Pith Number

pith:SBO4JVK7

pith:2025:SBO4JVK7PUHVZ3K6A6LIKIYAQE

not attested not anchored not stored refs pending

Constraining the Hubble parameter with the 21 cm brightness temperature signal in a universe with inhomogeneities

A. S. Majumdar, Shashank Shekhar Pandey, Subhadeep Mukherjee

arxiv:2505.22219 v2 · 2025-05-28 · 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{SBO4JVK7PUHVZ3K6A6LIKIYAQE}

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

Interpretation of the binned SNe Ia Master Sample data via a scalar quintessence component: phantom transition?

Receipt and verification

First computed	2026-07-05T11:59:15.003563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

905dc4d55f7d0f5ced5e07968523008139d255483c88a9c5746722bd6592a3ac

Aliases

arxiv: 2505.22219 · arxiv_version: 2505.22219v2 · doi: 10.48550/arxiv.2505.22219 · pith_short_12: SBO4JVK7PUHV · pith_short_16: SBO4JVK7PUHVZ3K6 · pith_short_8: SBO4JVK7

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/SBO4JVK7PUHVZ3K6A6LIKIYAQE \
  | 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: 905dc4d55f7d0f5ced5e07968523008139d255483c88a9c5746722bd6592a3ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c9b749c12f1279b5cbd35ba8abba48c4ee49c4d2ede299ed2cb6735bdef05a7",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-05-28T10:50:55Z",
    "title_canon_sha256": "a26008106416dac00dab1799f57829ae1cacffc492f9a98738af3f262a1b4b55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22219",
    "kind": "arxiv",
    "version": 2
  }
}