Pith Number

pith:LOPZDPXZ

pith:2008:LOPZDPXZ2XZP5XX7DCJGVQJ35Q

not attested not anchored not stored refs pending

Hubble's Cosmology: From a Finite Expanding Universe to a Static Endless Universe

A.K.T. Assis (Institute of Physics `Gleb Wataghin' University of Campinas, Belo Horizonte, Brazil), D.S.L. Soares (Departamento de F\'isica, Funda\c{c}\~ao Universidade Estadual de Maring\'a, ICEx, M.C.D. Neves (Departamento de F\'isica, Universidade Federal de Minas Gerais

arxiv:0806.4481 v2 · 2008-06-27 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LOPZDPXZ2XZP5XX7DCJGVQJ35Q}

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	2026-05-18T04:18:24.568706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b9f91bef9d5f2fedeff18926ac13bec282e2dc47d5bd8f3d113ed8e04e99a50

Aliases

arxiv: 0806.4481 · arxiv_version: 0806.4481v2 · doi: 10.48550/arxiv.0806.4481 · pith_short_12: LOPZDPXZ2XZP · pith_short_16: LOPZDPXZ2XZP5XX7 · pith_short_8: LOPZDPXZ

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/LOPZDPXZ2XZP5XX7DCJGVQJ35Q \
  | 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: 5b9f91bef9d5f2fedeff18926ac13bec282e2dc47d5bd8f3d113ed8e04e99a50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94f6858a78d211847679b142cf8b1f4da59c80bf0a781d80231a860a8be23cab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-06-27T10:41:32Z",
    "title_canon_sha256": "2404114e11f3620ece7951995c2d0c435560d1a7fc764f287284eff0598abed7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.4481",
    "kind": "arxiv",
    "version": 2
  }
}