Pith Number

pith:IZAZPPRP

pith:2018:IZAZPPRPEVZHAOT4UR5TG3LV2M

not attested not anchored not stored refs pending

Fractal universe and cosmic acceleration in a Lema\^itre-Tolman-Bondi scenario

Francesco Sylos Labini, Giuseppe Fanizza, Leonardo Cosmai, Luciano Pietronero, Luigi Tedesco

arxiv:1810.06318 v1 · 2018-10-15 · 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{IZAZPPRPEVZHAOT4UR5TG3LV2M}

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	2026-05-17T23:55:19.463293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

464197be2f2572703a7ca47b336d75d301f95f499248b0308d47ebad18900f26

Aliases

arxiv: 1810.06318 · arxiv_version: 1810.06318v1 · doi: 10.48550/arxiv.1810.06318 · pith_short_12: IZAZPPRPEVZH · pith_short_16: IZAZPPRPEVZHAOT4 · pith_short_8: IZAZPPRP

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/IZAZPPRPEVZHAOT4UR5TG3LV2M \
  | 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: 464197be2f2572703a7ca47b336d75d301f95f499248b0308d47ebad18900f26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67df44059de41f274d39b8ed43d99ebead22e20111772349d9b9a9cba394453e",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2018-10-15T12:51:00Z",
    "title_canon_sha256": "92922b9ea75973e324571866f3b029e618dacc8208d30b28b306d73692deb6dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06318",
    "kind": "arxiv",
    "version": 1
  }
}