Pith Number

pith:7MUXV2Y7

pith:2021:7MUXV2Y7WWDXKSWUMWQZ2D4QPP

not attested not anchored not stored refs pending

A test of cosmic distance duality relation using SPT-SZ galaxy clusters, Type Ia supernovae, and cosmic chronometers

Kamal Bora, Shantanu Desai

arxiv:2104.00974 v2 · 2021-04-02 · 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{7MUXV2Y7WWDXKSWUMWQZ2D4QPP}

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.

Cited by

1 paper in Pith

A MINOT-based Study of Gamma-ray emission from SPT-CL J2012-5649/Abell 3667

Receipt and verification

First computed	2026-07-05T02:53:01.550819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb297aeb1fb587754ad465a19d0f907bd5150a37c7fa271a259895110be968d2

Aliases

arxiv: 2104.00974 · arxiv_version: 2104.00974v2 · doi: 10.48550/arxiv.2104.00974 · pith_short_12: 7MUXV2Y7WWDX · pith_short_16: 7MUXV2Y7WWDXKSWU · pith_short_8: 7MUXV2Y7

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/7MUXV2Y7WWDXKSWUMWQZ2D4QPP \
  | 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: fb297aeb1fb587754ad465a19d0f907bd5150a37c7fa271a259895110be968d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26dddfcbf87f2fa421e27c5d0f79035f9c494051c23bb0a1d7b9f0bfd440c78e",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-04-02T10:26:28Z",
    "title_canon_sha256": "4f9e69393a8e625393cffd2b631fa3b39097691466057520072fe2d0f8430fd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.00974",
    "kind": "arxiv",
    "version": 2
  }
}