Pith Number

pith:PMMGJZWE

pith:2024:PMMGJZWECLYCO2YLHAWZG66G2U

not attested not anchored not stored refs pending

Mass Modeling and Kinematics of Galaxy Clusters in Modified Gravity

Alexandre M. Pombo, Andrea Lapi, Carlo Baccigalupi, Francesco Benetti, Lorenzo Pizzuti, Minahil Adil Butt, Sandeep Haridasu, Sofia Dossena, Yacer Boumechta

arxiv:2407.08778 v2 · 2024-07-11 · 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{PMMGJZWECLYCO2YLHAWZG66G2U}

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.

Cited by

1 paper in Pith

CLASH-VLT: The Fifth Force in Chameleon Gravity from Joint Lensing and Kinematics Cluster Mass Profiles

Receipt and verification

First computed	2026-07-05T09:35:50.394200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b1864e6c412f0276b0b382d937bc6d50299403124ebf6803ebbfa4430ec6287

Aliases

arxiv: 2407.08778 · arxiv_version: 2407.08778v2 · doi: 10.48550/arxiv.2407.08778 · pith_short_12: PMMGJZWECLYC · pith_short_16: PMMGJZWECLYCO2YL · pith_short_8: PMMGJZWE

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/PMMGJZWECLYCO2YLHAWZG66G2U \
  | 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: 7b1864e6c412f0276b0b382d937bc6d50299403124ebf6803ebbfa4430ec6287

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "802baa0c882bc31e27244fc27d7acbbb9347c5da641b7d88e410ef45c6c6a3ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2024-07-11T18:00:02Z",
    "title_canon_sha256": "68d18fdf66b8ffea0d95588a002b3c3d244ce0f9f21848420504e257de43eb0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.08778",
    "kind": "arxiv",
    "version": 2
  }
}