Pith Number

pith:64ECCUGD

pith:2023:64ECCUGDXI65VSX7HUQ3G6RU22

not attested not anchored not stored refs pending

Upward and Orthogonal Planarity are W[1]-hard Parameterized by Treewidth

Bart M. P. Jansen, Fabrizio Montecchiani, Giuseppe Liotta, Kirill Simonov, Liana Khazaliya, Philipp Kindermann

arxiv:2309.01264 v1 · 2023-09-03 · cs.CG · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{64ECCUGDXI65VSX7HUQ3G6RU22}

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	2026-07-05T06:47:35.308041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7082150c3ba3ddacaff3d21b37a34d68b5da3610bb2419a8b6405e496e1d62b

Aliases

arxiv: 2309.01264 · arxiv_version: 2309.01264v1 · doi: 10.48550/arxiv.2309.01264 · pith_short_12: 64ECCUGDXI65 · pith_short_16: 64ECCUGDXI65VSX7 · pith_short_8: 64ECCUGD

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/64ECCUGDXI65VSX7HUQ3G6RU22 \
  | 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: f7082150c3ba3ddacaff3d21b37a34d68b5da3610bb2419a8b6405e496e1d62b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c184f22066ce9d58d37d0084548868577048c9f62f13ce2b405ce5fd7df68799",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2023-09-03T20:09:52Z",
    "title_canon_sha256": "aa832a2e8c650e4658dfb9d8256ff614eb900b5ca553c70b40df897d3ac876b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.01264",
    "kind": "arxiv",
    "version": 1
  }
}