Pith Number

pith:2C2EJ43O

pith:2003:2C2EJ43ORE5XXK7AKOLYLZ4NJZ

not attested not anchored not stored refs pending

Strong field limit analysis of gravitational retro-lensing

Diego F. Torres, Ernesto F. Eiroa

arxiv:gr-qc/0311013 v2 · 2003-11-04 · 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{2C2EJ43ORE5XXK7AKOLYLZ4NJZ}

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

Strong gravitational lensing effects around rotating regular black holes

Receipt and verification

First computed	2026-07-04T16:40:18.523116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0b444f36e893b7babe0539785e78d4e74bb3fc11018abf0bb739d99a537c719

Aliases

arxiv: gr-qc/0311013 · arxiv_version: gr-qc/0311013v2 · doi: 10.48550/arxiv.gr-qc/0311013 · pith_short_12: 2C2EJ43ORE5X · pith_short_16: 2C2EJ43ORE5XXK7A · pith_short_8: 2C2EJ43O

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/2C2EJ43ORE5XXK7AKOLYLZ4NJZ \
  | 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: d0b444f36e893b7babe0539785e78d4e74bb3fc11018abf0bb739d99a537c719

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b132f842ded532a75370db871e186a3a113a1eeec54b76e94a7b7cf5944758a2",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-11-04T22:58:40Z",
    "title_canon_sha256": "d31ed81a66b2a1d08d9a19ac23b34a1cb64cdef5eb5a7e70ea6915800f1fb9bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0311013",
    "kind": "arxiv",
    "version": 2
  }
}