Pith Number

pith:WGS3U7S6

pith:2002:WGS3U7S6RNYXDKENQO7RXUYJB7

not attested not anchored not stored refs pending

Fermat Potentials for Non-Perturbative Gravitational Lensing

Ezra T. Newman, Simonetta Frittelli, Thomas P. Kling

arxiv:gr-qc/0205014 v1 · 2002-05-03 · 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{WGS3U7S6RNYXDKENQO7RXUYJB7}

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

Leading-order gravitational time delay of massive particles by a moving Schwarzschild lens

Receipt and verification

First computed	2026-07-04T16:33:43.859758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1a5ba7e5e8b7171a88d83bf1bd3090fe93e2a83e7dd86a5f6ad2ed5ead7f46d

Aliases

arxiv: gr-qc/0205014 · arxiv_version: gr-qc/0205014v1 · doi: 10.48550/arxiv.gr-qc/0205014 · pith_short_12: WGS3U7S6RNYX · pith_short_16: WGS3U7S6RNYXDKEN · pith_short_8: WGS3U7S6

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/WGS3U7S6RNYXDKENQO7RXUYJB7 \
  | 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: b1a5ba7e5e8b7171a88d83bf1bd3090fe93e2a83e7dd86a5f6ad2ed5ead7f46d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ee9a6a1cbb7d9d11d534d0bf9ca64d81be3b17bc3f897550c1851bd930173dc",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-05-03T20:19:15Z",
    "title_canon_sha256": "20f7c02f48cd6a2776dd44983708f31d7b112761d8534d6516523616d35167da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0205014",
    "kind": "arxiv",
    "version": 1
  }
}