Pith Number

pith:RZP24ECX

pith:2016:RZP24ECX7NVVX4RSX3QV7LBDAK

not attested not anchored not stored refs pending

Dark matter distribution in X-ray luminous galaxy clusters with Emergent Gravity

D. Eckert, E. Pointecouteau, F. Dubath, S. Ettori, V. Ghirardini

arxiv:1612.07288 v2 · 2016-12-21 · 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{RZP24ECX7NVVX4RSX3QV7LBDAK}

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	2026-05-18T00:41:25.421476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e5fae1057fb6b5bf232bee15fac2302b64d8b89eec4554b557a0ffead3143bf

Aliases

arxiv: 1612.07288 · arxiv_version: 1612.07288v2 · doi: 10.48550/arxiv.1612.07288 · pith_short_12: RZP24ECX7NVV · pith_short_16: RZP24ECX7NVVX4RS · pith_short_8: RZP24ECX

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/RZP24ECX7NVVX4RSX3QV7LBDAK \
  | 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: 8e5fae1057fb6b5bf232bee15fac2302b64d8b89eec4554b557a0ffead3143bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "100a162f799f088a84831bca2808fabe5cf9b95e9ea4cb27d886bede6f35a6e5",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-12-21T19:40:21Z",
    "title_canon_sha256": "9725b59bbe68c5e788916f07d2223e2bb7419d01b16fa97887de8724d1d7dabb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07288",
    "kind": "arxiv",
    "version": 2
  }
}