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Pith Number

pith:OW2XB6AI

pith:2015:OW2XB6AI7H65UMEXNFRJFJBGTZ
not attested not anchored not stored refs pending

K-mouflage effects on clusters of galaxies

Luca Alberto Rizzo, Patrick Valageas, Philippe Brax

arxiv:1505.05671 v2 · 2015-05-21 · astro-ph.CO · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OW2XB6AI7H65UMEXNFRJFJBGTZ}

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 2026-05-18T01:12:38.074234Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

75b570f808f9fdda3097696292a4269e6caa0aa01ac28513d1dca3696683538d

Aliases

arxiv: 1505.05671 · arxiv_version: 1505.05671v2 · doi: 10.48550/arxiv.1505.05671 · pith_short_12: OW2XB6AI7H65 · pith_short_16: OW2XB6AI7H65UMEX · pith_short_8: OW2XB6AI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OW2XB6AI7H65UMEXNFRJFJBGTZ \
  | 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: 75b570f808f9fdda3097696292a4269e6caa0aa01ac28513d1dca3696683538d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b4edb904bbd639e3622b4c7b38f1c0888f1d747d1a31ca0ceb418d1ce148ed40",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-05-21T10:47:42Z",
    "title_canon_sha256": "356b385735f7a2f6e45630c42138486c80fa58a69a2e95e2a27a8542e7be5789"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05671",
    "kind": "arxiv",
    "version": 2
  }
}