Pith Number

pith:EK26MMGX

pith:2025:EK26MMGX5Q2B6ANW6V3W2KGS2O

not attested not anchored not stored refs pending

k-Planar and Fan-Crossing Drawings and Transductions of Embeddable Graphs

Jan Jedelsk\'y, Petr Hlin\v{e}n\'y

arxiv:2506.08585 v4 · 2025-06-10 · cs.CG · cs.LO · 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{EK26MMGX5Q2B6ANW6V3W2KGS2O}

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	2026-06-30T02:18:04.315768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22b5e630d7ec341f01b6f5776d28d2d3af57fa90ec1125be050151ebc533752f

Aliases

arxiv: 2506.08585 · arxiv_version: 2506.08585v4 · doi: 10.48550/arxiv.2506.08585 · pith_short_12: EK26MMGX5Q2B · pith_short_16: EK26MMGX5Q2B6ANW · pith_short_8: EK26MMGX

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/EK26MMGX5Q2B6ANW6V3W2KGS2O \
  | 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: 22b5e630d7ec341f01b6f5776d28d2d3af57fa90ec1125be050151ebc533752f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1e4f392253e8fc2fa6beb765a44419c1a9c60d68b2db5c7187f0919b0d43b01",
    "cross_cats_sorted": [
      "cs.LO",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2025-06-10T08:54:08Z",
    "title_canon_sha256": "c08617d0eac32d9d814be013380b6a2533b984c2696be7cfa7c8806932d0e324"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08585",
    "kind": "arxiv",
    "version": 4
  }
}