Pith Number

pith:CROICCVY

pith:2025:CROICCVYRLXVKSNGAGPJBJXDQG

not attested not anchored not stored refs pending

Every Graph is Essential to Large Treewidth

Bogdan Alecu, \'Edouard Bonnet, Nicolas Trotignon, Pedro Bureo Villafana

arxiv:2502.14775 v3 · 2025-02-20 · 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{CROICCVYRLXVKSNGAGPJBJXDQG}

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

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T10:42:43.740393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

145c810ab88aef5549a6019e90a6e381a9b06bc4aa2adc69598ddaad0b743018

Aliases

arxiv: 2502.14775 · arxiv_version: 2502.14775v3 · doi: 10.48550/arxiv.2502.14775 · pith_short_12: CROICCVYRLXV · pith_short_16: CROICCVYRLXVKSNG · pith_short_8: CROICCVY

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/CROICCVYRLXVKSNGAGPJBJXDQG \
  | 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: 145c810ab88aef5549a6019e90a6e381a9b06bc4aa2adc69598ddaad0b743018

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a34ab01391ee3abc0d8e2f1b42066655a5922d899917d8c600983bafd598eda6",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-02-20T17:59:36Z",
    "title_canon_sha256": "f783620287699caca1b617b020f4772b35e0a344e4eefef33b81d7c0ba045e43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.14775",
    "kind": "arxiv",
    "version": 3
  }
}