Pith Number

pith:CL3IXV4N

pith:2019:CL3IXV4N7WOWSFPF7I46OLDNAQ

not attested not anchored not stored refs pending

A general framework to test gravity using galaxy clusters II: A universal model for the halo concentration in $f(R)$ gravity

1), (2) Nanjing University), Baojiu Li (1) ((1) ICC, Christian Arnold (1), Durham University, Jian-hua He (2, Myles A. Mitchell (1)

arxiv:1901.06392 v2 · 2019-01-18 · 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{CL3IXV4N7WOWSFPF7I46OLDNAQ}

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	2026-05-17T23:44:29.579297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12f68bd78dfd9d6915e5fa39e72c6d042663dc19d8edcd50db1b2ceac6fe8526

Aliases

arxiv: 1901.06392 · arxiv_version: 1901.06392v2 · doi: 10.48550/arxiv.1901.06392 · pith_short_12: CL3IXV4N7WOW · pith_short_16: CL3IXV4N7WOWSFPF · pith_short_8: CL3IXV4N

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/CL3IXV4N7WOWSFPF7I46OLDNAQ \
  | 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: 12f68bd78dfd9d6915e5fa39e72c6d042663dc19d8edcd50db1b2ceac6fe8526

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e191a6dae3350dec1dca6650c93a6857e7ea0814f8fc7726a5e4b49a0185e24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-01-18T19:00:04Z",
    "title_canon_sha256": "c3e9f4cd3949503ab920d6d8cb884c881e13e53db97e438c4f66df446603f73d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.06392",
    "kind": "arxiv",
    "version": 2
  }
}