Pith Number

pith:FW6H6WXJ

pith:2004:FW6H6WXJSB4MBD5T2D44OWA52E

not attested not anchored not stored refs pending

Einstein's gravitational lensing and nonlinear electrodynamics

Herman J. Mosquera Cuesta, Jose' A. de Freitas Pacheco, Jose' M. Salim

arxiv:astro-ph/0408152 v2 · 2004-08-09 · astro-ph · gr-qc · hep-ph · physics.class-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{FW6H6WXJSB4MBD5T2D44OWA52E}

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	2026-05-18T04:37:01.657451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dbc7f5ae99078c08fb3d0f9c7581dd11581260de2fb90912c54c5a4f7aed963

Aliases

arxiv: astro-ph/0408152 · arxiv_version: astro-ph/0408152v2 · doi: 10.48550/arxiv.astro-ph/0408152 · pith_short_12: FW6H6WXJSB4M · pith_short_16: FW6H6WXJSB4MBD5T · pith_short_8: FW6H6WXJ

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/FW6H6WXJSB4MBD5T2D44OWA52E \
  | 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: 2dbc7f5ae99078c08fb3d0f9c7581dd11581260de2fb90912c54c5a4f7aed963

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06ac1cefc620007e21064c094aa072a4808c8fc2e874495492c0c5235277ce68",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "physics.class-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-08-09T12:30:22Z",
    "title_canon_sha256": "ec062cc78fc14ab61e9a84c5c7e38fa7f3e87dae53ed46ddd6b60895aade3646"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0408152",
    "kind": "arxiv",
    "version": 2
  }
}