Pith Number

pith:YQWNL4LC

pith:2023:YQWNL4LCL6OOVQVFYVUL2OIS5V

not attested not anchored not stored refs pending

Recognizing Unit Disk Graphs in Hyperbolic Geometry is $\exists\mathbb{R}$-Complete

Emil Dohse, Nicholas Bieker, Paul Jungeblut, Thomas Bl\"asius

arxiv:2301.05550 v1 · 2023-01-13 · 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{YQWNL4LCL6OOVQVFYVUL2OIS5V}

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

Layered tree-independence number and clique-based separators

Receipt and verification

First computed	2026-07-05T05:32:54.264360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c42cd5f1625f9ceac2a5c568bd3912ed7bf0a78c24299c52c34cff07f772254b

Aliases

arxiv: 2301.05550 · arxiv_version: 2301.05550v1 · doi: 10.48550/arxiv.2301.05550 · pith_short_12: YQWNL4LCL6OO · pith_short_16: YQWNL4LCL6OOVQVF · pith_short_8: YQWNL4LC

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/YQWNL4LCL6OOVQVFYVUL2OIS5V \
  | 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: c42cd5f1625f9ceac2a5c568bd3912ed7bf0a78c24299c52c34cff07f772254b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cba9249866995b6627da21f8deb7adebb4a050625c383b26ab3869de29fe47d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2023-01-13T13:55:03Z",
    "title_canon_sha256": "6f5c0ddbc216dd9b888a8bee16952a1d2e025f6faa3e8cce3bfabb889a787d8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.05550",
    "kind": "arxiv",
    "version": 1
  }
}