Pith Number

pith:VNN4PSH6

pith:2002:VNN4PSH62YKR6VY442TXZF52HD

not attested not anchored not stored refs pending

A Fortran Code for Null Geodesic Solutions in the Lemaitre-Tolman-Bondi Spacetime

2) ((1) Vatican Observatory Group, (2) Physics Institute, Marcelo B. Ribeiro (1, Rio de Janeiro), Steward Observatory, University of Arizona, University of Brazil - UFRJ

arxiv:gr-qc/0205095 v1 · 2002-05-22 · gr-qc · 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{VNN4PSH62YKR6VY442TXZF52HD}

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	2026-05-18T01:39:23.674610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab5bc7c8fed6151f571ce6a77c97ba38fd0141776b3cdc9412ed23345e2bce1f

Aliases

arxiv: gr-qc/0205095 · arxiv_version: gr-qc/0205095v1 · doi: 10.48550/arxiv.gr-qc/0205095 · pith_short_12: VNN4PSH62YKR · pith_short_16: VNN4PSH62YKR6VY4 · pith_short_8: VNN4PSH6

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/VNN4PSH62YKR6VY442TXZF52HD \
  | 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: ab5bc7c8fed6151f571ce6a77c97ba38fd0141776b3cdc9412ed23345e2bce1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8496ad4bc02232f5a8f915c1a3d56e9f3d4902767394bcc453a67c23f4f03f23",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-05-22T06:42:31Z",
    "title_canon_sha256": "d224af8f2cadc68d28ff2afd8d6153ab35e8372c726b4b8a4d7e277f558eb296"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0205095",
    "kind": "arxiv",
    "version": 1
  }
}