Pith Number

pith:7KAPE4T4

pith:2021:7KAPE4T4CYVZWV4HPDEONNMABO

not attested not anchored not stored refs pending

Computing Voronoi Diagrams in the Polar-Coordinate Model of the Hyperbolic Plane

Leon Schiller, Maximilian Katzmann, Tobias Friedrich

arxiv:2112.02553 v2 · 2021-12-05 · 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{7KAPE4T4CYVZWV4HPDEONNMABO}

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	2026-07-05T05:36:01.281843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa80f2727c162b9b578778c8e6b5800ba7682cbc3371f54e560d31feb2381ada

Aliases

arxiv: 2112.02553 · arxiv_version: 2112.02553v2 · doi: 10.48550/arxiv.2112.02553 · pith_short_12: 7KAPE4T4CYVZ · pith_short_16: 7KAPE4T4CYVZWV4H · pith_short_8: 7KAPE4T4

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/7KAPE4T4CYVZWV4HPDEONNMABO \
  | 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: fa80f2727c162b9b578778c8e6b5800ba7682cbc3371f54e560d31feb2381ada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa2d4593dd5b96aa58beaa876d605f232d734726d582ce2112319f5da0b01cac",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2021-12-05T12:07:31Z",
    "title_canon_sha256": "3f1142f712221518a6da541f96a0b3521d70e6237035d99a05cb90d722f3c6d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.02553",
    "kind": "arxiv",
    "version": 2
  }
}