Pith Number

pith:NLSNFHFE

pith:2005:NLSNFHFE3IX3UWXJM43UZIWZFL

not attested not anchored not stored refs pending

Gravitational lensing by Einstein-Born-Infeld black holes

Ernesto F. Eiroa

arxiv:gr-qc/0511065 v2 · 2005-11-12 · 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{NLSNFHFE3IX3UWXJM43UZIWZFL}

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	2026-07-04T14:51:33.455255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ae4d29ca4da2fba5ae967374ca2d92ac3213ae4011ff80656de0d383431e72f

Aliases

arxiv: gr-qc/0511065 · arxiv_version: gr-qc/0511065v2 · doi: 10.48550/arxiv.gr-qc/0511065 · pith_short_12: NLSNFHFE3IX3 · pith_short_16: NLSNFHFE3IX3UWXJ · pith_short_8: NLSNFHFE

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/NLSNFHFE3IX3UWXJM43UZIWZFL \
  | 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: 6ae4d29ca4da2fba5ae967374ca2d92ac3213ae4011ff80656de0d383431e72f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ee74d291ace22f58b6b480d78b3304746d90c9ba3b1d3f6768bf18485db2e73",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-11-12T20:14:17Z",
    "title_canon_sha256": "e907e0a2447c599cc204f5b58409e7e37f6a0df31059d5225fbb4b08ca9abf84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0511065",
    "kind": "arxiv",
    "version": 2
  }
}