Pith Number

pith:ME2TSSII

pith:2026:ME2TSSIIRQT3UNHKUUNICCIPRP

not attested not anchored not stored refs pending

Computing Twin-Width via Treedepth and Vertex Integrity

Mathis Rocton, Robert Ganian

arxiv:2606.20331 v1 · 2026-06-18 · cs.DS · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ME2TSSIIRQT3UNHKUUNICCIPRP}

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	2026-06-19T16:13:09.109065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61353949088c27ba34eaa51a81090f8bd606fc68b8cdae24fcd7873c388a0d58

Aliases

arxiv: 2606.20331 · arxiv_version: 2606.20331v1 · doi: 10.48550/arxiv.2606.20331 · pith_short_12: ME2TSSIIRQT3 · pith_short_16: ME2TSSIIRQT3UNHK · pith_short_8: ME2TSSII

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/ME2TSSIIRQT3UNHKUUNICCIPRP \
  | 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: 61353949088c27ba34eaa51a81090f8bd606fc68b8cdae24fcd7873c388a0d58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3b9bb884e67db4a816e268ca5072ad3a48d6b30c6dd2bbaa0314dd81473ec3f",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-06-18T15:04:39Z",
    "title_canon_sha256": "d162517740b909a027f39e50b99f2ab0fa160387720e177ebf0994eb6021cba5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20331",
    "kind": "arxiv",
    "version": 1
  }
}