Pith Number

pith:U42CVCZA

pith:2018:U42CVCZAXJDZ5T3D5PRQ5Q5ZO4

not attested not anchored not stored refs pending

A general framework to test gravity using galaxy clusters I: Modelling the dynamical mass of haloes in $ f(R) $ gravity

Baojiu Li (1) ((1) Institute for Computational Cosmology, Christian Arnold (1), Durham University, Jian-hua He (1), Myles A. Mitchell (1), UK)

arxiv:1802.02165 v1 · 2018-02-06 · 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{U42CVCZAXJDZ5T3D5PRQ5Q5ZO4}

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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	2026-05-18T00:16:21.234077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7342a8b20ba479ecf63ebe30ec3b97721d3ba3ae67a799b8e3cf54ee1d97cc8

Aliases

arxiv: 1802.02165 · arxiv_version: 1802.02165v1 · doi: 10.48550/arxiv.1802.02165 · pith_short_12: U42CVCZAXJDZ · pith_short_16: U42CVCZAXJDZ5T3D · pith_short_8: U42CVCZA

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/U42CVCZAXJDZ5T3D5PRQ5Q5ZO4 \
  | 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: a7342a8b20ba479ecf63ebe30ec3b97721d3ba3ae67a799b8e3cf54ee1d97cc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79a6c42e07a7c480420e5dc697476c8ba4c8311eea2854249261cf47105c3c5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2018-02-06T19:00:16Z",
    "title_canon_sha256": "a19528f01d2e852fae50e70afa4c9ffe8c0f11df676dfe8e7c509d9c30f76834"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.02165",
    "kind": "arxiv",
    "version": 1
  }
}