Pith Number

pith:WM7KWL5H

pith:2010:WM7KWL5HVI5N262FKVDXIBW2C7

not attested not anchored not stored refs pending

Are Galaxy Clusters Suggesting an Accelerating Universe?

J. A. S. Lima, J. V. Cunha, R. F. L. Holanda

arxiv:1009.2736 v1 · 2010-09-14 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WM7KWL5HVI5N262FKVDXIBW2C7}

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	2026-05-18T04:26:55.576206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b33eab2fa7aa3add7b4555477406da17c9342596560ba1b410c8910e0fcf7110

Aliases

arxiv: 1009.2736 · arxiv_version: 1009.2736v1 · doi: 10.48550/arxiv.1009.2736 · pith_short_12: WM7KWL5HVI5N · pith_short_16: WM7KWL5HVI5N262F · pith_short_8: WM7KWL5H

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/WM7KWL5HVI5N262FKVDXIBW2C7 \
  | 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: b33eab2fa7aa3add7b4555477406da17c9342596560ba1b410c8910e0fcf7110

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c4a0664bfbbe980990e81372e53a71366fc19cff030482641cc9c406b23f54e",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-09-14T19:22:56Z",
    "title_canon_sha256": "e720d7d390fe9fbd36f78794f9498e81fb39918febc90fa1d198d650f349262d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2736",
    "kind": "arxiv",
    "version": 1
  }
}