Pith Number

pith:KX4U64JR

pith:2012:KX4U64JRX32NYQIXV32QCL3W4N

not attested not anchored not stored refs pending

Excluded Forest Minors and the Erd\H{o}s-P\'osa Property

David R. Wood, Gwena\"el Joret, Samuel Fiorini

arxiv:1204.5192 v3 · 2012-04-23 · 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{KX4U64JRX32NYQIXV32QCL3W4N}

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	2026-05-18T03:15:21.170207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55f94f7131bef4dc4117aef5012f76e37713fcd1388ce093362b696ad7f81ad1

Aliases

arxiv: 1204.5192 · arxiv_version: 1204.5192v3 · doi: 10.48550/arxiv.1204.5192 · pith_short_12: KX4U64JRX32N · pith_short_16: KX4U64JRX32NYQIX · pith_short_8: KX4U64JR

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/KX4U64JRX32NYQIXV32QCL3W4N \
  | 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: 55f94f7131bef4dc4117aef5012f76e37713fcd1388ce093362b696ad7f81ad1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce403fa1d9b03e760df35f77e9c1605e0e2c9bdf29f21567a8d9dbf0b13dabc0",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-23T20:01:59Z",
    "title_canon_sha256": "5e454ac26ddb4b8b90cc726a2f608422d804d4d5b4e7923c8ae12173f9eaa0a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5192",
    "kind": "arxiv",
    "version": 3
  }
}