Pith Number

pith:JFFQ6PNS

pith:2026:JFFQ6PNSVYVAQ2P2APQKZEUBZC

not attested not anchored not stored refs pending

The Hubble tension: A decade review

Rong-Gen Cai, Shao-Jiang Wang

arxiv:2606.20434 v1 · 2026-06-18 · 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{JFFQ6PNSVYVAQ2P2APQKZEUBZC}

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	2026-06-19T16:13:12.326139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

494b0f3db2ae2a0869fa03e0ac9281c88f1025325db6e6f93747b2ed14f42d32

Aliases

arxiv: 2606.20434 · arxiv_version: 2606.20434v1 · doi: 10.48550/arxiv.2606.20434 · pith_short_12: JFFQ6PNSVYVA · pith_short_16: JFFQ6PNSVYVAQ2P2 · pith_short_8: JFFQ6PNS

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/JFFQ6PNSVYVAQ2P2APQKZEUBZC \
  | 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: 494b0f3db2ae2a0869fa03e0ac9281c88f1025325db6e6f93747b2ed14f42d32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02f9b1633f2eb554eca4e34ded8a41dacc25522d99996754fe831b2ba6f157d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-18T16:12:11Z",
    "title_canon_sha256": "6b6d5ead0795df3b46d48efe6956b87cd09f73d8ec436ee51f60a603657ba0d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20434",
    "kind": "arxiv",
    "version": 1
  }
}