Pith Number

pith:NKNBUPEC

pith:2025:NKNBUPECN6QVDZYTMDWBZQAOBM

not attested not anchored not stored refs pending

Testing $f(T)$ Gravity with Cosmological Observations: Confronting the Hubble Tension and Implications for the Late-Time Universe

Anirudh Pradhan, Archana Dixit, M. S. Barak, Saurabh Verma

arxiv:2508.20107 v1 · 2025-08-13 · 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{NKNBUPECN6QVDZYTMDWBZQAOBM}

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	2026-07-05T12:00:29.523387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a9a1a3c826fa151e71360ec1cc00e0b37042a86c412f32a58ebab41b753ff70

Aliases

arxiv: 2508.20107 · arxiv_version: 2508.20107v1 · doi: 10.48550/arxiv.2508.20107 · pith_short_12: NKNBUPECN6QV · pith_short_16: NKNBUPECN6QVDZYT · pith_short_8: NKNBUPEC

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/NKNBUPECN6QVDZYTMDWBZQAOBM \
  | 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: 6a9a1a3c826fa151e71360ec1cc00e0b37042a86c412f32a58ebab41b753ff70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d1d3d6ad37a8b38dd5e5568b62c3dfed89146aa68aba9c83e1198717f240332",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-08-13T10:37:56Z",
    "title_canon_sha256": "1e36ae991f60670ff8350cf48c308e577d4104a49f3e64ae9887ca4b3266ace8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20107",
    "kind": "arxiv",
    "version": 1
  }
}