Pith Number

pith:LVKKWFEZ

pith:2023:LVKKWFEZJCKXFPAMS7IVKRAPVP

not attested not anchored not stored refs pending

On the geometric thickness of 2-degenerate graphs

Andr\'e Schulz, Jonathan Rollin, Marco Ricci, Rahul Jain

arxiv:2302.14721 v1 · 2023-02-28 · math.CO · cs.CG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LVKKWFEZJCKXFPAMS7IVKRAPVP}

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	2026-07-05T05:46:48.991724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d54ab1499489572bc0c97d155440fabeb05960c31345fef6e73a00ebb11adb4

Aliases

arxiv: 2302.14721 · arxiv_version: 2302.14721v1 · doi: 10.48550/arxiv.2302.14721 · pith_short_12: LVKKWFEZJCKX · pith_short_16: LVKKWFEZJCKXFPAM · pith_short_8: LVKKWFEZ

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/LVKKWFEZJCKXFPAMS7IVKRAPVP \
  | 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: 5d54ab1499489572bc0c97d155440fabeb05960c31345fef6e73a00ebb11adb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9ab6d383d6152660968fefad366d2ef807be8a1dd83d846340e46d4bd92f1b2",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-02-28T16:31:56Z",
    "title_canon_sha256": "debf6259a17b27ebb68567efaca3b5debf0900f04964855b295b8d674f08c965"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.14721",
    "kind": "arxiv",
    "version": 1
  }
}