Pith Number

pith:VNETFC3Z

pith:2026:VNETFC3ZTKCD56CEYD5BYEI5AB

not attested not anchored not stored refs pending

Monotone Clustered Level Planarity

Ignaz Rutter, Marie Diana Sieper, Matthias Pfretzschner, Simon D. Fink

arxiv:2607.17930 v1 · 2026-07-20 · cs.DS · 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{VNETFC3ZTKCD56CEYD5BYEI5AB}

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	2026-07-21T02:22:07.073724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab49328b799a843ef844c0fa1c111d004b1ba696181ab48174a250f6c048707e

Aliases

arxiv: 2607.17930 · arxiv_version: 2607.17930v1 · doi: 10.48550/arxiv.2607.17930 · pith_short_12: VNETFC3ZTKCD · pith_short_16: VNETFC3ZTKCD56CE · pith_short_8: VNETFC3Z

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/VNETFC3ZTKCD56CEYD5BYEI5AB \
  | 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: ab49328b799a843ef844c0fa1c111d004b1ba696181ab48174a250f6c048707e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1452354a297273fe6d192b039d4196dabfeab64686cf8f47a096f7cb3110abd7",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-07-20T13:29:27Z",
    "title_canon_sha256": "0f441a6b4c2f65f0fc9170b2a2ed537a2a66abc3f7cb10adb11b66e5908cf340"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17930",
    "kind": "arxiv",
    "version": 1
  }
}