Pith Number

pith:W72SV6HC

pith:2026:W72SV6HC6VKIYV42Y3GNQG6SXG

not attested not anchored not stored refs pending

A Review on Resolving the Hubble Tension via Late-Universe Physics

Fa-Yin Wang, Xin-Yi Dai, Xuan-Dong Jia, Yu-Peng Yang

arxiv:2606.12980 v1 · 2026-06-11 · 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{W72SV6HC6VKIYV42Y3GNQG6SXG}

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	2026-06-12T01:09:36.012564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7f52af8e2f5548c579ac6ccd81bd2b9a1c2ee3237446a541df235f416ddbe9c

Aliases

arxiv: 2606.12980 · arxiv_version: 2606.12980v1 · doi: 10.48550/arxiv.2606.12980 · pith_short_12: W72SV6HC6VKI · pith_short_16: W72SV6HC6VKIYV42 · pith_short_8: W72SV6HC

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/W72SV6HC6VKIYV42Y3GNQG6SXG \
  | 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: b7f52af8e2f5548c579ac6ccd81bd2b9a1c2ee3237446a541df235f416ddbe9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b743627b9561a2fb2ce96b8a953aa12f7ad2ba5fc2447abfe8844b8d601b3e93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-11T07:13:34Z",
    "title_canon_sha256": "6d5b59577fdece1d794aef95a6edfd1e37b93c1920de6d753fc89f1d544a14d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12980",
    "kind": "arxiv",
    "version": 1
  }
}