Pith Number

pith:KXFLG3G2

pith:2018:KXFLG3G2OTG4VXD7SQDA4352V5

not attested not anchored not stored refs pending

The interval number of a planar graph is at most three

Guillaume Gu\'egan, Jonathan Rollin, Kolja Knauer, Torsten Ueckerdt

arxiv:1805.02947 v3 · 2018-05-08 · 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{KXFLG3G2OTG4VXD7SQDA4352V5}

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	2026-05-17T23:39:37.184404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55cab36cda74cdcadc7f94060e6fbaaf70ede5bf40be6c554b6bf4c1a8535338

Aliases

arxiv: 1805.02947 · arxiv_version: 1805.02947v3 · doi: 10.48550/arxiv.1805.02947 · pith_short_12: KXFLG3G2OTG4 · pith_short_16: KXFLG3G2OTG4VXD7 · pith_short_8: KXFLG3G2

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/KXFLG3G2OTG4VXD7SQDA4352V5 \
  | 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: 55cab36cda74cdcadc7f94060e6fbaaf70ede5bf40be6c554b6bf4c1a8535338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a58e72cf0215ef79a6bcc5bb54446f46004eec816d92d42ef5063ca32ad6d3d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-08T11:15:35Z",
    "title_canon_sha256": "b51ed4e41a3664daaa0c3e11bf2379d82e29c3b225bdc76eb39d0a53e33dec60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02947",
    "kind": "arxiv",
    "version": 3
  }
}