Pith Number

pith:PNIIDDH3

pith:2011:PNIIDDH3MVXEGNRX62TTXFH4LS

not attested not anchored not stored refs pending

Observational Cosmology And The Cosmic Distance Duality Relation

Deepak Jain, Remya Nair, Sanjay Jhingan

arxiv:1102.1065 v2 · 2011-02-05 · astro-ph.CO · gr-qc

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNIIDDH3MVXEGNRX62TTXFH4LS}

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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	2026-05-18T02:03:16.381255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b50818cfb656e433637f6a73b94fc5c9f4653f94184b5b9047b71d038cb385b

Aliases

arxiv: 1102.1065 · arxiv_version: 1102.1065v2 · doi: 10.48550/arxiv.1102.1065 · pith_short_12: PNIIDDH3MVXE · pith_short_16: PNIIDDH3MVXEGNRX · pith_short_8: PNIIDDH3

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/PNIIDDH3MVXEGNRX62TTXFH4LS \
  | 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: 7b50818cfb656e433637f6a73b94fc5c9f4653f94184b5b9047b71d038cb385b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9a856a31aa6d5db931409277742ff56e1d317486db0c145fc44002f4196fc4c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-02-05T11:55:48Z",
    "title_canon_sha256": "c5933db5d2409ee3d764f29fc04dc0a266b8638f53a035569cbdfc0bc6c5076c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1065",
    "kind": "arxiv",
    "version": 2
  }
}