Pith Number

pith:5AMSL6KH

pith:2026:5AMSL6KHHOLY2D2SOFYFF5QYP5

not attested not anchored not stored refs pending

Early- and Late-Time Modifications to $\Lambda$CDM: Implications for the Hubble Tension

Anjan A Sen, Arindam Chatterjee, Purba Mukherjee, Rahul Dhyani

arxiv:2605.26050 v1 · 2026-05-25 · astro-ph.CO · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5AMSL6KHHOLY2D2SOFYFF5QYP5}

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	2026-05-26T02:05:24.969664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e81925f9473b978d0f52717052f6187f52fa0965b6418a6c177f0b65f84bf826

Aliases

arxiv: 2605.26050 · arxiv_version: 2605.26050v1 · doi: 10.48550/arxiv.2605.26050 · pith_short_12: 5AMSL6KHHOLY · pith_short_16: 5AMSL6KHHOLY2D2S · pith_short_8: 5AMSL6KH

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/5AMSL6KHHOLY2D2SOFYFF5QYP5 \
  | 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: e81925f9473b978d0f52717052f6187f52fa0965b6418a6c177f0b65f84bf826

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9e03c8aff3e08a041514bbfd6efd61786623eac795c50a5f3a2004151712139",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-05-25T17:12:16Z",
    "title_canon_sha256": "f21af9ccc40d4df7883a5a796794d9baf50f50550e8e6f44f0bdab0ac69582dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26050",
    "kind": "arxiv",
    "version": 1
  }
}