored not stored refs pending

A new lower bound on the maximum number of plane graphs using production matrices

Alexander Pilz, Clemens Huemer, Rodrigo I. Silveira

arxiv:1902.09841 v1 · 2019-02-26 · cs.CG · 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{6KOAQ4XIS7PBDD3MFBDYQYRI3V}

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	2026-05-17T23:52:35.207116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f29c0872e897de118f6c2847886228dd70cc7ab59097ae483551ab62fbf146d8

Aliases

arxiv: 1902.09841 · arxiv_version: 1902.09841v1 · doi: 10.48550/arxiv.1902.09841 · pith_short_12: 6KOAQ4XIS7PB · pith_short_16: 6KOAQ4XIS7PBDD3M · pith_short_8: 6KOAQ4XI

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/6KOAQ4XIS7PBDD3MFBDYQYRI3V \
  | 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: f29c0872e897de118f6c2847886228dd70cc7ab59097ae483551ab62fbf146d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "123eb1d8770d3982b42f213cfc3aa605a5201a4e73214fd4c5e7c3834322c3f7",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2019-02-26T10:20:20Z",
    "title_canon_sha256": "438aa2708ef7f6cf87eb2f40b804c22b5143981c4b18edb91406560d5ea3a215"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.09841",
    "kind": "arxiv",
    "version": 1
  }
}