Pith Number

pith:YMBRQBEU

pith:2024:YMBRQBEUP25OIVDDZGIKLF3S4N

not attested not anchored not stored refs pending

Grid Minors and Products

David R. Wood, David Worley, Pat Morin, Vida Dujmovi\'c

arxiv:2402.14181 v3 · 2024-02-21 · 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{YMBRQBEUP25OIVDDZGIKLF3S4N}

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

Short Paths in the Planar Graph Product Structure Theorem

Receipt and verification

First computed	2026-07-05T11:00:36.375407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3031804947ebae45463c990a59772e3707c111d31eef0b24f4476ec4d40caba

Aliases

arxiv: 2402.14181 · arxiv_version: 2402.14181v3 · doi: 10.48550/arxiv.2402.14181 · pith_short_12: YMBRQBEUP25O · pith_short_16: YMBRQBEUP25OIVDD · pith_short_8: YMBRQBEU

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/YMBRQBEUP25OIVDDZGIKLF3S4N \
  | 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: c3031804947ebae45463c990a59772e3707c111d31eef0b24f4476ec4d40caba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c1e523d9bc4d357b8d5f0d34ae8bbcef58c58e6e5bbd3d5978f8347a6c376f2",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-02-21T23:59:16Z",
    "title_canon_sha256": "7c3b7be19cc523ead68561a1c38deb1972ce3caed99f3d65e74c0278d5e8f225"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.14181",
    "kind": "arxiv",
    "version": 3
  }
}