Pith Number

pith:T5CLJM7M

pith:2011:T5CLJM7MGHWO4Y4NFOUHJXXZDC

not attested not anchored not stored refs pending

Galaxy cluster number count data constraints on cosmological parameters

A. Marrone, Bharat Ratra, G. L. Fogli, L. Campanelli, T. Kahniashvili

arxiv:1110.2310 v2 · 2011-10-11 · 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{T5CLJM7MGHWO4Y4NFOUHJXXZDC}

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	2026-05-18T02:00:13.857010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f44b4b3ec31ecee638d2ba874def9188e71bfc410fd2e3767d616553e672e9a

Aliases

arxiv: 1110.2310 · arxiv_version: 1110.2310v2 · doi: 10.48550/arxiv.1110.2310 · pith_short_12: T5CLJM7MGHWO · pith_short_16: T5CLJM7MGHWO4Y4N · pith_short_8: T5CLJM7M

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/T5CLJM7MGHWO4Y4NFOUHJXXZDC \
  | 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: 9f44b4b3ec31ecee638d2ba874def9188e71bfc410fd2e3767d616553e672e9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52dc754b0a6aa05392027f9c8b16dcd0e0627fe050890d93083421b1fc172306",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-10-11T09:24:59Z",
    "title_canon_sha256": "37d77b57eea2e13f5ed45ad096c38e2468f6f7d76ae6356df919d7fca574c7f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2310",
    "kind": "arxiv",
    "version": 2
  }
}