Pith Number

pith:IL6A572R

pith:2017:IL6A572RTLGZQGQT4XGROLD5F3

not attested not anchored not stored refs pending

Mass function of galaxy clusters in relativistic inhomogeneous cosmology

Boudewijn F. Roukema, Jan J. Ostrowski, Thomas Buchert

arxiv:1703.04189 v1 · 2017-03-12 · 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{IL6A572RTLGZQGQT4XGROLD5F3}

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	2026-05-18T00:31:41.498792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42fc0eff519acd981a13e5cd172c7d2eee26e82f5f2bcca524d20a8c9f57b4a3

Aliases

arxiv: 1703.04189 · arxiv_version: 1703.04189v1 · doi: 10.48550/arxiv.1703.04189 · pith_short_12: IL6A572RTLGZ · pith_short_16: IL6A572RTLGZQGQT · pith_short_8: IL6A572R

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/IL6A572RTLGZQGQT4XGROLD5F3 \
  | 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: 42fc0eff519acd981a13e5cd172c7d2eee26e82f5f2bcca524d20a8c9f57b4a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb0c68d5498f1ffa66fc701327dfa72cf92066b31c4e52a694ee69284aab62f9",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2017-03-12T22:29:30Z",
    "title_canon_sha256": "f7066af8cb8e38dd837bd8cf7fbcb0b6a36d311226e24c097aaac9b9baafea78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.04189",
    "kind": "arxiv",
    "version": 1
  }
}