Pith Number

pith:UT4QPNDA

pith:2018:UT4QPNDA3UESXNRO52AHAJ42FS

not attested not anchored not stored refs pending

Multilevel Planarity

Guido Br\"uckner, Lukas Barth, Marcel Radermacher, Paul Jungeblut

arxiv:1810.13297 v1 · 2018-10-31 · 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{UT4QPNDA3UESXNRO52AHAJ42FS}

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	2026-05-18T00:01:49.750334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4f907b460dd092bb62eee8070279a2c9621e9fd7cc893b0151f31ef9635d418

Aliases

arxiv: 1810.13297 · arxiv_version: 1810.13297v1 · doi: 10.48550/arxiv.1810.13297 · pith_short_12: UT4QPNDA3UES · pith_short_16: UT4QPNDA3UESXNRO · pith_short_8: UT4QPNDA

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/UT4QPNDA3UESXNRO52AHAJ42FS \
  | 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: a4f907b460dd092bb62eee8070279a2c9621e9fd7cc893b0151f31ef9635d418

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "293c37aecb4d04e2bcbcf478c3117dcf8ae95d34b73c7b08d76f4f49c95125e5",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-10-31T14:18:11Z",
    "title_canon_sha256": "391dd3fcbaf5e9b8c67069b8be53a9232411d7aae1ac68081feaaf9394cd3fb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.13297",
    "kind": "arxiv",
    "version": 1
  }
}