Pith Number

pith:R2REPL5O

pith:2007:R2REPL5OAN6Z7Z4YVD3A22SXLJ

not attested not anchored not stored refs pending

Voronoi Tessellations and the Cosmic Web: Spatial Patterns and Clustering across the Universe

Rien van de Weygaert (Kapteyn Institute, the Netherlands), University of Groningen

arxiv:0707.2877 v1 · 2007-07-19 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R2REPL5OAN6Z7Z4YVD3A22SXLJ}

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	2026-07-04T15:03:09.573842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ea247afae037d9fe798a8f60d6a575a4c6baaef1ef818507b105d08e764e75f

Aliases

arxiv: 0707.2877 · arxiv_version: 0707.2877v1 · doi: 10.48550/arxiv.0707.2877 · pith_short_12: R2REPL5OAN6Z · pith_short_16: R2REPL5OAN6Z7Z4Y · pith_short_8: R2REPL5O

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/R2REPL5OAN6Z7Z4YVD3A22SXLJ \
  | 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: 8ea247afae037d9fe798a8f60d6a575a4c6baaef1ef818507b105d08e764e75f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dfe1d7d7e6f99239eef3e543559af176fbabb2eb8939c3415ce7822f1f857ac",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-07-19T12:02:35Z",
    "title_canon_sha256": "482e9dc00a93cfc29ddd81c6066f9e562c713655fbdcb4308101ae016f0a780e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.2877",
    "kind": "arxiv",
    "version": 1
  }
}