Pith Number

pith:2VGXLC25

pith:2026:2VGXLC25EO5HF6OO52XCNOWWZM

not attested not anchored not stored refs pending

Optimization of Tessellation-based Statistics: Void Statistics

Cheng Zhao, Jean-Paul Kneib, Yu Liu, Yu Yu, Zhejie Ding

arxiv:2606.21864 v1 · 2026-06-20 · astro-ph.CO · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2VGXLC25EO5HF6OO52XCNOWWZM}

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	2026-06-23T02:13:01.344245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d54d758b5d23ba72f9ceeeae26bad6cb0ceaf3c253fd02520c4d0a345725b24a

Aliases

arxiv: 2606.21864 · arxiv_version: 2606.21864v1 · doi: 10.48550/arxiv.2606.21864 · pith_short_12: 2VGXLC25EO5H · pith_short_16: 2VGXLC25EO5HF6OO · pith_short_8: 2VGXLC25

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/2VGXLC25EO5HF6OO52XCNOWWZM \
  | 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: d54d758b5d23ba72f9ceeeae26bad6cb0ceaf3c253fd02520c4d0a345725b24a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "027fafae397b6b2e4bd6a81e25e7498a14a2452d7c520052fb4ca67cf40caf2d",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-20T04:06:07Z",
    "title_canon_sha256": "3fbe65c75aa45d250b2fe5158678f0c874d3dfd2b35e869c4eb6352d4ce7ca0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21864",
    "kind": "arxiv",
    "version": 1
  }
}