Pith Number

pith:P5JNZRTG

pith:2010:P5JNZRTGTMTLECEAZFKSS2RIL5

not attested not anchored not stored refs pending

Time delay in the Einstein-Straus solution

Kheir-Eddine Boudjemaa, Mourad Guenouche, Sami R. Zouzou

arxiv:1006.0080 v1 · 2010-06-01 · 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{P5JNZRTGTMTLECEAZFKSS2RIL5}

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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.

Cited by

1 paper in Pith

Gravitational lensing time delay beyond the Shapiro/geometry split

Receipt and verification

First computed	2026-05-18T04:22:48.770211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f52dcc6669b26b20880c955296a285f6a22339ea5fdc224d90361a649e62354

Aliases

arxiv: 1006.0080 · arxiv_version: 1006.0080v1 · doi: 10.48550/arxiv.1006.0080 · pith_short_12: P5JNZRTGTMTL · pith_short_16: P5JNZRTGTMTLECEA · pith_short_8: P5JNZRTG

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/P5JNZRTGTMTLECEAZFKSS2RIL5 \
  | 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: 7f52dcc6669b26b20880c955296a285f6a22339ea5fdc224d90361a649e62354

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8ff2d37cac3b0a23219323a38433e1a4a3e2cdb2029f3d15901b85f9287c10c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-06-01T08:31:04Z",
    "title_canon_sha256": "9b7277d9a7ad57387606ff73cebc4baf0230295fab7c3dd662639c8b6c12d46c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0080",
    "kind": "arxiv",
    "version": 1
  }
}