Pith Number

pith:MI5JEAY4

pith:2023:MI5JEAY4PIMJU3RSPNMTTE5U6W

not attested not anchored not stored refs pending

The Graph Minor Structure Theorem through Bidimensionality

Dimitrios M. Thilikos, Sebastian Wiederrecht

arxiv:2306.01724 v6 · 2023-06-02 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MI5JEAY4PIMJU3RSPNMTTE5U6W}

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.

Cited by

4 papers in Pith

An Overview of Universal Obstructions for Graph Parameters

Colorful Minors

A coarse Menger's Theorem for planar and bounded genus graphs

Model Checking for Low Monodimensionality Fragments of CMSO on Topological-Minor-Free Graph Classes

Receipt and verification

First computed	2026-05-27T01:05:31.769535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

623a92031c7a189a6e327b593993b4f589b055f603f36f046cea221efebceb4c

Aliases

arxiv: 2306.01724 · arxiv_version: 2306.01724v6 · doi: 10.48550/arxiv.2306.01724 · pith_short_12: MI5JEAY4PIMJ · pith_short_16: MI5JEAY4PIMJU3RS · pith_short_8: MI5JEAY4

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/MI5JEAY4PIMJU3RSPNMTTE5U6W \
  | 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: 623a92031c7a189a6e327b593993b4f589b055f603f36f046cea221efebceb4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "181bae8556995fa08ea6e4300b148b56f294fa3b84c45de35ee68e19cfc4c06d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-06-02T17:50:10Z",
    "title_canon_sha256": "000e14f56f1f4d206be908a65f327024dd8ab2f2875174ebe26840b0db285f26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.01724",
    "kind": "arxiv",
    "version": 6
  }
}