Pith Number

pith:242B5NEX

pith:2024:242B5NEX527XBLDYJF7ESC5NMG

not attested not anchored not stored refs pending

Treewidth versus clique number. IV. Tree-independence number of graphs excluding an induced star

Andrea Munaro, Cl\'ement Dallard, Kenny \v{S}torgel, Martin Milani\v{c}, Matja\v{z} Krnc, O-joung Kwon, Sebastian Wiederrecht

arxiv:2402.11222 v2 · 2024-02-17 · math.CO · cs.DM · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{242B5NEX527XBLDYJF7ESC5NMG}

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

5 papers in Pith

Induced Erd\H{o}s--P\'osa property for long holes, long thetas, and beyond

Forcing monochromatic induced subgraphs

Tree-independence number of $K_{1,d}$-free graph classes

Tree decompositions with small width, spread, order and degree

Tree-alpha and excluding finitely many graphs

Receipt and verification

First computed	2026-07-05T07:47:10.067560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7341eb497eebf70ac78497e490bad6196d368d2c3ee397011c627b5db9fbd98

Aliases

arxiv: 2402.11222 · arxiv_version: 2402.11222v2 · doi: 10.48550/arxiv.2402.11222 · pith_short_12: 242B5NEX527X · pith_short_16: 242B5NEX527XBLDY · pith_short_8: 242B5NEX

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/242B5NEX527XBLDYJF7ESC5NMG \
  | 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: d7341eb497eebf70ac78497e490bad6196d368d2c3ee397011c627b5db9fbd98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2acab1b40282dd9a8f21d995fab5790253009e4477f1a049d17c9420647e2a4d",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-02-17T08:38:58Z",
    "title_canon_sha256": "7aba6816b74c67f4d5c92b85b147a77a3a0fe503a7e12b7dfc01c752734d4aad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.11222",
    "kind": "arxiv",
    "version": 2
  }
}