Pith Number

pith:66UXPK5B

pith:2018:66UXPK5BV4CIR3PNIRBE5CS43P

not attested not anchored not stored refs pending

Note on the Kaiser-Peacock paper regarding gravitational lensing effects

George F R Ellis, Ruth Durrer

arxiv:1806.09530 v1 · 2018-06-25 · 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{66UXPK5BV4CIR3PNIRBE5CS43P}

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	2026-05-18T00:12:25.543729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7a977aba1af0488eded44424e8a5cdbe20c9f6868364d586a9f3fa1488fd262

Aliases

arxiv: 1806.09530 · arxiv_version: 1806.09530v1 · doi: 10.48550/arxiv.1806.09530 · pith_short_12: 66UXPK5BV4CI · pith_short_16: 66UXPK5BV4CIR3PN · pith_short_8: 66UXPK5B

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/66UXPK5BV4CIR3PNIRBE5CS43P \
  | 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: f7a977aba1af0488eded44424e8a5cdbe20c9f6868364d586a9f3fa1488fd262

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d37d561f1ad7daa897279ae24d93aa0bc3416d70ee4b19e53181a4fd010fecb5",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-06-25T15:37:05Z",
    "title_canon_sha256": "ed6fac9f1daa6448add2132c698c362aca2b97f5194f78667f35a53edcc4c1dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09530",
    "kind": "arxiv",
    "version": 1
  }
}