Pith Number

pith:2IZXIPDE

pith:2011:2IZXIPDEJ5D6GKEW3GLYQBJOUE

not attested not anchored not stored refs pending

The role of Dark Matter interaction in galaxy clusters

Andrea Coelho, Andr\'e A. Costa, C. E. Pellicer, Daniel C. Guariento, Elcio Abdalla, Elisa G. M. Ferreira, Leila L. Graef

arxiv:1102.5113 v3 · 2011-02-24 · 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{2IZXIPDEJ5D6GKEW3GLYQBJOUE}

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	2026-05-18T03:48:48.239168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d233743c644f47e32896d99788052ea128239acc096fc0aa56a4fc39905afacc

Aliases

arxiv: 1102.5113 · arxiv_version: 1102.5113v3 · doi: 10.48550/arxiv.1102.5113 · pith_short_12: 2IZXIPDEJ5D6 · pith_short_16: 2IZXIPDEJ5D6GKEW · pith_short_8: 2IZXIPDE

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/2IZXIPDEJ5D6GKEW3GLYQBJOUE \
  | 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: d233743c644f47e32896d99788052ea128239acc096fc0aa56a4fc39905afacc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99e22790aee825f775c6579f564b323883e80cb811c9f5de0cc785a884ad6e11",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-02-24T21:57:38Z",
    "title_canon_sha256": "bbb98b249c24778f2225e633e7e3d26b9084d53abf9b9bcf8e01d41a06181b7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5113",
    "kind": "arxiv",
    "version": 3
  }
}