Pith Number

pith:PUBJHBRP

pith:2010:PUBJHBRPEQPUPLYGATOFIV3FDR

not attested not anchored not stored refs pending

Image formation in weak gravitational lensing by tidal charged black holes

David Hobill, L\'aszl\'o \'Arp\'ad Gergely, Zsolt Horv\'ath

arxiv:1005.2286 v2 · 2010-05-13 · gr-qc · astro-ph.CO · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PUBJHBRPEQPUPLYGATOFIV3FDR}

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

Astrophysical environment around a black hole in the braneworld and its optical signatures

Receipt and verification

First computed	2026-05-18T04:33:39.700752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d0293862f241f47af0604dc5457651c55f1ddaed5a7cb422195011b0e39225d

Aliases

arxiv: 1005.2286 · arxiv_version: 1005.2286v2 · doi: 10.48550/arxiv.1005.2286 · pith_short_12: PUBJHBRPEQPU · pith_short_16: PUBJHBRPEQPUPLYG · pith_short_8: PUBJHBRP

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/PUBJHBRPEQPUPLYGATOFIV3FDR \
  | 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: 7d0293862f241f47af0604dc5457651c55f1ddaed5a7cb422195011b0e39225d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c6b946ee89b2b91be6c9854b79b8234e477f5d31f59799d75e63a4a855d85c4",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-05-13T09:49:06Z",
    "title_canon_sha256": "fef6be6a05d0a771a2b707d7511829fa2f3b55e5de264b9ae7209886959148c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2286",
    "kind": "arxiv",
    "version": 2
  }
}