Pith Number

pith:65LYAWNJ

pith:2024:65LYAWNJS436H6HTUMJ5A2ELWQ

not attested not anchored not stored refs pending

Nonminimally coupled Dark Matter in Clusters of Galaxies: a fully comprehensive analysis

Dario Bettoni, Saboura Zamani, Vincenzo Salzano

arxiv:2412.19569 v1 · 2024-12-27 · astro-ph.CO · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{65LYAWNJS436H6HTUMJ5A2ELWQ}

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	2026-07-05T09:54:38.041250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7578059a99737e3f8f3a313d0688bb41a88a6fa0f4b003775e9159a3f375e50

Aliases

arxiv: 2412.19569 · arxiv_version: 2412.19569v1 · doi: 10.48550/arxiv.2412.19569 · pith_short_12: 65LYAWNJS436 · pith_short_16: 65LYAWNJS436H6HT · pith_short_8: 65LYAWNJ

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/65LYAWNJS436H6HTUMJ5A2ELWQ \
  | 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: f7578059a99737e3f8f3a313d0688bb41a88a6fa0f4b003775e9159a3f375e50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c0d81f7318b3718fb383505d5e73dfc34ee64edba87fabffc3a9949e76f824c",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2024-12-27T10:12:29Z",
    "title_canon_sha256": "fe7da96245402592ab3d1e3a6726e5d7d795456ae6c80ee52dd128e065213fc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19569",
    "kind": "arxiv",
    "version": 1
  }
}