Pith Number

pith:ZVMGMHBM

pith:2025:ZVMGMHBMWFHT2TB2HKOXANOMDT

not attested not anchored not stored refs pending

Excluding a Ladder as an Induced Minor in Graphs Without Induced Stars

Mujin Choi, Sebastian Wiederrecht

arxiv:2509.04026 v1 · 2025-09-04 · 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{ZVMGMHBMWFHT2TB2HKOXANOMDT}

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	2026-07-05T12:04:52.061988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd58661c2cb14f3d4c3a3a9d7035cc1cd1d7106dbea2a505d9bb66ccedb5ae77

Aliases

arxiv: 2509.04026 · arxiv_version: 2509.04026v1 · doi: 10.48550/arxiv.2509.04026 · pith_short_12: ZVMGMHBMWFHT · pith_short_16: ZVMGMHBMWFHT2TB2 · pith_short_8: ZVMGMHBM

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/ZVMGMHBMWFHT2TB2HKOXANOMDT \
  | 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: cd58661c2cb14f3d4c3a3a9d7035cc1cd1d7106dbea2a505d9bb66ccedb5ae77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84f11f93b9be88ffec5e775a8494e0e2c3f3ea098096d38fe59975a26be0696d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-09-04T09:00:07Z",
    "title_canon_sha256": "f6108ebafc84541390378baf9f3e3f30c8c40fbf034b78d1b8da91ae48bee5ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.04026",
    "kind": "arxiv",
    "version": 1
  }
}