Pith Number

pith:3P2PPFMC

pith:2019:3P2PPFMCXK3YTKK4LHDCIIAWAT

not attested not anchored not stored refs pending

Testing the $R_{\rm h}=ct$ Universe Jointly with the Redshift-dependent Expansion rate and Angular-diameter and Luminosity Distances

Fulvio Melia, Hao-Yi Wan, Shu-Lei Cao, Tong-Jie Zhang

arxiv:1910.14024 v1 · 2019-10-30 · 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{3P2PPFMCXK3YTKK4LHDCIIAWAT}

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	2026-07-05T00:16:06.985984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbf4f79582bab789a95c59c624201604d778b794908de68db6b65af719c0138e

Aliases

arxiv: 1910.14024 · arxiv_version: 1910.14024v1 · doi: 10.48550/arxiv.1910.14024 · pith_short_12: 3P2PPFMCXK3Y · pith_short_16: 3P2PPFMCXK3YTKK4 · pith_short_8: 3P2PPFMC

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/3P2PPFMCXK3YTKK4LHDCIIAWAT \
  | 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: dbf4f79582bab789a95c59c624201604d778b794908de68db6b65af719c0138e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "920fafd52f56db583975c4b9339fcc2a2489a40ad57f8896e5a0fa7d5a9f30d8",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-10-30T02:44:57Z",
    "title_canon_sha256": "f8ddb36d13e215c7ea07bdac0da202345799738786525fdff300a61517bcae9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.14024",
    "kind": "arxiv",
    "version": 1
  }
}