Pith Number

pith:5V23FZZJ

pith:2016:5V23FZZJFGLYAEHUXGBYG3PYRB

not attested not anchored not stored refs pending

The Complexity of Drawing Graphs on Few Lines and Few Planes

Alexander Ravsky, Alexander Wolff, Fabian Lipp, Krzysztof Fleszar, Oleg Verbitsky, Steven Chaplick

arxiv:1607.06444 v4 · 2016-07-21 · cs.CC · 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{5V23FZZJFGLYAEHUXGBYG3PYRB}

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.

Cited by

1 paper in Pith

Optimal Curve Straightening is $\exists\mathbb{R}$-Complete

Receipt and verification

First computed	2026-07-05T07:50:46.751299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed75b2e72929978010f4b983836df88876ea1a76495e0bd5fb6c49576e042ceb

Aliases

arxiv: 1607.06444 · arxiv_version: 1607.06444v4 · doi: 10.48550/arxiv.1607.06444 · pith_short_12: 5V23FZZJFGLY · pith_short_16: 5V23FZZJFGLYAEHU · pith_short_8: 5V23FZZJ

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/5V23FZZJFGLYAEHUXGBYG3PYRB \
  | 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: ed75b2e72929978010f4b983836df88876ea1a76495e0bd5fb6c49576e042ceb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78df397b0c94c292fe456bb7f617f3568fa69242a323c9503acb0d9c3ff2b828",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-07-21T19:50:36Z",
    "title_canon_sha256": "7e13685e7a4850bdc62ca906480f7ffdaa17dd5cf16bef5a1a12c542684f47c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06444",
    "kind": "arxiv",
    "version": 4
  }
}