Pith Number

pith:OZERV4AH

pith:2013:OZERV4AHR5MFEE54IHOORUDSFJ

not attested not anchored not stored refs pending

Constraints on the general solutions of Einstein cosmological equations by Hubble parameter times cosmic age: a historical perspective

Julio A. Gonzalo, Manuel Alfonseca

arxiv:1306.0238 v1 · 2013-06-02 · physics.gen-ph · 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{OZERV4AHR5MFEE54IHOORUDSFJ}

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	2026-05-18T03:21:55.723395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76491af0078f585213bc41dce8d0722a52a9729c7468c40ddd3872b8ba38a334

Aliases

arxiv: 1306.0238 · arxiv_version: 1306.0238v1 · doi: 10.48550/arxiv.1306.0238 · pith_short_12: OZERV4AHR5MF · pith_short_16: OZERV4AHR5MFEE54 · pith_short_8: OZERV4AH

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/OZERV4AHR5MFEE54IHOORUDSFJ \
  | 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: 76491af0078f585213bc41dce8d0722a52a9729c7468c40ddd3872b8ba38a334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef497fa88c0868b5e19c8668418b68ae7eeb5761bc3c8bf92e49c1229943c3ed",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2013-06-02T18:39:01Z",
    "title_canon_sha256": "83ab04ad1909a610421e2e45415075232dfdb6e4d180881a9ff46a1e8061c158"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0238",
    "kind": "arxiv",
    "version": 1
  }
}