Pith Number

pith:XPOUWTPK

pith:2021:XPOUWTPKOEKBGP5JITN2TEMFJ3

not attested not anchored not stored refs pending

No-go guide for the Hubble tension : Late-time solutions

Rong-Gen Cai, Shao-Jiang Wang, Wang-Wei Yu, Yong Zhou, Zong-Kuan Guo

arxiv:2107.13286 v4 · 2021-07-28 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPOUWTPKOEKBGP5JITN2TEMFJ3}

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

9 papers in Pith

The Hubble tension: A decade review

Geometric obstruction to resolving the Hubble tension: orthogonality of scale and shape in distance measurements

Unifying Early and Late Dark Energy: Dynamical Requirements and Obstructions

Running into tension: primordial black holes from ultra-slow-roll inflation, spectral running, and the Hubble tension

Redshift evolution of the Hubble constant: Constraints and new insights from an interacting dark energy model

Receipt and verification

First computed	2026-07-05T03:46:21.118156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbdd4b4dea7114133fa944dba991854ec12ad05299ebbbb1554931b32ee47dc2

Aliases

arxiv: 2107.13286 · arxiv_version: 2107.13286v4 · doi: 10.48550/arxiv.2107.13286 · pith_short_12: XPOUWTPKOEKB · pith_short_16: XPOUWTPKOEKBGP5J · pith_short_8: XPOUWTPK

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/XPOUWTPKOEKBGP5JITN2TEMFJ3 \
  | 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: bbdd4b4dea7114133fa944dba991854ec12ad05299ebbbb1554931b32ee47dc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "777f3fb88407460e376218abc55337df5abc2bfdad96d9a12d08c6c31b4e40ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-07-28T11:32:01Z",
    "title_canon_sha256": "f62609229158f393e99f38f1347fabd82fbab06456a2962ef6040784c03adedc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.13286",
    "kind": "arxiv",
    "version": 4
  }
}