Pith Number

pith:L4M3N32A

pith:2025:L4M3N32AXLZRZNHA7NWLSZWXZK

not attested not anchored not stored refs pending

The Erd\H{o}s-P\'{o}sa property for circle graphs as vertex-minors

J. Pascal Gollin, Meike Hatzel, O-joung Kwon, Rose McCarty, Rutger Campbell, Sang-il Oum, Sebastian Wiederrecht

arxiv:2506.03973 v1 · 2025-06-04 · 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{L4M3N32AXLZRZNHA7NWLSZWXZK}

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	2026-07-05T11:15:54.758416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f19b6ef40baf31cb4e0fb6cb966d7cab4375b9f97d74e477648fd3a87c9fc5a

Aliases

arxiv: 2506.03973 · arxiv_version: 2506.03973v1 · doi: 10.48550/arxiv.2506.03973 · pith_short_12: L4M3N32AXLZR · pith_short_16: L4M3N32AXLZRZNHA · pith_short_8: L4M3N32A

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/L4M3N32AXLZRZNHA7NWLSZWXZK \
  | 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: 5f19b6ef40baf31cb4e0fb6cb966d7cab4375b9f97d74e477648fd3a87c9fc5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc6b7b618600103ad12b4d85d23414aba1ec2558babf4c5832bd28ac6cff8708",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-04T14:02:26Z",
    "title_canon_sha256": "0e03a080387098c79c7f537599e229499270311a6fca0358014104d7cb86974b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.03973",
    "kind": "arxiv",
    "version": 1
  }
}