Pith Number

pith:MVQRKMXC

pith:2010:MVQRKMXCHEQG3MCKF2X6EBUQRU

not attested not anchored not stored refs pending

Cosmic Distance Duality Relation and the Shape of Galaxy Clusters

J. A. S. Lima, M. B. Ribeiro, R. F. L. Holanda

arxiv:1003.5906 v2 · 2010-03-30 · astro-ph.CO · gr-qc

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MVQRKMXCHEQG3MCKF2X6EBUQRU}

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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

Model-independent test of the cosmic distance duality relation with recent observational data

Receipt and verification

First computed	2026-05-18T02:24:25.996935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65611532e239206db04a2eafe206908d20ac7e00e1aacb7435cad18f9f1efedd

Aliases

arxiv: 1003.5906 · arxiv_version: 1003.5906v2 · doi: 10.48550/arxiv.1003.5906 · pith_short_12: MVQRKMXCHEQG · pith_short_16: MVQRKMXCHEQG3MCK · pith_short_8: MVQRKMXC

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/MVQRKMXCHEQG3MCKF2X6EBUQRU \
  | 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: 65611532e239206db04a2eafe206908d20ac7e00e1aacb7435cad18f9f1efedd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17f6b7930bc61ef4f92665daec2168a3344c69513f366ee26c642f50a0f72c4e",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-03-30T19:36:41Z",
    "title_canon_sha256": "0603ab7a57274e43abd24448ecaabc53a972705e12bf797dedfeeb856b8360cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5906",
    "kind": "arxiv",
    "version": 2
  }
}