Pith Number

pith:5JTPWKHH

pith:2014:5JTPWKHHQ6ALQRIJSZWFGFDPRC

not attested not anchored not stored refs pending

On the Complexity of Clustered-Level Planarity and T-Level Planarity

Fabrizio Frati, Giordano Da Lozzo, Giuseppe Di Battista, Patrizio Angelini, Vincenzo Roselli

arxiv:1406.6533 v1 · 2014-06-25 · cs.DS · 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{5JTPWKHHQ6ALQRIJSZWFGFDPRC}

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	2026-05-18T02:49:02.650501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea66fb28e78780b84509966c53146f889c6079f7586019539c99ee4a5a7ca4c0

Aliases

arxiv: 1406.6533 · arxiv_version: 1406.6533v1 · doi: 10.48550/arxiv.1406.6533 · pith_short_12: 5JTPWKHHQ6AL · pith_short_16: 5JTPWKHHQ6ALQRIJ · pith_short_8: 5JTPWKHH

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/5JTPWKHHQ6ALQRIJSZWFGFDPRC \
  | 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: ea66fb28e78780b84509966c53146f889c6079f7586019539c99ee4a5a7ca4c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "481a1fe26975566d14e8d7a806c5fc273ee84654f190385e00ffa14ebee3d8f0",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2014-06-25T12:04:08Z",
    "title_canon_sha256": "4d8ef3c1be54b6488251099d7b02a7e2d4c9b70a6a50c35c581e630539308774"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6533",
    "kind": "arxiv",
    "version": 1
  }
}