Pith Number

pith:L5PFQMDU

pith:2018:L5PFQMDUUVZ37CJKCTXLTWUW7K

not attested not anchored not stored refs pending

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

Gwena\"el Joret, Jean-Florent Raymond, Tony Huynh, Wouter Cames van Batenburg

arxiv:1807.04969 v5 · 2018-07-13 · 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{L5PFQMDUUVZ37CJKCTXLTWUW7K}

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	2026-07-05T00:14:29.162801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f5e583074a573bf892a14eeb9da96faab4019db07d1648bd413229b79566691

Aliases

arxiv: 1807.04969 · arxiv_version: 1807.04969v5 · doi: 10.48550/arxiv.1807.04969 · pith_short_12: L5PFQMDUUVZ3 · pith_short_16: L5PFQMDUUVZ37CJK · pith_short_8: L5PFQMDU

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/L5PFQMDUUVZ37CJKCTXLTWUW7K \
  | 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: 5f5e583074a573bf892a14eeb9da96faab4019db07d1648bd413229b79566691

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "422fe9915ded2d60aa4cc25edde180f5a8ca16e6d1834a4f4f1053cfb154b6b9",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-13T08:24:29Z",
    "title_canon_sha256": "f1828a41dcff1c5c3a19b7292b781c47ee2281e29ed8be3bc8ea036a730aa765"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04969",
    "kind": "arxiv",
    "version": 5
  }
}