Pith Number

pith:T4LINDO4

pith:2000:T4LINDO4ENLGVIY2TGSE6NADW7

not attested not anchored not stored refs pending

Comparative Studies of Lensing Methods

Alejandro Perez, Ezra T. Newman, Thomas P. Kling

arxiv:gr-qc/0003057 v3 · 2000-03-14 · 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{T4LINDO4ENLGVIY2TGSE6NADW7}

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	2026-05-18T02:37:36.518141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f16868ddc23566aa31a99a44f3403b7c2d1600d9286dd2a31dee52da1f35daa

Aliases

arxiv: gr-qc/0003057 · arxiv_version: gr-qc/0003057v3 · doi: 10.48550/arxiv.gr-qc/0003057 · pith_short_12: T4LINDO4ENLG · pith_short_16: T4LINDO4ENLGVIY2 · pith_short_8: T4LINDO4

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/T4LINDO4ENLGVIY2TGSE6NADW7 \
  | 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: 9f16868ddc23566aa31a99a44f3403b7c2d1600d9286dd2a31dee52da1f35daa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "631adc91bad6a62cd27205186ac29d0a4ca00824627c9b391670326337f6095e",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-03-14T19:06:59Z",
    "title_canon_sha256": "b0f95543679dbc309452c5e7dfdd35910726c89a3f5655416fb770961718b39a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0003057",
    "kind": "arxiv",
    "version": 3
  }
}