Pith Number

pith:2YQYBG73

pith:2025:2YQYBG73XRVRTJTOANZCPXQWRJ

not attested not anchored not stored refs pending

Features of the Spatial Distribution of Galaxy Clusters

Alexandr D. Kaminker, Andrei I. Ryabinkov

arxiv:2506.05847 v1 · 2025-06-06 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2YQYBG73XRVRTJTOANZCPXQWRJ}

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	2026-07-05T11:17:11.182011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d621809bfbbc6b19a66e037227de168a4d14db953e6793541bd283e8fa108d50

Aliases

arxiv: 2506.05847 · arxiv_version: 2506.05847v1 · doi: 10.48550/arxiv.2506.05847 · pith_short_12: 2YQYBG73XRVR · pith_short_16: 2YQYBG73XRVRTJTO · pith_short_8: 2YQYBG73

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/2YQYBG73XRVRTJTOANZCPXQWRJ \
  | 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: d621809bfbbc6b19a66e037227de168a4d14db953e6793541bd283e8fa108d50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "482d92f558bee737747f9b24c26422faaf63ae1a98111e9592c30250062eefc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-06-06T08:04:16Z",
    "title_canon_sha256": "e5adfa5965e76b264c21314e35d04b6c98de37f330750ddcf14c645e745cc53e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05847",
    "kind": "arxiv",
    "version": 1
  }
}