Pith Number

pith:7PPPTPZB

pith:2020:7PPPTPZB5FA46ZRDOG33U4SI7S

not attested not anchored not stored refs pending

Measurements of $H_0$ in modified gravity theories: The role of lensed quasars in the late-time Universe

Rafael C. Nunes, Rocco D'Agostino

arxiv:2002.06381 v2 · 2020-02-15 · astro-ph.CO · gr-qc · 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{7PPPTPZB5FA46ZRDOG33U4SI7S}

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

Distance duality relation in symmetric teleparallel gravity

Observational constraints on nonlocal black holes via gravitational lensing

Receipt and verification

First computed	2026-07-05T01:00:50.100723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbdef9bf21e941cf662371b7ba7248fca50ffa597b4af1855514b42c713fbf47

Aliases

arxiv: 2002.06381 · arxiv_version: 2002.06381v2 · doi: 10.48550/arxiv.2002.06381 · pith_short_12: 7PPPTPZB5FA4 · pith_short_16: 7PPPTPZB5FA46ZRD · pith_short_8: 7PPPTPZB

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/7PPPTPZB5FA46ZRDOG33U4SI7S \
  | 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: fbdef9bf21e941cf662371b7ba7248fca50ffa597b4af1855514b42c713fbf47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e014487bb9f074a7bd7885dc11b9e1084161c8078707044cd9f7fc71e7829d6",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-02-15T13:35:08Z",
    "title_canon_sha256": "da27f25e4c7a8ebba6e5464ea023ae8badc5f16c3baccdcc32e6d80d7b399ec3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.06381",
    "kind": "arxiv",
    "version": 2
  }
}