Pith Number

pith:PN75C5IR

pith:2017:PN75C5IRSLJLTRMELH4UTXNNZ3

not attested not anchored not stored refs pending

A tight Erd\H{o}s-P\'osa function for wheel minors

Gwena\"el Joret, Ignasi Sau, Jean-Florent Raymond, Pierre Aboulker, Samuel Fiorini, Tony Huynh

arxiv:1710.06282 v3 · 2017-10-17 · cs.DM · 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{PN75C5IRSLJLTRMELH4UTXNNZ3}

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	2026-05-18T00:02:45.565823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b7fd1751192d2b9c58459f949ddadcefe09b5c1f5f6c032d048d8e5696b00bd

Aliases

arxiv: 1710.06282 · arxiv_version: 1710.06282v3 · doi: 10.48550/arxiv.1710.06282 · pith_short_12: PN75C5IRSLJL · pith_short_16: PN75C5IRSLJLTRME · pith_short_8: PN75C5IR

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/PN75C5IRSLJLTRMELH4UTXNNZ3 \
  | 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: 7b7fd1751192d2b9c58459f949ddadcefe09b5c1f5f6c032d048d8e5696b00bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa5d2f17c82a9f35eedb75d983efd1d0469dd6477a796518bc74454fd2a692dc",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-10-17T13:50:53Z",
    "title_canon_sha256": "6f9dfdd538f464d9843f221326bd72a4b5faa2eef9c91c0a5f0689801fba939d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06282",
    "kind": "arxiv",
    "version": 3
  }
}