Pith Number

pith:UX5XCEXB

pith:2020:UX5XCEXBMIN4NZSHZXMABA5JJJ

not attested not anchored not stored refs pending

Can $f(R)$ gravity relieve $H_0$ and $\sigma_8$ tensions?

Deng Wang

arxiv:2008.03966 v2 · 2020-08-10 · 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{UX5XCEXBMIN4NZSHZXMABA5JJJ}

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

2 papers in Pith

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

Probing cosmic anisotropy with galaxy clusters and supernovae

Receipt and verification

First computed	2026-07-05T02:49:12.009057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5fb7112e1621bc6e647cdd80083a94a75c08436291ee9478568a92e26ac854e

Aliases

arxiv: 2008.03966 · arxiv_version: 2008.03966v2 · doi: 10.48550/arxiv.2008.03966 · pith_short_12: UX5XCEXBMIN4 · pith_short_16: UX5XCEXBMIN4NZSH · pith_short_8: UX5XCEXB

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/UX5XCEXBMIN4NZSHZXMABA5JJJ \
  | 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: a5fb7112e1621bc6e647cdd80083a94a75c08436291ee9478568a92e26ac854e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1b8b3cd5c814aa6055976db91b9b4a9b2f363ff1c71b9e3160696476e131288",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-08-10T08:53:32Z",
    "title_canon_sha256": "339ff2aa6bbe09b3f9a73c3b792e361ec4a424193907a318e4b8e262b3573355"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.03966",
    "kind": "arxiv",
    "version": 2
  }
}