Pith Number

pith:ZNAT4DNX

pith:1999:ZNAT4DNXVUJLMT7Y7TFOWGESB4

not attested not anchored not stored refs pending

Closed and open FRW cosmologies with matter creation: Kinematic tests

Brazil), J. A. S. Lima (Universidade Federal do Rio Grande do Norte, J. S. Alcaniz, Natal, RN

arxiv:astro-ph/9906410 v1 · 1999-06-25 · 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{ZNAT4DNXVUJLMT7Y7TFOWGESB4}

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	2026-05-18T04:21:32.180983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb413e0db7ad12b64ff8fccaeb18920f0bca8abd445795d944e62bdc4a7af6bf

Aliases

arxiv: astro-ph/9906410 · arxiv_version: astro-ph/9906410v1 · doi: 10.48550/arxiv.astro-ph/9906410 · pith_short_12: ZNAT4DNXVUJL · pith_short_16: ZNAT4DNXVUJLMT7Y · pith_short_8: ZNAT4DNX

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/ZNAT4DNXVUJLMT7Y7TFOWGESB4 \
  | 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: cb413e0db7ad12b64ff8fccaeb18920f0bca8abd445795d944e62bdc4a7af6bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f48053676a6d33b14ea7f1a5005f8b61c2b81244bc61e1efa3c5a1bdb59a94b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-06-25T13:25:47Z",
    "title_canon_sha256": "9e2170abdccc1508bca6bed7bb1cfa43dc3dbd12897d83bcfac9a4e6ad8e64d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9906410",
    "kind": "arxiv",
    "version": 1
  }
}