Pith Number

pith:GRG7IF6I

pith:2005:GRG7IF6IFPP5AG5SXL7HRHSZNG

not attested not anchored not stored refs pending

Cluster number counts dependence on dark energy inhomogeneities and coupling to dark matter

D. F. Mota, M. Manera

arxiv:astro-ph/0504519 v4 · 2005-04-23 · 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{GRG7IF6IFPP5AG5SXL7HRHSZNG}

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	2026-07-04T15:17:25.858285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

344df417c82bdfd01bb2bafe789e59698df1c8721c30313ca0a7e4f5f3c5bfc7

Aliases

arxiv: astro-ph/0504519 · arxiv_version: astro-ph/0504519v4 · doi: 10.48550/arxiv.astro-ph/0504519 · pith_short_12: GRG7IF6IFPP5 · pith_short_16: GRG7IF6IFPP5AG5S · pith_short_8: GRG7IF6I

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/GRG7IF6IFPP5AG5SXL7HRHSZNG \
  | 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: 344df417c82bdfd01bb2bafe789e59698df1c8721c30313ca0a7e4f5f3c5bfc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7b8f71cd98105bc82c7f415c8b1a9e6a9153e007f37c219a1d17fbce698d499",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-04-23T12:34:15Z",
    "title_canon_sha256": "7f8347906ac51c0bac0089091c733dd2bbb892c6e6067930c0e28f7521596146"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0504519",
    "kind": "arxiv",
    "version": 4
  }
}