Pith Number

pith:SMA324GD

pith:2016:SMA324GD2GSO7QC2GPER5CTHVO

not attested not anchored not stored refs pending

Lambda does not Lens: Deflection of Light in the Schwarzschild-de Sitter Spacetime

Luke M. Butcher

arxiv:1602.02751 v2 · 2016-02-08 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SMA324GD2GSO7QC2GPER5CTHVO}

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.

Cited by

1 paper in Pith

Gravitational lensing time delay beyond the Shapiro/geometry split

Receipt and verification

First computed	2026-05-18T01:00:39.749350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9301bd70c3d1a4efc05a33c91e8a67ab88600d52ab56c91b1f0870fb859a89e8

Aliases

arxiv: 1602.02751 · arxiv_version: 1602.02751v2 · doi: 10.48550/arxiv.1602.02751 · pith_short_12: SMA324GD2GSO · pith_short_16: SMA324GD2GSO7QC2 · pith_short_8: SMA324GD

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/SMA324GD2GSO7QC2GPER5CTHVO \
  | 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: 9301bd70c3d1a4efc05a33c91e8a67ab88600d52ab56c91b1f0870fb859a89e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "316adf2b9f8a960ad23104f32a2204fb2166f824cb6574f4afce67eab4fe9b82",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-02-08T21:00:00Z",
    "title_canon_sha256": "aa9def8b6eda053c5153b6c82cc995ffe3343b3540bd039017be039818c7a547"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02751",
    "kind": "arxiv",
    "version": 2
  }
}